New geometric shape introduced to the math world!


#1

On July 27th, researchers at the University of Seville published an article describing a new geometric solid: The Scutoid!

It’s essentially a prism with n sides on one cap, and n + 1 on the other, with one Y-shaped edge to connect the extra vertex. It occurs very frequently in living organisms’ cell structure, but has gone greatly unnoticed until now. Here’s a quick article about it.

I guess we gotta start working on a new THREE.Geometry class! :laughing:


#2

Given that the scutoid’s main purpose is as a tiling shape for organic membranes, we’ve got our work cut out for us! I’ve been trying to figure out a method for organic 3d tiles that wasn’t purely geometric for a long time now.


#3

Looks like you’re in luck! Although scutoids look like a very complicated way to do organic 3d tiling, given that you’ll have to calculate a vertex and concave surfaces that are hidden by the walls of other cells anyway.

Have you considered just mimicking soap bubbles? They’re pretty organic-looking with that 3D voronoi effect: soap


#4

3d voronoi is an option but the distribution of cells is completely random, which might not be ideal. Geometrical solutions are more flexible and you can “grow” new layers which is really nice. Actual geometry is less of a problem, probably. Scutoids are actually a lot simpler than some of the alternating polygons I was thinking of, because each instance topographically identical! Very cool.

I wonder if bubbles turn into scutoids at all. Cell membranes are chemically very similar to bubbles, from an evolutionary stand point.