Acronym squattip
Name square tiling prism
 
 ©
Confer
uniform relative:
chon  
External
links
wikipedia   polytopewiki

This euclidean honeycomb uses squat (for cells) in the sense of an infinite horohedron.

The infinite stack of this slab, then blending out those horohedra, would result in chon.


Incidence matrix according to Dynkin symbol

x x4o4o   (N → ∞)

. . . . | 2N  1  4 |  4  4 | 4 1
--------+----+------+-------+----
x . . . |  2 | N  * |  4  0 | 4 0
. x . . |  2 | * 4N |  1  2 | 2 1
--------+----+------+-------+----
x x . . |  4 | 2  2 | 2N  * | 2 0
. x4o . |  4 | 0  4 |  * 2N | 1 1
--------+----+------+-------+----
x x4o .   8 | 4  8 |  4  2 | N *
. x4o4o   N | 0 2N |  0  N | * 2

snubbed forms: s2s4o4o

x o4x4o   (N → ∞)

. . . . | 4N |  1  4 |  4  2  2 | 2 2 1
--------+----+-------+----------+------
x . . . |  2 | 2N  * |  4  0  0 | 2 2 0
. . x . |  2 |  * 8N |  1  1  1 | 1 1 1
--------+----+-------+----------+------
x . x . |  4 |  2  2 | 4N  *  * | 1 1 0
. o4x . |  4 |  0  4 |  * 2N  * | 1 0 1
. . x4o |  4 |  0  4 |  *  * 2N | 0 1 1
--------+----+-------+----------+------
x o4x . |  8 |  4  8 |  4  2  0 | N * *
x . x4o |  8 |  4  8 |  4  0  2 | * N *
. o4x4o | 2N |  0 4N |  0  N  N | * * 2

x x4o4x   (N → ∞)

. . . . | 8N |  1  2  2 |  2  2  1  2  1
--------+----+----------+---------------
x . . . |  2 | 4N  *  * |  2  2  0  0  0
. x . . |  2 |  * 8N  * |  1  0  1  1  0
. . . x |  2 |  *  * 8N |  0  1  0  1  1
--------+----+----------+---------------
x x . . |  4 |  2  2  0 | 4N  *  *  *  *
x . . x |  4 |  2  0  2 |  * 4N  *  *  *
. x4o . |  4 |  0  4  0 |  *  * 2N  *  *
. x . x |  4 |  0  2  2 |  *  *  * 4N  *
. . o4x |  4 |  0  0  4 |  *  *  *  * 2N

© 2004-2024
top of page