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๐Ÿงต Rounded polygons

Anonymous No. 16282016

I'm trying to produce an algorithm that, given the width and height of a regular polygon with rounded corners, spits out the corner radius, along with what the width and height would be if the corner radius was zero. Right now the case for odd-gons does not work.

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Anonymous No. 16282018

>>16282016

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Anonymous No. 16282019

>>16282016
โ“โ“

Anonymous No. 16282020

>>16282016
โ“โ“โ“

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Anonymous No. 16282022

>>16282016
>>16282020
Woops

Anonymous No. 16282031

>>16282016
learn to use this ffs
https://en.wikipedia.org/wiki/GeoGebra

Anonymous No. 16282602

>>16282016
How have you defined bending radius? There are many different circular bends. You can imagine it if the radius if from a large circle, the rounding gets more shallow.
Then there would be elliptical bending as well.
I would start with a case where the sides are tangent to the radial circle at the start of the bend.

Anonymous No. 16282632

>>16282602
The corner curves are circular arcs and tangent to the sides.

Anonymous No. 16282641

>>16282016
Isn't it just an inversion of the interior angle times the scale of the shape?

Anonymous No. 16282871

>>16282016
https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS