Episode 1500
8-cubic honeycomb
Sat, 2021-Jun-12 00:48 UTC
Length - 1:51
Direct Link
Welcome to random Wiki of the Day where we read the summary of a random Wikipedia page every day.
The random article for Saturday, 12 June 2021 is 8-cubic honeycomb.
The 8-cubic honeycomb or octeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 8-space.
It is analogous to the square tiling of the plane and to the cubic honeycomb of 3-space, and the tesseractic honeycomb of 4-space.
There are many different Wythoff constructions of this honeycomb. The most symmetric form is regular, with Schläfli symbol {4,36,4}. Another form has two alternating hypercube facets (like a checkerboard) with Schläfli symbol {4,35,31,1}. The lowest symmetry Wythoff construction has 256 types of facets around each vertex and a prismatic product Schläfli symbol {∞}8.
This recording reflects the Wikipedia text as of 00:48 UTC on Saturday, 12 June 2021.
For the full current version of the article, see 8-cubic honeycomb on Wikipedia.
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This has been Kimberly Neural. Thank you for listening to random Wiki of the Day.
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