User talk:Tomruen/Convex uniform tetracomb

The list of figures i use is of my device. George Olshevsky quotes me as discovering two in the 143 convex tilings in four dimensions. 1 occurs in 1dt, 1-4 in 2dt, 1-6 in 3dt. This list arranges all of the prism-layers at the beginning. So 1 designates the square, cubic, tesseractic, etc. The 8 at #2 include hexagon-prisms, etc. Because we count the cubic at #1, it is removed from later contention. This is why 434 gives only 7, and 434 only 14.

1. The comb products on the horogon (square, cubic, tesseractic, etc)

In one dimension: 1

1. Ten non-comb tilings in 3d: 44 = 2, 36 = 6.
2. The snubs on 44 and 36
3. The laminate tiling LC1P

In two dimensions, 11

1. Wythoff Mirror edge on these groups 434 (7), 43A (4) and 3333: 1
2. Laminate tilings: LC2, LC2P, LB2, LA2P, LB2P

In 3 dimensions. 28

1. 55 products of #2 * #2.
2. Wythoff's Mirror edge on 3343 (28), 4334 (14), 433A (4), E33A (0), 33333: (7) = 53
3. The snub tiling s3433
4. The laminate tilings LB3, LC3, LA3P, LB3P, LC3P, LC1A2, LC1B2, LC1C2 = 8

In four dimensions, 145

This list consists of 145, not 143 that George gives. I am not shure which two he suppresses. --Wendy.krieger 10:42, 23 September 2007 (UTC)

Here's a plain list: User:Double sharp/List of convex uniform tilings, honeycombs, and tetracombs. Should be easier to tell which two are missing now. Double sharp (talk) 08:33, 24 July 2012 (UTC)