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🧵 Binary Visualizations

Ren !jNeMenEGrU No. 16199123

Hi Sci

I am playing with the idea of binary numbers having "inverted" values, based on if it's a 1 or a 0 and how that changes as bits increase. So ..

1 bit
0 & 1

2 bit
00 & 11 (0 & 3)
01 & 10 (1 & 2)

3 bit
000 & 111 (0 & 7)
001 & 110 (1 & 6)
010 & 101 (2 & 5)
011 & 100 (3 & 4)

4 bits

0000 & 1111 (0 & 15)
0001 & 1110 (1 & 14)
0010 & 1101 (2 & 13)
0011 & 1100 (3 & 12)
0100 & 1011 (4 & 11)
0101 & 1010 (5 & 10)
0110 & 1001 (6 & 9)
0111 & 1000 (7 & 8)

Let me know if I missed anything in my diagrams. Thought you guys would be the most honest if something is off

Anonymous No. 16199126

>>16199123
>Let me know if I missed anything in my diagrams

you missed your medication

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Ren !jNeMenEGrU No. 16199127

>>16199123
Another version

Anonymous No. 16199129

>>16199123
>Let me know if I missed anything

~

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Ren !jNeMenEGrU No. 16199130

>>16199126
And you missed the point.

Ren !jNeMenEGrU No. 16199132

>>16199129
I think it's funny that everyone's talking about my comment asking for feedback and not looking at the information at all.

Anonymous No. 16199135

Neat graphs. What do you use to draw them?

Anonymous No. 16199137

>>16199130
maybe you should explain your point without sounding like a schizo

Ren !jNeMenEGrU No. 16199139

>>16199135
Concepts, it has an infinite canvas which is really convenient for brain storming and a good price (30$/yr for pro cross-platform, or 15$ for a single OTP on one Device)

>>16199137
Maybe you should tell me what's so schizo about binary without sounding like someone who doesn't know how to read a diagram

Anonymous No. 16199140

>>16199123
You have just restated the fact that you can subtract a number from 2^n - 1, and the result will be symmetric. What is your point? You can literally do the same with any other base,
> 4+5 = 9
> "WOAAH!! INVERSION!!! That's, like, totally different from 2+7....."
I'm sorry, but there is a reason why you have to take your meds

Ren !jNeMenEGrU No. 16199141

>>16199140
You can do it in any other base, yes. But that's not the point. And "2n-1" isn't nearly as fun to look at.

What's your issue with binary?

You can't use lattices to build numbers in other bases though. Look at >>16199130

Anonymous No. 16199144

>>16199139
>Maybe you should tell me what's so schizo

Graphorrhea is most commonly associated with schizophrenia

Ren !jNeMenEGrU No. 16199145

>>16199144
Good to know 51 words and a dataset is considered incoherent rambling
Better tell X to lower it's word limit

Anonymous No. 16199146

>>16199145
>dataset

Ren !jNeMenEGrU No. 16199148

>>16199144
>>16199146

But really what don't you understand? If it's incoherent AFTER you look at the diagrams, I'd like to do what I can to make it coherent.

Anonymous No. 16199149

>>16199148
there's no information there

Anonymous No. 16199150

>>16199123
>>16199127
>>16199130
Looks like a Japanese girl drew it

Anonymous No. 16199151

>>16199141
There's nothing special about it. . Try doing this with base-3 and three constituent numbers, You will again find that each number has its ""counterpart"", only now it won't look so nice
In every base-m you can split the number into m numbers consisting of only 1's and 0's

Ren !jNeMenEGrU No. 16199154

>>16199149
What makes you say that?
If you make rows and columns of 0s and 1s, you can build binary numbers. You can do this infinitely. It's not exactly an equation to solve, but it is an interesting property of binary, is it not?

>>16199150
I am a girl and I did live in Japan for 2 years around college. あぁ、懐かしい
So you're not totally wrong. Good deduction.

>>16199151
>There's nothing special about it
Exactly! It's the most simple and common phenomena that are most universally true, and aren't they worth exploring and examining closely, in a variety of ways? Why is a leaf symmetrical? Why is a tree symmetrical? Why are human bodies symmetrical?
Almost everything in nature is symmetrical. Numbers are no different. .
So you're right, it's not special. It's the most common thing in the world and that's why I love it.

Anonymous No. 16199160

>>16199154
>but it is an interesting property of binary, is it not?

Apophenia (/æpoʊˈfiːniə/) is the tendency to perceive meaningful connections between unrelated things, and often marks the beginning stages of schizophrenia.

Ren !jNeMenEGrU No. 16199168

>>16199160
Ad Hominem
This fallacy occurs when, instead of addressing someone's argument or position, you irrelevantly attack the person or some aspect of the person who is making the argument.

Anonymous No. 16199170

>>16199168
Wrong

I'm not attacking you, I'm telling you that you may need help.

BTW if you wanna get into that, your whole thread is vacuous. (Fallacy of Vacuity) - there is nothing to engage with

Ren !jNeMenEGrU No. 16199192

>>16199170
>there is nothing to engage with
And yet here you are, engaging

I think you perceive it as vacuous because it's not an equation, problem or an argument. It just is. So I wouldn't call it a logical fallacy so much as a simple truth, painted in a way you find meaningless and annoying. I'm not trying to redefine or disprove anything that isn't already proven to be true. Just to make it fun. Think of it as a ball. You can have a ball, but you're not playing soccer until you kick it, then you're playing soccer. I'm throwing it through a hoop and you're just telling me that it's a soccer ball, not a basketball. A ball is a ball, and how you use it is what makes it interesting. How you use numbers is what makes them interesting too, they are not inherently fun.
Everything exists in relation to everything else, and to strip meaning away from all patterns because some people think patterns are for schizos is boring. I'll keep enjoying the patterns, and you can enjoy your disconnected world.

Either way, thanks for dancing with me. You're free to leave at any point.

Anonymous No. 16199201

>>16199123
https://en.wikipedia.org/wiki/Gray_code#Invention

Ren !jNeMenEGrU No. 16199272

>>16199201
Thank you! I didn't know it's name. I'll continue looking into his works.

Anonymous No. 16199651

>>16199201
I too thought about gray's code at first, but OP's idea is not that. Gray's code was about circumventing a problem old computers with physical switches had: when you flip a switch from off to on (0 -> 1) there is a sharp jump from 0 to some electric current, but due to the physical properties of the system the current's "strength" will wobble, sometimes briefly the current will be almost at 0. If you flip one switch at a time it's no big deal, but if you were to switch multiple switches, your computer could missinterpret the signal and receive a wrong combination of on off switches. Let's look at a concrete example, counting in binary from 0 to 7: going from 001 to 010 requires to flip both the last and middle switches at the same time, going from 011 to 100 requires flipping all 3 switches. To prevent wrong signal interpretation you could make the system wait between flips, but imagine going from 0111...1 64bit integer to 1000...0 64bit integer, 64 flips, 63 waits. Someone measured that switched current wobbles for about 2.6ms, so total waiting time of 63*2.6ms = 163.8ms, more than one 10th of a sec to process 9223372036854775807 + 1, crazy. That's why Gray's code was invented, could we order all combinations of n binary switches in a way that enables us to go from 1st to 2nd to 3rd to ... n-th state only fliping one switch each step? Yes we can, for eg. all bin numbers from 000 to 111 in gray are:
000 001 011 010 110 111 101 100, always flipping only one switch at a time, with no additional waiting

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Anonymous No. 16199692

Anon, that is 5 thousand years old and it's great. That's basically the Yijing (I Ching).

Each hexagram is a collection of 6 lines that are either Yin or Yang. More than that, they have inversed (flipped upside down) and opposite (each line/number is changed to its opposite) hexagrams, all neatly structured along with a poetic vision of what these relations mean.

A good starting point:
https://www.biroco.com/yijing/sequence.htm

Anonymous No. 16199711

>>16199123
you sure do seem to like talking about yourself on social media

Ren !jNeMenEGrU No. 16200245

>>16199651
Stibitz and Gray's solution(s) for the mechanical problems posed by binary is brilliant. While not as easily converted between bases, that's not the purpose it serves. Gray's binary is focused on minimizing friction and maximizing efficiency. It suits the needs of the machine for effective communication. It doesn't need to be easily decipherable by people. The fewer moving parts the better. I love the diagrams of his tesseract too, it's so satisfying to see it 3 dimensionalised like that.
So yes, they're very different ideas but I can see exactly what he went for and love it. I love seeing math creatively explored via puzzles, etc.

>>16199692
I had never made that connection before, and I love it! What a great diagram of the polarities. I love how it's volume is centered on the 010101/101010, it has a "equator" or "equilibrium" feel to it, relative to the poles 111111 & 000000. Also their choice of symbol to be symmetrical like that is beautiful and intuitive.
While it's not the Yijing, I've studied a small amount of feng shui, and it has put me in tune with the overall flow of my surroundings. Also the Tao de ching is wonderful. The passage about the space being what makes a vessel useful always sticks with me. Chinese scientific and philosophical traditions are so nuanced and thorough. Western schools of thought would benefit greatly from incorporating more of them into regular studies (as opposed to just reading about it if you're into anthropology, or Eastern medicine & philosophy). Thank you for sharing, and for the link!

>>16199711
You sure like making assumptions.
I don't have any social media. I don't consider 4chan social media either, because it is not based on algorithms & profiling users. It's a forum/image board which bumps whatever's commented on. (thanks for the bump, by the way).

Anonymous No. 16200561

>>16199154
>If you make rows and columns of 0s and 1s, you can build binary numbers.
No, the fact that you are only using 0s and 1s is what makes it binary, you didn't build anything, you just made your rows and columns conform to binary, you don't even need numbers to do this, you can do it with boolean values.

>You can do this infinitely. It's not exactly an equation to solve, but it is an interesting property of binary, is it not?
All number systems can increase infinitely, its not some property of binary, its how number systems are designed to function.

>Why is a leaf symmetrical? Why is a tree symmetrical? Why are human bodies symmetrical?
They aren't, you can choose ones trying to conform to symmetry, but none will be perfectly symmetrical.

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Anonymous No. 16200578

>numbers have complements
Wow, no fucking shit
>I can draw colorful pictures
Good job, we did this in kindergarten

Anonymous No. 16200622

>>16200578
>I can post frogs on a mongolian basket-weaving forum
Good job, I did that as a 7 year old

Anonymous No. 16200627

>>16200622
No, you didn't. That would be against the rules.

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Ren !jNeMenEGrU No. 16200777

>>16200561
>No, the fact that you are only using 0s and 1s is what makes it binary,
You clearly don't understand that binary is not 0s and 1s but base 2. I've also made numerals for it. I actually hate how 0s, 1s and A-F look. I can't un-think 10 being ten, and 1A looks like an apartment number to me. So here are those. I can't pop them into a calculator so, drawing is great.

Sure you can do it with booleans, but it's not as fun.

>none will be perfectly symmetrical
I'm so glad we don't look like Picasso paintings though. Like, even when there are birth deformities on people it's things like a cleft palette (often along the line of symmetry). It's not about there being perfect symmetry. You're just disagreeable to be disagreeable

>>16200578
>Thinking people exploring mathematical concepts and using something other than excel spreadsheets is for kindergarten
You sound like a close-minded, washed-out, boring old troll.
Something kindergartners know that you don't is how to have fun.
If it helps at all, I started working on this while starting a fantasy novel. The mechanical race uses binary, the ancients use a sexagesimal similar to the Babylonians. The plants use 7. I made a finger counting method for hex/binary too, I'll share that later if I feel like it.

>>16200627
>Thinks under-18s don't know how to press a "confirm you're age" button

Anonymous No. 16201215

>>16199123
I don't understand the purpose. Your visualizations are aesthetically pleasing but I don't understand what they are trying to communicate.

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Ren !jNeMenEGrU No. 16201678

>>16201215
You saying this made me realize I hadn't shared anything about the finger counting. Here's how my finger counting works and why it needs to be in a grid. It's way better than using your 10 fingers to count to 10.

I rotated the numerals so they are read left-right like English instead of up down, so the symbols are different than this >>16200777 but have the same meaning. Disregard the previous one. It uses a symbol (sideways 8, to prevent confusion with the decimal 8) and each position represents a binary bit value.

I made a finger counting situation for base 10 too, but haven't made a chart for it. It's basically your pointer, middle and ring fingers, but with the tip, 1st and 2nd joints making rows for 1-3, 4-6 and 7-9, your pinky is 0. I could make a chart for that too if anyone wants. I'm a tactile person and get annoyed by how numbers are so hands - off. This makes them a little more "tangible" so to speak
High fives to anyone who can find a mathmetician who's done this before. I couldn't find it and looked pretty hard.
It started as a world building project that I started using in my daily life. A bit of a life-hack when you get good at it haha

Anonymous No. 16201741

>>16201678
So it's just a pet project for you for different ways of visualizing counting?

Ren !jNeMenEGrU No. 16201762

>>16201741
Yes, exactly. And since you guys like math I thought you'd find it fun.

Anonymous No. 16201778

>>16201678
When will you ever count to 100?

Ren !jNeMenEGrU No. 16201790

>>16201778
You can do simple arithmetic (multiplication, division, addition, subtraction) it's not only for counting. It's like a hand abacus.

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Ren !jNeMenEGrU No. 16201939

>>16201778
Here's base 10. Also I count above 10 a lot, and appreciate having "0" positions to hold. The 1-for-1 finger counting doesn't account for 0 except as "no fingers".

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Ren !jNeMenEGrU No. 16202082

>>16201939
These are the patterns you use to multiply. They move in predictable patterns, and each number's order is different.

Anonymous No. 16202234

>>16199123
interesting, it reminds me of the DNA double helix.

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Ren !jNeMenEGrU No. 16202442

>>16202234
DNA is essentially binary when you think of the base pairs (A-T, G-C) & their reverse variations (T-A, G-C) I don't know enough about genetics to cross into it more deeply unfortunately. But I can see binary being applied in the genetic field by someone more knowledgeable/savvy in that area. I know there is a connection between binary and our body given the proportions we see in it.

For example, in utero a fetus is about half-head, half body. When they are born their head is about 1/4 their height, and as an adult it reduces to 1/8 their height. This diagram isn't mine, but it was one of the few that started a height chart in-utero.

Also, here's something from the Roman architect, Vetruvio, describing some of the proportions. "The measurements of man are in nature distributed in this manner: that is a palm is four fingers, a foot is four palms, a cubit is six palms, four cubits make a man, a pace is four cubits, a man is 24 palms and these measurements are in his buildings"

It's a fascinating feature of the human body.

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Ren !jNeMenEGrU No. 16202481

>>16199692
I don't know if you're still around, anon, but thanks again for the link to their site. This diagram of it is one of my favs he put together and is very similar to a diagram I previously made. It's a great portrayal of binary. If science is simply something that... when a phenomena is observed, multiple people can independently come to the same conclusions, and these conclusions are always repeatable.. the Yijing is quite scientific. I think Western culture has largely overlooked it because of it's association with telling fortunes, which is a shame. The core of it is solid. The anti-Chinese propaganda in America has gone on for a long time. My daughter and I were watching the Aristocats and the Siamese cat's only line in the whole movie is "fortune cookie always wrong" in a thick accent, they're drawn all cross-eyed with crazy teeth. It's small but subtle jabs like that which turn an entire cultural heritage into a joke. It's a disgusting mis-use of media.
I feel like one of the next big steps for humanity (as a whole) will be for Eastern sciences & philosophies to be given their due credit. Not just Western sciences. I recently got my daughter a book about engineering and it only follows the Greek/Roman side, then goes into Newton, etc. I feel like we're missing half the story. I've found it strange that Europe and Asia are often separated too instead of portrayed as Eurasia, something reinforced by our maps being centered on the Atlantic (America being closer to Europe) instead of the Pacific Ocean (Closer to Asia).
Meanwhile, Chinese invented things like gunpowder and compasses independently. Not to mention the Arabic mathmetic legacy. We still use Hindu-Arabic numerals and they pioneered algebra in amazing ways. There are so many brilliant minds who have contributed to shaping our world.
Do you have any book recommendations that I could use to supplement her education? I'd like her to learn about both the Eastern and Western legacies.

Anonymous No. 16202498

>>16202442
DNA is not binary, baseline is 4 possible distinct bases, if you include modifications the number grows to about 6 for DNA and probably around 20 for RNA I don't remember the exact numbers, if you count genetic code then DNA can be base 64 with functional degenerated 20 options

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Ren !jNeMenEGrU No. 16202510

>>16202498
Thanks for the clarification! 64 = 8
Binary fission is another one of the things that is very binary, and the growth pattern of a cell to blastocyst, to fetus. (1 cell, 2 cells, 4 cells, 8 cells, 16, etc )

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Ren !jNeMenEGrU No. 16202512

>>16202510
I meant 8^2. Sorry. My phone keyboard can't write exponents

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Anonymous No. 16202515

>>16202481
I'm still here. Glad you liked it, it's fascinating.

>the Yijing is quite scientific. I think Western culture has largely overlooked it because of it's association with telling fortunes, which is a shame. The core of it is solid. The anti-Chinese propaganda in America has gone on for a long time.
I've done extensive research on the Yijing for a final paper in college, so ask away if you want.

I wouldn't say the Yijing is scientific though, the core text is super poetic and hard to understand, it has survived throughout the ages mostly because no one would ban a book so weird/basic/deep. When European priests encountered the Yijing for the first time, they thought it was the word of Christ in China. Point being, it can be whatever the hell you want, it's cryptic and kind of forever lost in translation. But its foundation is basic: 0 and 1, yin and yang and the fact that you can only have a pole if you have another, if everything was cold, nothing would be cold, if everything was hot, nothing is hot, it is only through the contrast of hot and cold that they exist. In this sense I understand you calling it scientific, though the concept and practice of science as we understand it today does not apply to it, it would be anachronic.

This binary concept and the divination practices are older than China itself, older than the concept of Yin Yang which was later interconnected to the Yijing. It also bridges between two main lines of thought in China: daoism and confucionism.
Leibniz, who developed the binary numbers as we know, had pic related with him, which created the rumor that he was inspired by the Yijing. Except he received that from a friend after his work was already completed, as a curiosity and he didn't read Chinese.

Anonymous No. 16202524

>>16202481

>>16202515 cont

You are right about West propaganda against the East, it's called orientalism. I think it's very nice that you try to diversify what you show your daughter. You may want to check Edward Said's work, this doc talks about the portrayal of the middle-east in cartoons:
https://www.youtube.com/watch?v=fVC8EYd_Z_g

Another rec is Idries Shah:
https://www.youtube.com/watch?v=1v0oGh7mTV0

The cartoon shown in that doc is about Nasruddin, his stories are great for your daughter. That cartoon is made by animator Richard Williams, whose unfinished project Thief and the Cobbler is just fantastic and draws a lot of inspiration from the arab and persian culture. Fans have been editing and polishing it throughout the years:
https://www.youtube.com/watch?v=BKTCSLbjhtM

More to east, I'd recommend you give her books by Alan Watts, it's a great bridge between east and west and he makes it easier for western audiences to understand eastern thinking.
https://www.youtube.com/watch?v=edsL-FOg9_I&list=PLOHG5PB2LOcgZtIDzD2FY7jI67UWuIWFr
Books I recommend are Way of Zen and "The Book Against The Taboo of Knowing Who You Are"

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Anonymous No. 16202565

>>16199126
pure mathematics is done by schizos, for schizos
ur just mad cuz ur bad

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Ren !jNeMenEGrU No. 16202749

>>16202515
>>16202524

That sequence is beautiful. I love how calligraphers pay such close attention to the aesthetic quality too. The bigua sequence and it's relation to the moon cycles and seasonal cycles resonates strongly with me. I think of the new moon as connected to north (both backlit), and both of those to midnight and the winter solstice (when night > day), and the extreme minimum of light. On the inverse you have the full moon, South, noon and The summer solstice. The poetic nature of things makes it fun, and inviting. So even if it's not exactly science, as per the current times, it is a fundamental truth that people can observe from an infinite variety of angles. Whether it be Leibniz's binary or the Yijing, or Gray's code, or what I'm playing with. Leibniz just gave an old idea a new suit, so it could be assimilated into the mainstream more readily. Simultaneous invention/multiple discovery is a common phenomena.

I apologize if it's inconvenient, but could you possibly share the translations for the hanzi in this image? I can read the numbers (一、二、三、etc. Because it's the same as Japanese but can only read "thousand", and what looks like "future" next to it. Sorry that my hanzi/kanji isn't better. Its been about a decade since I was in Japan. Thanks for being open to questions! What a fascinating research project.

Also thank you for the links, and for the correct term. I will watch them when I have the time over the next few days and will have more to respond then.
I love Alan Watts, he is very insightful. I have only listened to his recordings, but will check out those books too.

>>16202565
Thanks for the bump!

I've found those thread to be quite pleasant & successful, since I've met Yijing-anon.
I don't care if my ideas are applied. I want to find like-minded people and share something fun/different. If anyone else finds it enjoyable, that's a win in my book. "Schizo" is a lazy insult though, I'd prefer something more clever.

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Ren !jNeMenEGrU No. 16202789

>>16202749
Cont.
Also in this set of diagrams I notice that In the first the 000000/111111 are opposite each other but disconnected as poles. Then in the 2nd one, they are at the 90° position clockwise to it. What's going on there?

grin fx No. 16202844

HI Ren, I am really interested in this topic but I don't quite understand what this is. Can you explain? ;)

Anonymous No. 16202858

>>16202749
>I apologize if it's inconvenient, but could you possibly share the translations for the hanzi in this image? I can read the numbers (一、二、三、etc. Because it's the same as Japanese but can only read "thousand", and what looks like "future" next to it. Sorry that my hanzi/kanji isn't better. Its been about a decade since I was in Japan. Thanks for being open to questions! What a fascinating research project.

I can't read hanzi, only barely. Also that print is not helping either. Tthose are the gua called Sovereign Hexagrams, they describes the seasons.

>>16202789
The left diagram is the "intuitive" one, in which their positions around the circle is symmetric, just by looking at their opposites. The second one is called King Wen's sequence, he is the one who arranged the hexagrams in the most popular order in the book. His sequence is more poetic, it can be understood as a family sitting together (2 parents, 3 daughters, 3 sons). The Receptive (000) is the mother, the Creative (111) is the father, between them, under their protection, is the youngest daughter (Lake, 110). The middle son (Fire, 101) and middle daughter (Water, 010) sit right next to them. Then younger son (Mountain, 001) next to middle daughter, older daughter (Wind, 011) next to the middle son, and the oldest son (Thunder, 100) opposite to the youngest daughter. There is a whole theory on how that sequence works, but it's a power relationship thing. This is today the most common bagua sequence.

Anonymous No. 16202860

>>16202858
Sorry for the broken English, I didn't get any sleep last night.

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Ren !jNeMenEGrU No. 16202985

>>16202844
Hi Grin FX ;)
It's all about having fun. For example, here's my dog. There's a 99.9% chance you'll think she's cute.

>>16202858
>>16202860
Thanks! I love the story of the parents and children as an analogy for the power dynamics. Many ancient stories seem to use gods/goddesses to explain natural principles.
One of the things I want to explore more is how our cultural stories influence scientific approaches. For example, how monotheism has created biases in the Western scientific community because it's so central to Western thought.
The Out-of-Africa hypothesis of human origins is centered where biblical stories occur (Africa has Egypt, geographically close to the Middle East). But in China they found the Peking man which contributed to an Asiacentric evolutionary model, and they are more receptive to the total replacement hypothesis and the multiregional or polycentric hypothesis.
Neanderthal and Denisovan genes are highly localized to their respective populations.
Coming from a non-dualistic culture, I wonder if their scientists are more primed/open to hypothesis that don't rely on a single point of origin. Whereas monotheism and "The Garden of Eden" primed people to look for a singular origin, and to be more closed-off to counter ideas. The mindsets of many people in the scientific community also seem to have been "inherited" from the church. Harsh judgement of non-believers of mainstream science, the black-and-white right and wrong mentalities. It's also has caused people to compartmentalize/sterilize fields like science and math, so that it doesn't mix with poetry, art, etc.
But polymaths like Leonardo da Vinci have contributed so much in the past. If he was born today and still pursued art, he'd get shoved off and told to stay in his lane. It's frustrating how hostile the current system is towards alternative ideas & methods.

And no worries, your English is excellent!

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Ren !jNeMenEGrU No. 16203039

Here's another fun thing I found cleaning up. My kid pretends its her cell phone.

It's a reversible base-12 abacus (soroban style) made with Legos. Binary is my favorite base but duodecimal is a close 2nd. It is the smallest number with the most factors (12, 6, 4, 3, 2, 1) including 1-4, making working in thirds much tidier compared to decimal (10, 5, 2, 1)
It's either 2 beads with a value of 1 and 3 beads with a value of 3. When flipped it's 3 beads with a value of 1 and 2 beads with a value of 4. Useful? Not really. Fun to make? Yes.
I think it's important to remember in the age of AI that sometimes making things is for ourselves. Just to do something we haven't done before. Even though it can be done with booleans, or an easier way, you don't build muscles by watching work out videos. You gain muscle by challenging yourself.

So if anyone else wants to share pet projects (useful or useless) feel free to post them. It doesn't have to be binary.

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Anonymous No. 16203219

>>16199123
>>16199127
>>16199130
Anon... holy mother of fuck. This is something I've toiled over for years-- since I was in high school. This type of shit has had me fascinated for eons. Just looking at these images gave me fucking chills because I don't think that anyone else I've ever known has had an idea so similar to mine.

I am in a slight rush at the moment but I'll come back and give some feedback as well as some of my own thoughts. HOLY SHIT HOLY SHIT HOLY SHIT I CANNOT BELIEVE THIS OH MY GOODNESS

Resolve !!EVGgx2S/Lta No. 16203231

>>16203219 (me)
Gonna tripcode myself for later

Ren !jNeMenEGrU No. 16203468

>>16203219
>>16203231
I'm so glad you're here!
You saying that feels like, sending out a flare and making contact. I can't wait to see some of your stuff (if you care to share) and to talk about it!
Nice meeting you, Resolve.

Resolve !!EVGgx2S/Lta No. 16203682

>>16203468
>You saying that feels like, sending out a flare and making contact.
Agreed. I'm really glad that I saw this thread. What you have here is really great.
I don't want to say too much because I'm working on something adjacent to all of this which might change our entire perspective on... technology as a whole.

As I've been saying, this has been something that's fascinated me for years, about about five or six. Anyways, enough about me, let's get to business.

>>16199123
>>16199127
>>16199130
I've conjectured independently that there's three intrinsic growth models which can occur, and you currently have two of them. Those three being, Trophical, Flosical, and Crystalline. Trophical growth is your Inverse growth model, it grows like a plant and can be geared toward an objective (like the sun). Flosical growth is like a flower, it spirals outwards from a starting ring of numbers. The third is your crystalline growth method (lattice), and this can either start as a ring or square of digits and progress outwards.

Now what your system is missing, is a way to create new systems from these three. Because growth doesn't always occur the same way every time. This is where Abstract Language Theory (ALT) comes in. Unlike Formal Language Theory, this is different because rather than manipulating sequences, we are manipulating the rules govern them. So for instance, we have L-Systems (I call them Clover Systems in this context) are the systems which use production rules to simulate growth (The three earlier).

Now with ALT, we go a tier above that, and create "metarules" for manipulating the rules themselves. I call these systems "Hyperclover Systems". Every iteration they create a new Growth system unlike the previous ones. And THIS is where the fun begins!

Resolve !!EVGgx2S/Lta No. 16203694

>>16203682 (me) (cont.)
Now, not only is the "seed" growing, but the very method by which determines its growth is "growing". It's really quite something to think about.

So yeah. That's a facet of what I've been working on. I hope that whets your appetite for this kind of stuff.

Anonymous No. 16203797

>>16199123
The circles around each other with increasing bits is great, what do the colors stand for though?

>>16199127
The rings in the circles are an amazing way of showing which bits are 1 and which are 0. Amazing idea, anon. I hope you can make it into a work of art otherwise I will steal your idea.

>>16199130
The squares are insightful and show the structure quite well. Too bad going over 2 dimensions is hard in an image.

>>16203039
Nice to share projects but I don't get your abacus.

Ren !jNeMenEGrU No. 16204047

>>16203682
I love the three growth models, the Flosical model sounds very Fibonacci-esque. Do you have some diagrams you've worked on? Perhaps I could try to make one when I have some time. I have barely touched the surface of the crystalline model, it's impossible to explain in words but basically each "square" becomes like a "cell" in an array and the patterns match between the small cells when larger cells (very macro-micro). It's fun but time consuming to make them cleaner, so I hadn't gotten to it yet. I'm mostly making these from my phone.

I don't mind if you share more. I have an atypical outlook on technology. It might be a little too woo for a lot of people but I have a semi-animistic outlook on life. Not that everything has a spirit exactly, but there is a "being-ness" that each thing possesses unique to itself.
All the matter in my hand is being a phone right now, instead of a flower. It is always seeking signals to decipher (invisible to me) and can access the closest thing to our hive-mind/societal-memory (the Internet). The Internet in particular is fascinating because it's synced between all connected devices. So when the Internet is updated one place, it's updated all places. Also the fact that you can pull up a photo from 10 years ago, and it'll be the same (if the data wasnt corrupted) as it was then. The computer doesn't care if it's a photo of a toe or Mount Everest. These are very unique features about tech that gives me a special love and respect for it.
Now, there's individuation. For example, a fast phone with an un-broken screen is preferable to a slow one with a broken screen. The qualities which make an object (un)desirable are its "individuated being".
I used to spend 12+ hrs/day on the comp, and I couldn't help but wonder how "machines think" that makes them so much more efficient than us. There is so much ambiguity in our language, and none in theirs (it's all on/off switches). That spurred getting into binary more.

Ren !jNeMenEGrU No. 16204067

>>16203682
Another thing before going into Language Theory. I think it's actually the norm for ideas to be independently conjectured when the idea is ready. Simultaneous invention is a common phenomena (shown with patents for similar inventions being filed very closely together) If you have had feelings similar to mine while working on yours, it feels like following the white rabbit. You see a bit of it then follow it to a logical end. Then you see a different aspect, and follow that. I think ideas are like birds, when you throw out seeds they will land and hang out. If you're being noisy/obtuse they'll fly away. The seeds are your focus, no idea comes to you without your attention. Right now we live in an attention-economy, where all "free" sites are selling your attention and awareness. Jobs that hire you are buying your attention. It is the most valuable thing we all inherently possess. That goes into a different thing though so I'll stop there.
It's also like tuning into radio stations, while accessing ideas. Mainstream-thought stations are very loud and clear. Ideas like this one are quiet and staticy, and in-between main-stream stations. If you're just flipping channels they are easy to overlook.
So, to interject

>>16203797
>I hope you can make it into a work of art otherwise I will steal your idea.
If you'd like to play with any of the ideas presented please do! These aren't "my" ideas, and to treat them as something that can be stolen limits their possibilities. All ideas are inherently open-source, until copyright laws puts them in a cage. I am only signing them because knowing who made something helps with continuity. Not to bar them off from others.

Ren !jNeMenEGrU No. 16204132

>>16203682
I'm unfamiliar with both ALT and FLT so I will have to do some independent research before I can have an intelligent discussion with you on them. I love this idea of "metarules" that manipulate/randomize growth patterns. I always find it amusing how 2 plants can be the same species but so radically different (based on conditions). I think of the "randomizing" factors as being the amount of sunlight, water and soil quality for plants. North-facing and south-facing are either loved or hated by certain species. For people, these conditions are things like finances, family size/structure, cultural heritage. Geography also matters for people but we spend a lot of time indoors so the North/South/East/West isn't as pertinent as it is to plants. Our circadian rhythms are mostly ignored. We answer to the artificial clock/calendar instead of lunar/solar time (day/night, solstices, equinoxes, cross-quarters). If someone says they want to meet at noon, it means 12:00pm. Naturally, it means when the sun is at its zenith.
This de-naturalization has created problems for the Earth. Specifically, Winter is a time of contraction, where everything rests. Meanwhile we keep our 9-5, M-F schedules all year round, and can buy bananas at the store any day of the year. Not saying that it's wrong, just that our way of life has impacts. Wanting bananas year round leads to the necessity for banana Republics. The amount of energy it takes to move food half-way around the world is far greater than local food production (natural, energy-efficient, but not the norm). Summer is the season of expansion. Schools have summer breaks, bc of agriculture but also I think it's too energizing for them to keep all the kids in check. As adults, we have been so conditioned to the M-F schedule that they even take that away. Our society prefers neutrals over extremes, and has done everything in it's power to create consistency. Even if it means sacrificing the exceptional for the mediocre.

Anonymous No. 16204169

>schizo circlejerk thread #481
really wish the mods would just nuke this board already

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Ren !jNeMenEGrU No. 16204329

>>16203797
>The circles around each other with increasing bits is great, what do the colors stand for though?
The colors are to show the "range" of the values and how they compress as it scales up. The previous "level" will always encompass half of the next level. (0-7 is half of 0-15) So it's a visual aid.

>The rings in the circles are an amazing way of showing which bits are 1 and which are 0. Amazing idea, anon. I hope you can make it into a work of art otherwise I will steal your idea.
I'm glad you like the rings! It shows the relationship better than a string. If you do make some art please share later. I have this planned to make a quilt.

>The squares are insightful and show the structure quite well. Too bad going over 2 dimensions is hard in an image.
It is. I'll give it my best shot when I have some time though. It takes some time to figure out a way to explain things so the information doesn't get too spread-out.


>>16204169
>I don't get it, must be schizo
Schizo is a lazy insult. I'd prefer some higher quality trolling, if possible.
They don't have to nuke it. If you don't like it, don't look.

Resolve !!EVGgx2S/Lta No. 16204449

>>16204047
>I couldn't help but wonder how "machines think" that makes them so much more efficient than us
You my friend, have a very similar philosophy to mine. I like that.

>>16204067 (>>16204132)
Abstract Language Theory doesn't even exist (yet!). We'd have to make it, and it would be really easy since I've already helped you to flesh out what that entails. It's just a tier above FLT and it creates new systems at ever iteration.

I don't have very many illustrations left, and I'd have to go digging for them (or I'd have to make new ones). I think that building off your idea and getting it into some Abstract form is more important at the moment because if we give your idea a framework for itself to evolve and create new growth systems, then we're pretty much off to the races then.

>>16204169
>Anon doesn't want to participate in a potentially groundbreaking discussion
Sad!

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Ren !jNeMenEGrU No. 16204455

>>16203797
>>16204329
This might be a clearer color-coding for the compression.

Ren !jNeMenEGrU No. 16204647

>>16204449
I think this >>16201678 is relevant to the idea of "creating a new system at each level". It's not quite to the degree at which you're suggesting, but it takes a building-block based approach to binary numerals (inspired by Korean, Hebrew and Arabic alphabets). They expand as the 0s increase. You could also just put the shorter ones side-by-side side like normal numbers. But the idea is that the symbol has "positions" that signify the value or state in the sequence. So the numerals are dynamic/growing/changing.
Whenever it expands to the next level, it can automatically fit everything from the previous levels ×2.
The symbols could be anything, I've just found these ones to be fairly simple and easy to write, while not being redundant with commonly used symbols. They could easily be changed if necessary.
Each base I've worked on has its own unique/tailored one I've made to prevent confusion between bases.

Part of my need to make new symbols instead of reusing old ones is because I view mathematics as a language representing specific abstract (polarized) concepts. Without math we would be lost trying to describe weights (heavy vs light), degrees (hot vs cold), speeds (fast vs slow), quantities (few vs many), etc. And everyone who knows math in addition to another language is essentially bi-lingual. You can "speak" math with people who don't know English. Say "1+1=?" And they'll say 2.

But anyways. I think one of the biggest hurdles in creating something like Abstract Language Theory will be creating the symbology necessary for it to stand on its own instead of trying to Frankenstein something together with old symbols that are already loaded with meaning. As soon as someone learns 10 = 5+5 it is very hard to unlearn that 10 is base-relative, and learn "10" can also be "2" (binary), 12 (duodecimal), 16 (hexadecimal)
You can learn that 10 is relative... but the association with 5+5 is always dominant, and in the background.

Ren !jNeMenEGrU No. 16205545

>>16204449
Here's an expanded version of 5's sequence in the crystalline / lattice array. It's kind of a lot but I hope this is clear

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Ren !jNeMenEGrU No. 16205547

>>16205545
Oops. Forgot image.

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Ren !jNeMenEGrU No. 16205770

>>16205547
Here's 3's fractal. I'll plug away through the other 14 later

Anonymous No. 16206221

Interesting. Very neat concept you anons are playing with. This is the type of stuff that drives board culture, keep it up!

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Ren !jNeMenEGrU No. 16206340

>>16205770
Here's 2. It's very simple/straight Forward.
In decimal, if you make a 10*10 grid, 5 would look like this (the 1/2 pattern)
That's why these are base-specific. In base-9 (3*3) 2 looks like a checker board. It explores the relationship between the base and is "parts"/numbers.

Also, the 10 values (such as 9 = *10* 01) have a "skipping"pattern going on. It's almost like the patterns mix/hybridize. 01's descend, 11's ascend, 10 skip and 00s are flat. I'll share 9 next to explain this.
Sorry that these are getting less detailed, I am getting frustrated by the program and how the grid snap keeps misaligning things.

>>16206221
Thanks anon! I really appreciate 4chan's and /sci/s culture. People speak their mind, whether it be good, bad or ugly. Too many honest feelings are hidden behind politeness in everyday society.

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Ren !jNeMenEGrU No. 16206350

>>16206340
The first set of bits (01) follow the 01 descending pattern like 5 >>16205547
But the second set of bits (10) follow a skipping pattern like 2 (10) >>16206340 except, it goes [00, 10, 00, 10 -> 01, 11, 01, 11 -> 10, 00, 10, 00 -> 11, 01, 11, 01] (reversing which values skip/alternate throughout the sequence) then it repeats from the beginning

It looks more irregular when graphed out because of the spacing, but some parts of it have a double-helix vibe to me.

grin fx No. 16206392

>>16202985
He/She is cute tho.

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Ren !jNeMenEGrU No. 16206883

>>16206392
( * ^ w^*)
Here's our other dog in his tiny chair

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Ren !jNeMenEGrU No. 16206886

>>16206350
1 just covers everything.
0 is coming next.

Anonymous No. 16206889

This is a Gary post isn't it?

Explain your schizo drawings boy, what are they good for

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Anonymous No. 16206919

>>16199123
in cs this is the idea behind 2s complement, it's how you represent negative numbers in a way that's amenable for implementing arithmetic operations.

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Ren !jNeMenEGrU No. 16207218

>>16206886
0 is deceptively simple. So simple it's easy to overlook as being "nothing", "neutral" or a "non-value".
It's neat how 0 and 1 behave differently from every other number though. Their oddities make them difficult to explain and use at times. Ie. The square root of 2 = 1.41 etc, and 1^2=1 (sorry Terrence) or a number divided by zero is undetermined.
0 x anything = 0
0 + anything = itself= 1 × anything
If I had to think of a shape to describe 0 and 1 it would be the moebius strip. Where, it's a loop that you can traverse both sides without lifting a finger. So even though it's technically a 2-sided thing it behaves as though it only has 1 side. I like to imagine double helixes as some sort of moebius. Also a sphere (all points on the surface equidistant from the center) It isn't until we have 4 vertices and faces that we get a full blown shape though (tetrahedron) so I think of 0-3 as pre-form values. 0 could also be thought of as an XYZ-axis space in a 3D program, like a canvas,and 1 is a point or vertice. 2 vertices and you have a line. 3 and you have a plane (triangle). 4 and you have a shape/form (tetrahedron)

It's anomalous, but just like we get used to "corps" being pronounced "core" their qualities also become a "no duh" thing and fade into the background.

>>16206889
I've seen Gary talked about in some other stuff but am unfamiliar with his work. It's very possible he's become aware of some of the same things as myself and others, just like with the Yijing >>16199692 and Resolve >>16203219
It's an idea that feels very natural and obvious once it sinks in.

>>16206919
Fascinating! I like how they visualize the equations. Thank you for sharing

I'll be camping for a couple days so I won't be around. Here is a Discord server to continue in, if/when this thread dies.

https://discord.com/invite/RWd2QZ7u

Anonymous No. 16207334

>>16207218
>just like we get used to "corps" being pronounced "core"
What an odd analogy

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Ren !jNeMenEGrU No. 16207810

>>16207334
I've hated its pronunciation/spelling since I learned it. Same with colonel/"kernal". I wish English would stop being the bastard child of Europe, and get it's phonetic shit together. But alas, my linguistic grievances have no place here.
Another analogy would be, if you consider biology. You get a new organism from a sperm and an egg, unless its an asexual lizard w/ parthenogenesis, or if you cut an arm off a starfish and it becomes 2 organisms. Also tardigrades are the cutest little indestructible freaks of nature.
Many things are considered "impossible". Then we find something that does it and we add a little footnote saying "this is the rule, except when XY I'll..."
0&1 are those sorts of things.
We learn to accept anomalies but are terrible at predicting them. I think this is where Resolve's curiosity was piqued as well, and where they are going with Abstract Language Theory. >>16204449

Camping is turning into a day-trip because of the weather.
See you guys later

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Anonymous No. 16207826

>>16207810
>Many things are considered "impossible". Then we find something that does it and we add a little footnote saying "this is the rule, except when XY I'll..."
have fun!

Anonymous No. 16208419

up

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Ren !jNeMenEGrU No. 16208755

>>16207826
"Can't you define this new counter example out of existence? I thought there was no hypothesis in the world you could not save from falsification with a suitable linguistic trick"
The burns in this are amazing

Besides the snark, there are some great ideas in there. I had no idea the idea of a polygon was such a heated debate, and a nuanced topic. I've always thought it was so straightforward.

>>16208419
Thanks Anon!

Thank you for sharing! That was a fun read.

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Ren !jNeMenEGrU No. 16208759

>>16207826

Also this footnote needs some special appreciation. Deiknymi / thought experiments is what I feel like this whole project is. And how theorums proceed proofs.
Also the idea about hopeful monsters (mutations) that might seem needlessly contradictory but actually spur growth/improvement

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Ren !jNeMenEGrU No. 16208765

>>16208759
"We must not forget that what may be a monster today will tomorrow be the origin of a line of special adaptations..."

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Ren !jNeMenEGrU No. 16208771

>>16208765
Sorry for spamming. I posted the wrong picture and it won't let me delete the previous post.

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Ren !jNeMenEGrU No. 16208878

>>16206340
I'll be posting 4, 8 and 12 in close succession. They're very closely related. 4 is 1/2 of 2's pattern.

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Ren !jNeMenEGrU No. 16208882

>>16208878
8's pattern is half of 4.

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Ren !jNeMenEGrU No. 16208887

>>16208878
>>16205770
12 is a hybrid of 3 and 4.
It's sequence is only 3 long, due to that 12/4=3 relationship.

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Anonymous No. 16208901

>>16207826
I must admit, this Kappa fucker feeling a bit personal.

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Ren !jNeMenEGrU No. 16209022

>>16208901
I generously agree,and love how Theta drops this bomb out of nowhere

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Ren !jNeMenEGrU No. 16209080

>>16208887

3 >>16205770
5 >>16205547

I like the spacing on 15. Also how it is always inverted pairs, (0001 + 1110, 0010+1101) just like 9s multiples in base 10. (1+8, 2+7, 3+6...)
It's true for all base's "final" or "tipping point" numbers before looping back around to 0/10 (resetting the pattern)

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Ren !jNeMenEGrU No. 16209663

>>16209080

2 >>16206340
5 >>16205547

Here's 10. The macro pattern of the cells matches 5 (10/2=5) and it does the skipping pattern of 2 in the first bit set.
It's a bit odd how the second bit set goes 00, 10, 01, 11 -> 10, 00, 11, 01

Most strictly follow ascending or descending patterns.
I made these charts initially so I could do finger arithmetic though. >>16201678
The first set of 4-bits (in two 2-bit sets) is where you hold the 1s. The first 2 bits signifying which finger you use, and the second twosignifying the knuckle position. The second 4-bits are for the right hand to hold the 10s.

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Ren !jNeMenEGrU No. 16210062

2 >>16206340
3 >>16205770
C (12) >>16208887

Here is 6. Similar to 12, it's macro pattern is 3 cells long (6/2=3) it has the 10 skipping pattern, and a short descending 01. The pattern resets every 8-bits.

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Ren !jNeMenEGrU No. 16210170

>>16210062
7

Anonymous No. 16210626

look up vortex math

Anonymous No. 16210642

>>16199154
>I am a girl
>>16199150
>Looks like a Japanese girl drew it

YWNBAW

Anonymous No. 16211133

>>16210642
kek

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Ren !jNeMenEGrU No. 16211135

>>16210626
The Vortex math is fascinating. The torus/vortex are very fundamental shapes. I enjoy the 3-6-9 relationship and how they account for the other numerals as well.
I feel like it starts getting a little religious for my tastes though. I am leery of things that elevate the yogi/mystic archetype (non-attachment being the goal). The yogi, to me, is someone who disregards the body/physical in pursuit of the spiritual/mystical... On the flip-side, we have people who believe everything is purely physical & chemical reactions. This mind/spirit & body need to be balanced instead of pushed to one extreme or the other. For example, stress (a mind/spirit condition) can cause your body to have hives, insomnia, etc. and if your body is in pain, you become stressed. It's a feedback loop, that creates either pain or pleasure.

Gardening, for example, is a task aimed at sustaining the body (food production). You can learn as much (or more) about life while communing with plants, as when when meditating. Food engages an amazing combination of sensory experiences (taste, smell, feel, sight) and eating is integrating the vitality of another living being (plant, animal) into yourself. There's only so much time you can sit alone in your head doing breath work before the body's needs override your mind. So the yogi ideal is an impractical goal for the everyday person with a family to sustain.
Besides that, I think the vortex math takes a nice angle towards the fundamental flow of energy.

>>16210642
:^)
Having boobs is a joy you'll never know
Also pregnancy is a trip, feeling a tiny ninja rolling over inside of you. Plus childbirth is gnarly. Never doing that again. I can say an umbilical cord was nothing like I expected it to look like, it's so spiralled. And the placenta is bigger than I expected. It's so weird we just grow an extra throw-away organ along with the kid. Is that woman enough?

>>16210170
14

Anonymous No. 16211169

>>16199123
Mathematical yin and yang. I love it

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Ren !jNeMenEGrU No. 16212182

>>16211169
Thanks Anon!

You might enjoy checking out what >>16199692 shared too about the Yijing being connected to the same root idea.

>>16210642
>>16211133
Not the last 3 of the patterns... I will finish those today or tomorrow. but here's a drawing I did right after my daughter was born.
One of the things I find fascinating about biology/reproduction is how it's just a different system of "as addition/multiplication" than what you see in standard mathematics. If I said 1+1 = 1~3 you'd be like "give me a break that is so wrong and so stupid" (and you'd be right)
But genetics be like
1 male (sperm) + 1 female (1-2 eggs) = 1~3 human(s)
In binary, I would equate the male to "1" (sperm) and the female to "0" for each egg (in the case of fraternal twins)
So it would instead be more like
M 1(1) + F 1(0) = 1 or 2

My neighbor's brother has triplets: 2 identical twins and 1 fraternal. Totally natural. In-vitro kids (ie. octomom) are a whole different level of intriguing.

And a recent tidbit I learned is that sperm is responsible for the placenta forming. Identical twins share a placenta, and fraternal twins have separate placentas (separate eggs/sperm combo)
And the thing is 1.5lb versus the baby which is between 6-10 lbs (around a quarter of their weight). It's because of the placenta that a child can have a different blood type from their mother, without being yeeted by mom's body. Blood types matching with organ donations is crucial, but not so with fetuses. The placenta attaches to the uterus and creates a closed/filtered system within the womb. Other nightmare shit: the bowels actually form "outside" the body in the umbilical cord too, and then we sort of grow around/into them. The stages of growth where you develop your cardiovascular, nervous, etc. happen before bones and skin, which start around week 2 (skin) and week 7 (bones). You also have eyes before eyelids. It is so weird and amazing. Tl;Dr we all used to be sea monkeys w/o eyelids.

Anonymous No. 16212196

>100+ posts of schizophrenic nonsense
>60% of the thread is OP replying to himself
Mods need to get off their fucking asses.

Ren !jNeMenEGrU No. 16212208

>>16212196
>100+ posts of people talking about concepts mainstream science ignores, and you find annoying
>100% of complaints are "schizo schizo schizo" without referring to anything specific
Trolls need to up their fucking game.

Anonymous No. 16212475

>>16212196
i dont know why people are so mad but these pictures are cool. is anything here even false

Anonymous No. 16213043

>>16212208
Anon, have you ever thought about using a different encoding scheme other than Numbers? So far you have digits, fingers (sometimes with knuckles or spaces), and a few other things. You notice 15's chart is some combination of 3 and 5, so could you imagine another arrangement if number encoding that also holds "something else"? Let's imagine we have two structures I and II, how could we call them mutual homologies? How could we write a plain language sentence describing how to transform one into the other and vice versa, but while maintaining that I and Ii both identify the same particular number? We also have complex numbers whose interpretations likewise allow us to hold "something else" in different ways depending on this or that complex or hypercomplex choice.

One day I will actually read through all of your stuff, but so far I appreciate the pastel colors :D

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Ren !jNeMenEGrU No. 16213849

>>16212475
Thanks anon! If I did get something wrong, please let me know. I want all the diagrams to be accurate. I know not everyone will agree with my philophy but that's ok. I think it would be boring if everyone had the same outlook on life. I appreciate skepticism, because it helps push us to make more solid ideas. Skeptics require us to fill in the gaps, or they'll blow it apart. I grew up in the church and found it appalling how doubt was considered sinful ("doubting Thomas" was always an insult). Rather, I believe doubt is healthy, and essential. I don't take it personally.

>>16213043
I'm glad you noticed that!
I have been calling it an "equivalent state", and hadn't considered it in the context of mutual homologies.
Since 1 is equivalent to 11 (3), 111 (7), 1111 (15)... So on and so forth.
It's like if you could just stretch out the 1 infinitely, and add on 1s forever. But each of those numbers, once a 0 is added, ie. 1 -> 01) loses that state, but now can either be related to 001, 0001, etc (what I think of as the "grain of sand" state) or it can be related to 0011 (0s and 1s being added in equal proportions both ways)

But then "1" is also equivalent to "..01", "..001", "..0001" Etc.
And "01" is equivalent to both ..1.. and ..0011..

It connects to how we form our understanding of things. For example, "the beach" is 1 thing, but it can be broken down into "sand" and "ocean". Both of which are also 1 thing, compromised of many tiny things (grains of sand and water molecules) (1 to ..001s). You don't have to break down the beach if you don't want to, but you can, infinitely. Or you can lump things together, infinitely, and the idea will always feel whole. I can say "Earth" and you will not be thinking about Beaches, but Earth includes Beaches in it's set/matrix. If I say "Solar System" now "Earth" and "Mars" are in the same set, but not the Milky Way.

Each idea is a nexus to a network of related ideas.

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Ren !jNeMenEGrU No. 16216208

>>16213849
To add onto that idea with something that doesn't maintain it's equivalent as strongly (since 0001 0011, 0111 are still the same line)
Something like 10 (2) when it expands can go...
2 (10) -> 4 (100).. (expanding 0) or 6 (110) (expanding 1) or maintain it's value at 2 (010)
At 4-bits it can expand both 1/0 and into 12 (1100), but then 4 (0100) starts to diverge into a separate branch. 1000 would equate be closer to (16) 10000 than (12) 1100 even though 2 (10) is the "root" to them all.
I guess it's like root numbers and branching numbers. 1 is the stem number. If you've ever looked closely at a plant's node there's the vegetative branch, the axillary bud and often a leaf.

Here's 13 (D), then I'll post 16 and we can move on to other fun.

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Ren !jNeMenEGrU No. 16216291

>>16216208

Here's 16. All done with these diagrams, though I might add some related images. Now that I've established how the patterns work I can do some other fun patterning with them without having to go label crazy.

8 >>16208882
4 >>16208878
2 >>16206340
0 >>16207218

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Ren !jNeMenEGrU No. 16218871

>>16203682
Here's v1 for a spiral diagram. Is this something along the lines of what you were thinking?

Anonymous No. 16218879

>>16199154
Post feet so that we can see if your toes are symmetrical as well please

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Ren !jNeMenEGrU No. 16219690

>>16218879
Now kiss them

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huxley No. 16220004

>>16218871
Your diagrams are very beautiful Ren. I would like to apply them to socionics and spiral dynamics ...
https://varlawend.blogspot.com/2023/06/encyclopedia-of-model-g-and-model.html

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Resolve !!EVGgx2S/Lta No. 16220179

>>16218871
No, not really. Here's a diagram of what I was thinking about.

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Ren !jNeMenEGrU No. 16220968

>>16220004
Thank you Huxley! You're welcome to use it as you see fit. As far as I'm concerned, they're in the public domain.

>>16220179
That's great! I love the hexagonal basis for it.


I don't have another diagram yet but have a ₿ collage I made with pennies

Ren !jNeMenEGrU No. 16220974

>>16220004
Also I really like how you're combining binary and Jungian dichotomies. If there were an "A" for "Ambivert" I'd be that. I have gotten both INTP and ENTP depending on the test.

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Ren !jNeMenEGrU No. 16221916

>>16220179
Here's a digital rendering for you

I feel like this growth model is similar to the swastika. Before the Nazis corrupted the symbol it was very representative. In buddhist cultures it is still used quite often to represent temples on maps. I like this 6 pronged model even more though

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Ren !jNeMenEGrU No. 16221918

>>16221916
Sorry I didn't realize it exported the image for ants. It won't let me delete it, yet again.
I'm always in for surprises when my daughter plays with my phone (she's 3)

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Ren !jNeMenEGrU No. 16222473

>>16220179
>>16221918
Also here's a base-7 tally numeral system I made for some of the races in my novel's world (the fae, ents, and other more plant-based species use it). Its not binary but seems related bc of the 6 of your Flosical model

>>16220004
I'm reading through your page and have a couple questions. I like the addition of the information dichotomies a lot. These ones make sense: Static/Dynamic, Irrational/Rational, Extroverted/Introverted, Detached/Involved, Implicit/Explicit,
But I don't understand including
Alpha/Gamma and Delta/Beta
How would those pertain to ones personality? Also I've primarily seen Alpha/Beta as being used as opposites, so what is your logic in using Alpha/Gamma and Delta/Beta instead? I tend to think of these as being a Leader/Follower type of polarity. I may have more questions as I continue reading. Thank you for the time you've taken to put this together