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Anonymous No. 16069012

What are some of the weirdest math problems?

One of my favorites is the "how many different ways can you draw N circles" problem which is an unsolved problem for N > 5. You are basically asking how many different ways can you arrange four circles for example. If the circles intersect is dome different way, or perhaps they are nested differently, that counts as a new way to draw them.

The numberphile video: https://www.youtube.com/watch?v=bRIL9kMJJSc

Anonymous No. 16069036

>>16069012
why does middle right suddenly have 5 circles

Anonymous No. 16069040

>>16069036
Dunno. That was just a random image I found from google search but it would belong to N=5.

Anonymous No. 16069329

What % of random chords across a circle go through the inner 1/4th?

[spoiler]It's about 74.68%. Although "mathematicians" will say "random chord" isn't a specific enough concept and the answer could be "50%", "33.3...%", "25%", or "60.9%". This is obviously bullshit.[/spoiler]

Anonymous No. 16069388

>>16069012
There are five circles in row 2 column 3. All the others contain only 4 circles.

Anonymous No. 16069389

>>16069329
lmao newfag, the answer is obviously 50% because they either go through or they don't

Anonymous No. 16069439

>>16069012
>problem which is an unsolved problem for N > 5
How, the answer is infinite for any N amount of circles

Anonymous No. 16069534

>>16069439
There are infinitely many ways to draw 0 circles?

Anonymous No. 16069694

>>16069534
not him, but nah, just one

Anonymous No. 16069704

>>16069534
False logic, you can't draw 0 circles

Anonymous No. 16071068

>>16069329
¼ radius or area? either case though seems easily solvable.

Anonymous No. 16071072

>>16071068
https://en.wikipedia.org/wiki/Bertrand_paradox_(probability)

Anonymous No. 16071075

>>16069704
>how many circles did you draw today, sweetie?

Anonymous No. 16071086

>>16071072
oh
the random distribution was not well defined so we cannot arrive at an answer that is well defined? color me surprised