The Spacelander's Guide to 3D cross-sections of a 4D Menger sponge

Useful Links:

The surprising Menger Slice (good background on 3D Menger sponges and their slices):

https://www.simonsfoundation.org/2012...

The Spacelander's guide to 3D cross-sections of the 4D cube (a good warm up to the current problem):

   • The Spacelander's guide to 3D cross-s...  

Timecodes
0:00 - Intro.
3:44 - What's a 4D Menger sponge?
6:03 - Deal with the 4D hypercube first.
6:58 - Reducing to eight 3D problems.
10:44 - Our job.
13:09 - Example 1.
14:16 - Example 2.
15:06 - Example 3.
15:51 - Example 4.
17:04 - Example 5.
17:51 - Example 6.
18:34 - Example 7.
19:35 - My favorite section!
20:48 - Tetrahedral symmetry.
21:18 - Example 8.
22:20 - Central section.
22:59 - Final Example.
23:24 - Past the final section.
24:15 - Final journey through sections with music.