Projections of the Higman-Sims graph from the Leech lattice (new version) @davidamadore

Uploaded October 2018 | Updated September 2026, 3 weeks ago

This is a higher resolution version of youtube.com/watch?v=neUd794Gbg0 (the two are not frame-for-frame identical because I lost the exact parameters used in constructing the old video). Sadly, YouTube's aggressive compression makes the quality quite poor anyway.

An even better version is the animated JavaScript page: madore.org/~david/math/higman-sims-graph.html (note that source code is readable for those who want to know who it's done).

Also see on Wikimedia commons: commons.wikimedia.org/wiki/Category:Higman-Sims_Graph

Projections of the Higman-Sims graph from the Leech lattice (new version)

Projections of the Higman-Sims graph from the Leech lattice

Cubic surface: an A5 singularity (simple rotation)

Evolution of Julia sets as parameter dives into crevice with argument 9/31

Visiting a Kerr black hole (old version / front view)

Cubic surface: deformation of an A5 singularity (as such)

Evolution of Julia sets as parameter circles around −¾

Random waves on a flat torus (triangular lattice)