Acronym	cubpy, K-4.26
Name	cubical pyramid, vertex-pyramid of ico
|,>,O device	line prism prism pyramid = |||>
	©
Segmentochoron display
Circumradius	1
Volume	1/8 = 0.125
Dihedral angles	at {3} between squippy and squippy:   120° at {4} between cube and squippy:   45°
Face vector	9, 20, 18, 7
Confer	segmentochora: pt || n-p related CRFs: ico   cytau tes   cute   ecubedpy   general polytopal classes: segmentochora   fundamental lace prisms   lace simplices
External links

Incidence matrix according to Dynkin symbol

oo3oo4ox&#x   → height = 1/2
(pt || cube)

o.3o.4o.    | 1 * ♦ 8  0 | 12 0 | 6 0
.o3.o4.o    | * 8 | 1  3 |  3 3 | 3 1
------------+-----+------+------+----
oo3oo4oo&#x | 1 1 | 8  * |  3 0 | 3 0
.. .. .x    | 0 2 | * 12 |  1 2 | 2 1
------------+-----+------+------+----
.. .. ox&#x | 1 2 | 2  1 | 12 * | 2 0
.. .o4.x    | 0 4 | 0  4 |  * 6 | 1 1
------------+-----+------+------+----
.. oo4ox&#x ♦ 1 4 | 4  4 |  4 1 | 6 *
.o3.o4.x    ♦ 0 8 | 0 12 |  0 6 | * 1

ox ox4oo&#x   → height = 1/2
(pt || cube)

o. o.4o.    | 1 * ♦ 8 0 0 | 4 8 0 0 | 4 2 0
.o .o4.o    | * 8 | 1 1 2 | 1 2 2 1 | 2 1 1
------------+-----+-------+---------+------
oo oo4oo&#x | 1 1 | 8 * * | 1 2 0 0 | 2 1 0
.x .. ..    | 0 2 | * 4 * | 1 0 2 0 | 2 0 1
.. .x ..    | 0 2 | * * 8 | 0 1 1 1 | 1 1 1
------------+-----+-------+---------+------
ox .. ..&#x | 1 2 | 2 1 0 | 4 * * * | 2 0 0
.. ox ..&#x | 1 2 | 2 0 1 | * 8 * * | 1 1 0
.x .x ..    | 0 4 | 0 2 2 | * * 4 * | 1 0 1
.. .x4.o    | 0 4 | 0 0 4 | * * * 2 | 0 1 1
------------+-----+-------+---------+------
ox ox ..&#x ♦ 1 4 | 4 2 2 | 2 2 1 0 | 4 * *
.. ox4oo&#x ♦ 1 4 | 4 0 4 | 0 4 0 1 | * 2 *
.x .x4.o    ♦ 0 8 | 0 4 8 | 0 0 4 2 | * * 1

oxx4ooo&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
               height(2,3) = 1

o..4o..    | 1 * * ♦ 4 4 0 0 0 | 4 4 4 0 0 0 | 1 1 4 0
.o.4.o.    | * 4 * | 1 0 2 1 0 | 2 0 1 1 2 0 | 1 0 2 1
..o4..o    | * * 4 | 0 1 0 1 2 | 0 2 1 0 2 1 | 0 1 2 1
-----------+-------+-----------+-------------+--------
oo.4oo.&#x | 1 1 0 | 4 * * * * | 2 0 1 0 0 0 | 1 0 2 0
o.o4o.o&#x | 1 0 1 | * 4 * * * | 0 2 1 0 0 0 | 0 1 2 0
.x. ...    | 0 2 0 | * * 4 * * | 1 0 0 1 1 0 | 1 0 1 1
.oo4.oo&#x | 0 1 1 | * * * 4 * | 0 0 1 0 2 0 | 0 0 2 1
..x ...    | 0 0 2 | * * * * 4 | 0 1 0 0 1 1 | 0 1 1 1
-----------+-------+-----------+-------------+--------
ox. ...&#x | 1 2 0 | 2 0 1 0 0 | 4 * * * * * | 1 0 1 0
o.x ...&#x | 1 0 2 | 0 2 0 0 1 | * 4 * * * * | 0 1 1 0
ooo4ooo&#x | 1 1 1 | 1 1 0 1 0 | * * 4 * * * | 0 0 2 0
.x.4.o.    | 0 4 0 | 0 0 4 0 0 | * * * 1 * * | 1 0 0 1
.xx ...&#x | 0 2 2 | 0 0 1 2 1 | * * * * 4 * | 0 0 1 1
..x4..o    | 0 0 4 | 0 0 0 0 4 | * * * * * 1 | 0 1 0 1
-----------+-------+-----------+-------------+--------
ox.4oo.&#x ♦ 1 4 0 | 4 0 4 0 0 | 4 0 0 1 0 0 | 1 * * *
o.x4o.o&#x ♦ 1 0 4 | 0 4 0 0 4 | 0 4 0 0 0 1 | * 1 * *
oxx ...&#x ♦ 1 2 2 | 2 2 1 2 1 | 1 1 2 0 1 0 | * * 4 *
.xx4.oo&#x ♦ 0 4 4 | 0 0 4 4 4 | 0 0 0 1 4 1 | * * * 1

or
o..4o..      | 1 * ♦ 8 0 0 | 8 4 0 0 | 2 4 0
.o.4.o.    & | * 8 | 1 2 1 | 2 1 1 2 | 1 2 1
-------------+-----+-------+---------+------
oo.4oo.&#x & | 1 1 | 8 * * | 2 1 0 0 | 1 2 0
.x. ...    & | 0 2 | * 8 * | 1 0 1 1 | 1 1 1
.oo4.oo&#x   | 0 2 | * * 4 | 0 1 0 2 | 0 2 1
-------------+-----+-------+---------+------
ox. ...&#x & | 1 2 | 2 1 0 | 8 * * * | 1 1 0
ooo4ooo&#x   | 1 2 | 2 0 1 | * 4 * * | 0 2 0
.x.4.o.    & | 0 4 | 0 4 0 | * * 2 * | 1 0 1
.xx ...&#x   | 0 4 | 0 2 2 | * * * 4 | 0 1 1
-------------+-----+-------+---------+------
ox.4oo.&#x & ♦ 1 4 | 4 4 0 | 4 0 1 0 | 2 * *
oxx ...&#x   ♦ 1 4 | 4 2 2 | 2 2 0 1 | * 4 *
.xx4.oo&#x   ♦ 0 8 | 0 8 4 | 0 0 2 4 | * * 1

oxx oxx&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
               height(2,3) = 1

o.. o..    | 1 * * ♦ 4 4 0 0 0 0 0 | 2 2 2 2 4 0 0 0 0 | 1 1 2 2 0
.o. .o.    | * 4 * | 1 0 1 1 1 0 0 | 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1
..o ..o    | * * 4 | 0 1 0 0 1 1 1 | 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
-----------+-------+---------------+-------------------+----------
oo. oo.&#x | 1 1 0 | 4 * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
o.o o.o&#x | 1 0 1 | * 4 * * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.x. ...    | 0 2 0 | * * 2 * * * * | 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x.    | 0 2 0 | * * * 2 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1
.oo .oo&#x | 0 1 1 | * * * * 4 * * | 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ...    | 0 0 2 | * * * * * 2 * | 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
... ..x    | 0 0 2 | * * * * * * 2 | 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
-----------+-------+---------------+-------------------+----------
ox. ...&#x | 1 2 0 | 2 0 1 0 0 0 0 | 2 * * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 2 0 0 1 0 0 0 | * 2 * * * * * * * | 1 0 0 1 0
o.x ...&#x | 1 0 2 | 0 2 0 0 0 1 0 | * * 2 * * * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0 2 0 0 0 0 1 | * * * 2 * * * * * | 0 1 0 1 0
ooo ooo&#x | 1 1 1 | 1 1 0 0 1 0 0 | * * * * 4 * * * * | 0 0 1 1 0
.x. .x.    | 0 4 0 | 0 0 2 2 0 0 0 | * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * * 2 * * | 0 0 1 0 1
... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 2 * | 0 0 0 1 1
..x ..x    | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+---------------+-------------------+----------
ox. ox.&#x ♦ 1 4 0 | 4 0 2 2 0 0 0 | 2 2 0 0 0 1 0 0 0 | 1 * * * *
o.x o.x&#x ♦ 1 0 4 | 0 4 0 0 0 2 2 | 0 0 2 2 0 0 0 0 1 | * 1 * * *
oxx ...&#x ♦ 1 2 2 | 2 2 1 0 2 1 0 | 1 0 1 0 2 0 1 0 0 | * * 2 * *
... oxx&#x ♦ 1 2 2 | 2 2 0 1 2 0 1 | 0 1 0 1 2 0 0 1 0 | * * * 2 *
.xx .xx&#x ♦ 0 4 4 | 0 0 2 2 4 2 2 | 0 0 0 0 0 1 2 2 1 | * * * * 1

or
o.. o..      | 1 * ♦ 8 0 0 | 8 4 0 0 | 2 4 0
.o. .o.    & | * 8 | 1 2 1 | 2 1 1 2 | 1 2 1
-------------+-----+-------+---------+------
oo. oo.&#x & | 1 1 | 8 * * | 2 1 0 0 | 1 2 0
.x. ...    & | 0 2 | * 8 * | 1 0 1 1 | 1 1 1
.oo .oo&#x   | 0 2 | * * 4 | 0 1 0 2 | 0 2 1
-------------+-----+-------+---------+------
ox. ...&#x & | 1 2 | 2 1 0 | 8 * * * | 1 1 0
ooo ooo&#x   | 1 2 | 2 0 1 | * 4 * * | 0 2 0
.x. .x.    & | 0 4 | 0 4 0 | * * 2 * | 1 0 1
.xx ...&#x & | 0 4 | 0 2 2 | * * * 4 | 0 1 1
-------------+-----+-------+---------+------
ox. ox.&#x & ♦ 1 4 | 4 4 0 | 4 0 1 0 | 2 * *
oxx ...&#x & ♦ 1 4 | 4 2 2 | 2 2 0 1 | * 4 *
.xx .xx&#x   ♦ 0 8 | 0 8 4 | 0 0 2 4 | * * 1

{4} || squippy   → height = 1/sqrt(2) = 0.707107

  4 * * | 2 1 1 0 0 | 1 2 2 1 0 0 | 1 1 2 0
  * 1 * ♦ 0 4 0 4 0 | 0 4 0 4 4 0 | 1 0 4 1
  * * 4 | 0 0 1 1 2 | 0 0 2 1 2 1 | 0 1 2 1
--------+-----------+-------------+--------
  2 0 0 | 4 * * * * | 1 1 1 0 0 0 | 1 1 1 0
  1 1 0 | * 4 * * * | 0 2 0 1 0 0 | 1 0 2 0
  1 0 1 | * * 4 * * | 0 0 2 1 0 0 | 0 1 2 0
  0 1 1 | * * * 4 * | 0 0 0 1 2 0 | 0 0 2 1
  0 0 2 | * * * * 4 | 0 0 1 0 1 1 | 0 1 1 1
--------+-----------+-------------+--------
  4 0 0 | 4 0 0 0 0 | 1 * * * * * | 1 1 0 0
  2 1 0 | 1 2 0 0 0 | * 4 * * * * | 1 0 1 0
  2 0 2 | 1 0 2 0 1 | * * 4 * * * | 0 1 1 0
  1 1 1 | 0 1 1 1 0 | * * * 4 * * | 0 0 2 0
  0 1 2 | 0 0 0 2 1 | * * * * 4 * | 0 0 1 1
  0 0 4 | 0 0 0 0 4 | * * * * * 1 | 0 1 0 1
--------+-----------+-------------+--------
♦ 4 1 0 | 4 4 0 0 0 | 1 4 0 0 0 0 | 1 * * *
♦ 4 0 4 | 4 0 4 0 4 | 1 0 4 0 0 1 | * 1 * *
♦ 2 1 2 | 1 2 2 2 1 | 0 1 1 2 1 0 | * * 4 *
♦ 0 1 4 | 0 0 0 4 4 | 0 0 0 0 4 1 | * * * 1