A new fun little benchmark: A 10x10x10 grid of cubes: union them all into one solid block, then difference them all back out again. 1999 iterated ops whose correct result is... nothing (the empty set).

This Minecraft-esque case is relatively hard because the intermediate results are completely solid but not necessarily manifold (depending on your definition of choice).

#CAD #ComputationalGeometry #3D #geometry #GeometryProcessing

https://solidean.com/blog/2026/iterated-cube-grid-benchmark/

27 pieces.

I made it by from boromean rings at each corner, and then added the middle pieces. It still kind of works the same way, if you remove any one colour the other two are disconnected.

#geometry #mathart #mathsart #knots #3D #art

It's very satisfying to make a physical thing of beauty, especially when it's also math:
https://nedbatchelder.com/blog/202606/dodecahedron_with_stars
#math #geometry
Dodecahedron with stars

A Platonic dodecahedron decorated with an Islamic pattern.

Ned Batchelder