Regular and Uniform Honeycombs
There are four fundamental affine Coxeter groups that generate regular and uniform tessellations in 9-space:
| # | Coxeter group | Coxeter-Dynkin diagram | |
|---|---|---|---|
| 1 | ] | ||
| 2 | |||
| 3 | h |
||
| 4 | q |
||
Regular and uniform tessellations include:
- Regular 9-hypercubic honeycomb, with symbols {4,37,4},
- Uniform alternated 9-hypercubic honeycomb with symbols h{4,37,4},
Read more about this topic: Uniform 10-polytope
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“The sugar maple is remarkable for its clean ankle. The groves of these trees looked like vast forest sheds, their branches stopping short at a uniform height, four or five feet from the ground, like eaves, as if they had been trimmed by art, so that you could look under and through the whole grove with its leafy canopy, as under a tent whose curtain is raised.”
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