User talk:Tomruen/Uniform honeycombs Johnson

Tilings

I make there to be 28 tilings in E3 as well, but find Norman's names overly confusing.

   1.      The cubics, being comb powers of the horogon.
       1  The powers of the horogon are the cubics in all dimensions.
   2-11    10 further examples in 2d, which make comb products with the horogon.
       6 have symmetry [3,6]  where x3x6o = o3o6x
       1 has symmetry [4,4]  where x4o4o = o4x4o = x4o4x = '1'
       2 are snubs s3s6s and s4s4o
       1 laminate being LPC1.
   12-28   17 further examples in 3d.
       7 have the symmetry [4,3,4], where x4o3o4o and x4o3o4x is counted at '1'
       4 have the symmetry of [3,4,A], being x3*4*Ao, where * is freely o or x
       1 has the symmetry of [3,3,3,3;], being x3x3o3o3z
       5 are laminates, being LB2, LC2, LPA2, LPB2, LPC2.

Wendy.krieger (talk) 09:46, 6 July 2014 (UTC)