Acronym pextoe
Name partially (mono-)expanded truncated octahedron
 
Circumradius ...
Vertex figure [4,6,6], [h,6,6], [4,6,H]
Lace city
in approx. ASCII-art
  o q  q o  
o   Q  Q   o	(Q=2q)
q Q      Q q
o   Q  Q   o
  o q  q o  
  x w x  
x   W   x	(W=u+w)
w W   W w
x   W   x
  x w x  
Dihedral angles
(at margins)
  • between equatorial-{4} and {6}:   arccos(-sqrt(2/3)) = 144.735610°
  • between equatorial-{4} and {(h,H,H)2}:   135°
  • between top-{4} and {6}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {(h,H,H)2} and {6}:   arccos(-1/sqrt(3)) = 125.264390°
  • between {6} and {6}:   arccos(-1/3) = 109.471221°
Confer
uniform relative:
toe  
general polytopal classes:
partial Stott expansions  

The non-regular hexagons {(h,H,H)2} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.


Incidence matrix according to Dynkin symbol

xuxxux4ooqqoo&#xt   → all but medial heights = 1/sqrt(2) = 0.707107
                      medial height  = 1
({4} || pseudo u-{4} || pseudo (x,q)-{8} || pseudo (x,q)-{8} || pseudo u-{4} || {4})

o.....4o.....     | 4 * * * * * | 2 1 0 0 0 0 0 0 0 | 1 2 0 0 0 0  [4,6,6]
.o....4.o....     | * 4 * * * * | 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0 0  [h,6,6]
..o...4..o...     | * * 8 * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 0  [4,6,H]
...o..4...o..     | * * * 8 * * | 0 0 0 0 1 1 1 0 0 | 0 0 1 1 1 0  [4,6,H]
....o.4....o.     | * * * * 4 * | 0 0 0 0 0 0 2 1 0 | 0 0 1 0 2 0  [h,6,6]
.....o4.....o     | * * * * * 4 | 0 0 0 0 0 0 0 1 2 | 0 0 0 0 2 1  [4,6,6]
------------------+-------------+-------------------+------------
x..... ......     | 2 0 0 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0
oo....4oo....&#x  | 1 1 0 0 0 0 | * 4 * * * * * * * | 0 2 0 0 0 0
.oo...4.oo...&#x  | 0 1 1 0 0 0 | * * 8 * * * * * * | 0 1 1 0 0 0
..x... ......     | 0 0 2 0 0 0 | * * * 4 * * * * * | 0 1 0 1 0 0
..oo..4..oo..&#x  | 0 0 1 1 0 0 | * * * * 8 * * * * | 0 0 1 1 0 0
...x.. ......     | 0 0 0 2 0 0 | * * * * * 4 * * * | 0 0 0 1 1 0
...oo.4...oo.&#x  | 0 0 0 1 1 0 | * * * * * * 8 * * | 0 0 1 0 1 0
....oo4....oo&#x  | 0 0 0 0 1 1 | * * * * * * * 4 * | 0 0 0 0 2 0
.....x ......     | 0 0 0 0 0 2 | * * * * * * * * 4 | 0 0 0 0 1 1
------------------+-------------+-------------------+------------
x.....4o.....     | 4 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * *
xux... ......&#xt | 2 2 2 0 0 0 | 1 2 2 1 0 0 0 0 0 | * 4 * * * *  {6}
...... .oqqo.&#xt | 0 1 2 2 1 0 | 0 0 2 0 2 0 2 0 0 | * * 4 * * *  {(h,H,H)2}
..xx.. ......&#x  | 0 0 2 2 0 0 | 0 0 0 1 2 1 0 0 0 | * * * 4 * *
...xux ......&#xt | 0 0 0 2 2 2 | 0 0 0 0 0 1 2 2 1 | * * * * 4 *  {6}
.....x4.....o     | 0 0 0 0 0 4 | 0 0 0 0 0 0 0 0 4 | * * * * * 1
or
o.....4o.....     & | 8 *  * | 2 1  0 0 0 | 1 2 0 0  [4,6,6]
.o....4.o....     & | * 8  * | 0 1  2 0 0 | 0 2 1 0  [h,6,6]
..o...4..o...     & | * * 16 | 0 0  1 1 1 | 0 1 1 1  [4,6,H]
--------------------+--------+------------+--------
x..... ......     & | 2 0  0 | 8 *  * * * | 1 1 0 0
oo....4oo....&#x  & | 1 1  0 | * 8  * * * | 0 2 0 0
.oo...4.oo...&#x  & | 0 1  1 | * * 16 * * | 0 1 1 0
..x... ......     & | 0 0  2 | * *  * 8 * | 0 1 0 1
..oo..4..oo..&#x    | 0 0  2 | * *  * * 8 | 0 0 1 1
--------------------+--------+------------+--------
x.....4o.....     & | 4 0  0 | 4 0  0 0 0 | 2 * * *
xux... ......&#xt & | 2 2  2 | 1 2  2 1 0 | * 8 * *  {6}
...... .oqqo.&#xt   | 0 2  4 | 0 0  4 0 2 | * * 4 *  {(h,H,H)2}
..xx.. ......&#x    | 0 0  4 | 0 0  0 2 2 | * * * 4

xux4ooq Xwx&#zx   → heights = 0, where X=w+q = 3.828427

o..4o.. o..     | 8 *  * | 2 1  0 0 0 | 1 2 0 0  [4,6,6]
.o.4.o. .o.     | * 8  * | 0 1  2 0 0 | 0 2 1 0  [h,6,6]
..o4..o ..o     | * * 16 | 0 0  1 1 1 | 0 1 1 1  [4,6,H]
----------------+--------+------------+--------
x.. ... ...     | 2 0  0 | 8 *  * * * | 1 1 0 0
oo.4oo. oo.&#x  | 1 1  0 | * 8  * * * | 0 2 0 0
.oo4.oo .oo&#x  | 0 1  1 | * * 16 * * | 0 1 1 0
..x ... ...     | 0 0  2 | * *  * 8 * | 0 1 0 1
... ... ..x     | 0 0  2 | * *  * * 8 | 0 0 1 1
----------------+--------+------------+--------
x..4o.. ...     | 4 0  0 | 4 0  0 0 0 | 2 * * *
xux ... ...&#xt | 2 2  2 | 1 2  2 1 0 | * 8 * *  {6}
... .oq .wx&#zx | 0 2  4 | 0 0  4 0 2 | * * 4 *  {(h,H,H)2}
..x ... ..x     | 0 0  4 | 0 0  0 2 2 | * * * 4

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