Friday, December 5, 2014

Pop goes the voxel

A collapsible voxel: the triangles have an altitude/base ratio of 0.55.

The same voxel reassembled with its pyramids "pushed" inward.

The voxel partially collapsed.

The voxel fully collapsed.
A collapsible voxel like this can be woven using weavers that are just slightly crooked.

1 comment:

James Mallos said...

In the popped-out configuration this shape is essentially a tetrakis hexahedron. The triangles of a tetrakis hexahedron have altitude/base = sqrt(5)/4 = 0.559....