Acronym	squatap
Name	square tiling antiprism
	©
Vertex figure	©
Confer	uniform relative: octet   general polytopal classes: scaliform
External links

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 octet.

Incidence matrix according to Dynkin symbol

s2s4o4o   (N → ∞)

demi( . . . . ) | 2N |  4  4 | 12  4 |  4 1  5
----------------+----+-------+-------+--------
      s2s . .   |  2 | 4N  * |  4  0 |  2 0  2
      . s4o .   |  2 |  * 4N |  2  2 |  1 1  2
----------------+----+-------+-------+--------
sefa( s2s4o . ) |  3 |  2  1 | 8N  * |  1 0  1
sefa( . s4o4o ) |  4 |  0  4 |  * 2N |  0 1  1
----------------+----+-------+-------+--------
      s2s4o .   ♦  4 |  4  2 |  4  0 | 2N *  *
      . s4o4o   ♦  N |  0 2N |  0  N |  * 2  *
sefa( s2s4o4o ) ♦  5 |  4  4 |  4  1 |  * * 2N

starting figure: x x4o4o

xo4oo4ox&#x   (N → ∞) → height = 1/sqrt(2) = 0.707107

o.4o.4o.    | N * |  4  4  0 | 4  8  4 0 | 1 4  4 1 0
.o4.o4.o    | * N |  0  4  4 | 0  4  8 4 | 0 1  4 4 1
------------+-----+----------+-----------+-----------
x. .. ..    | 2 0 | 2N  *  * | 2  2  0 0 | 1 2  1 0 0
oo4oo4oo&#x | 1 1 |  * 4N  * | 0  2  2 0 | 0 1  2 1 0
.. .. .x    | 0 2 |  *  * 2N | 0  0  2 2 | 0 0  1 2 1
------------+-----+----------+-----------+-----------
x.4o. ..    | 4 0 |  4  0  0 | N  *  * * | 1 1  0 0 0
xo .. ..&#x | 2 1 |  1  2  0 | * 4N  * * | 0 1  1 0 0
.. .. ox&#x | 1 2 |  0  2  1 | *  * 4N * | 0 0  1 1 0
.. .o4.x    | 0 4 |  0  0  4 | *  *  * N | 0 0  0 1 1
------------+-----+----------+-----------+-----------
x.4o.4o.    ♦ N 0 | 2N  0  0 | N  0  0 0 | 1 *  * * *
xo4oo ..&#x ♦ 4 1 |  4  4  0 | 1  4  0 0 | * N  * * *
xo .. ox&#x ♦ 2 2 |  1  4  1 | 0  2  2 0 | * * 2N * *
.. oo4ox&#x ♦ 1 4 |  0  4  4 | 0  0  4 1 | * *  * N *
.o4.o4.x    ♦ 0 N |  0  0 2N | 0  0  0 N | * *  * * 1

or
o.4o.4o.    & | 2N |  4  4 |  4 12 | 1  5  4
--------------+----+-------+-------+--------
x. .. ..    & |  2 | 4N  * |  2  2 | 1  2  1
oo4oo4oo&#x   |  2 |  * 4N |  0  4 | 0  2  2
--------------+----+-------+------+---------
x.4o. ..    & |  4 |  4  0 | 2N  * | 1  1  0
xo .. ..&#x & |  3 |  1  2 |  * 8N | 0  1  1
--------------+----+-------+-------+--------
x.4o.4o.    & ♦  N | 2N  0 |  N  0 | 2  *  *
xo4oo ..&#x & ♦  5 |  4  4 |  1  4 | * 2N  *
xo .. ox&#x   ♦  4 |  2  4 |  0  4 | *  * 2N