Posted 9 years ago2015-02-24 23:00:08 UTCPost #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 23:43:30 UTCPost #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.
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.
Posted 9 years ago2015-02-25 04:40:08 UTCPost #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.