Impossible Polygons Created 9 years ago2015-02-24 22:41:27 UTC by zeeba-G zeeba-G

Created 9 years ago2015-02-24 22:41:27 UTC by zeeba-G zeeba-G

Posted 9 years ago2015-02-24 23:00:08 UTC Post #324392
Trying to imagine them hurts!

Does anyone know what the impossible ;) polygon name is for a concave triangle? Imagine every line curving inward at the same radius. Look at my avatar for example, imagine the space between the three circles.

Sorry for starting such a weird thread but I thought it was pretty interesting and would like to know the name of this impossible polygon.
Posted 9 years ago2015-02-24 23:07:33 UTC Post #324395
Posted 9 years ago2015-02-24 23:43:30 UTC Post #324396
Slightly related, if the sides curve the other way so each side is an arc with the centre at the opposite vertex, it's called a reuleaux triangle.
User posted image
It's an example of a cool type of shape called a curve of constant width.
They're interesting because no matter which way you measure it, it's always the same width like a circle. So solids based on it could be used as wheels or rollers.
Alabastor_Twob Alabastor_Twobformerly TJB
Posted 9 years ago2015-02-25 00:46:22 UTC Post #324397
For some reason that shape has always bothered me. I'm've don't know why.
Jessie JessieTrans Rights <3
Posted 9 years ago2015-02-25 04:40:08 UTC Post #324398
Actually that shape is the basis of the Wankel engine.

Speaking of impossible geometry, I remember a documentary I saw some time ago... gonna try to find it and post it here.
[Edit]Taken down due to copyright infringement. Oh well.
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