pabditoe

Acronym	pabditoe
Name	parabidiminished truncated octahedron
Circumradius	sqrt(5/2) = 1.581139
Lace city in approx. ASCII-art	o Q o (Q=2q) q Q Q q o Q o
Lace city in approx. ASCII-art	x u u w w u u x
Coordinates	(sqrt(2), 1/sqrt(2); 0) & all permutations within first 2 coords, all changes of sign (sqrt(2), 0; 1/sqrt(2)) & all permutations within first 2 coords, all changes of sign
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	between x4o and xu&#x: arccos[-1/sqrt(3)] = 125.264390° between u4o and xu&#x: arccos[-1/sqrt(3)] = 125.264390° between xu&#x and xu&#x: arccos(-1/3) = 109.471221°
Face vector	24, 36, 14
Confer	uniform relative: toe

Incidence matrix according to Dynkin symbol

oq qo4xu&#zx   → height = 0, where q pseudo

o. o.4o.     | 8 * | 1  2 0 | 1 2 0
.o .o4.o     | * 8 | 0  2 2 | 1 2 1
-------------+-----+--------+------
.. .. x.     | 2 0 | 4  * * | 0 2 0  x
oo oo4oo&#x  | 1 1 | * 16 * | 1 1 0  x
.. .. .u     | 0 2 | *  * 8 | 0 1 1  u
-------------+-----+--------+------
oq qo ..&#zx | 2 2 | 0  4 0 | 4 * *
.. .. xu&#x  | 2 2 | 1  2 1 | * 8 *
.. .o4.u     | 0 4 | 0  0 4 | * * 2

uxu4oqo&#xt   → height = 1/sqrt(2) = 0.707107

o..4o..     | 4 * * | 2 2 0 0 0 | 1 2 1 0 0
.o.4.o.     | * 8 * | 0 1 1 1 0 | 0 1 1 1 0
..o4..o     | * * 4 | 0 0 0 2 2 | 0 0 1 2 1
------------+-------+-----------+----------
u.. ...     | 2 0 0 | 4 * * * * | 1 1 0 0 0  u
oo.4oo.&#x  | 1 1 0 | * 8 * * * | 0 1 1 0 0  x
.x. ...     | 0 2 0 | * * 4 * * | 0 1 0 1 0  x
.oo4.oo&#x  | 0 1 1 | * * * 8 * | 0 0 1 1 0  x
..u ...     | 0 0 2 | * * * * 4 | 0 0 0 1 1  u
------------+-------+-----------+----------
u..4o..     | 4 0 0 | 4 0 0 0 0 | 1 * * * *
ux. ...&#x  | 2 2 0 | 1 2 1 0 0 | * 4 * * *
... oqo&#xt | 1 2 1 | 0 2 0 2 0 | * * 4 * *
.xu ...&#x  | 0 2 2 | 0 0 1 2 1 | * * * 4 *
..u4..o     | 0 0 4 | 0 0 0 0 4 | * * * * 1

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