Acronym	icope
Name	icositetrachoron prism
Circumradius	sqrt(5)/2 = 1.118034
Coordinates	(1, 0, 0, 0; 1/2)               & all permutations in all but last coord., all changes of sign (1/2, 1/2, 1/2, 1/2; 1/2)   & all permutations in all but last coord., all changes of sign or just   (1/sqrt(2), 1/sqrt(2), 0, 0; 1/2)   & all permutations in all but last coord., all changes of sign
Volume	2
Face vector	48, 216, 288, 144, 26
Confer	related segmentotera: opeacope   trawp   general polytopal classes: Wythoffian polytera   segmentotera   lace simplices
External links

Incidence matrix according to Dynkin symbol

x x3o4o3o

. . . . . | 48 |  1   8 |  8  12 | 12  6 |  6 1
----------+----+--------+--------+-------+-----
x . . . . |  2 | 24   * ♦  8   0 | 12  0 |  6 0
. x . . . |  2 |  * 192 |  1   3 |  3  3 |  3 1
----------+----+--------+--------+-------+-----
x x . . . |  4 |  2   2 | 96   * |  3  0 |  3 0
. x3o . . |  3 |  0   3 |  * 192 |  1  2 |  2 1
----------+----+--------+--------+-------+-----
x x3o . . ♦  6 |  3   6 |  3   2 | 96  * |  2 0
. x3o4o . ♦  6 |  0  12 |  0   8 |  * 48 |  1 1
----------+----+--------+--------+-------+-----
x x3o4o . ♦ 12 |  6  24 | 12  16 |  8  2 | 24 *
. x3o4o3o ♦ 24 |  0  96 |  0  96 |  0 24 |  * 2

x o3x3o4o

. . . . . | 48 |  1   8 |  8  4   8 |  4  8  4  2 |  4 2 1
----------+----+--------+-----------+-------------+-------
x . . . . |  2 | 24   * ♦  8  0   0 |  4  8  0  0 |  4 2 0
. . x . . |  2 |  * 192 |  1  1   2 |  1  2  2  1 |  2 1 1
----------+----+--------+-----------+-------------+-------
x . x . . |  4 |  2   2 | 96  *   * |  1  2  0  0 |  2 1 0
. o3x . . |  3 |  0   3 |  * 64   * |  1  0  2  0 |  2 0 1
. . x3o . |  3 |  0   3 |  *  * 128 |  0  1  1  1 |  1 1 1
----------+----+--------+-----------+-------------+-------
x o3x . . ♦  6 |  3   6 |  3  2   0 | 32  *  *  * |  2 0 0
x . x3o . ♦  6 |  3   6 |  3  0   2 |  * 64  *  * |  1 1 0
. o3x3o . ♦  6 |  0  12 |  0  4   4 |  *  * 32  * |  1 0 1
. . x3o4o ♦  6 |  0  12 |  0  0   8 |  *  *  * 16 |  0 1 1
----------+----+--------+-----------+-------------+-------
x o3x3o . ♦ 12 |  6  24 | 12  8   8 |  4  4  2  0 | 16 * *
x . x3o4o ♦ 12 |  6  24 | 12  0  16 |  0  8  0  2 |  * 8 *
. o3x3o4o ♦ 24 |  0  96 |  0 32  64 |  0  0 16  8 |  * * 2

x o3x3o *c3o

. . . .    . | 48 |  1   8 |  8  4  4  4 |  4  4  4  2  2  2 | 2 2 2 1
-------------+----+--------+-------------+-------------------+--------
x . . .    . |  2 | 24   * ♦  8  0  0  0 |  4  4  4  0  0  0 | 2 2 2 0
. . x .    . |  2 |  * 192 |  1  1  1  1 |  1  1  1  1  1  1 | 1 1 1 1
-------------+----+--------+-------------+-------------------+--------
x . x .    . |  4 |  2   2 | 96  *  *  * |  1  1  1  0  0  0 | 1 1 1 0
. o3x .    . |  3 |  0   3 |  * 64  *  * |  1  0  0  1  1  0 | 1 1 0 1
. . x3o    . |  3 |  0   3 |  *  * 64  * |  0  1  0  1  0  1 | 1 0 1 1
. . x . *c3o |  3 |  0   3 |  *  *  * 64 |  0  0  1  0  1  1 | 0 1 1 1
-------------+----+--------+-------------+-------------------+--------
x o3x .    . ♦  6 |  3   6 |  3  2  0  0 | 32  *  *  *  *  * | 1 1 0 0
x . x3o    . ♦  6 |  3   6 |  3  0  2  0 |  * 32  *  *  *  * | 1 0 1 0
x . x . *c3o ♦  6 |  3   6 |  3  0  0  2 |  *  * 32  *  *  * | 0 1 1 0
. o3x3o    . ♦  6 |  0  12 |  0  4  4  0 |  *  *  * 16  *  * | 1 0 0 1
. o3x . *c3o ♦  6 |  0  12 |  0  4  0  4 |  *  *  *  * 16  * | 0 1 0 1
. . x3o *c3o ♦  6 |  0  12 |  0  0  4  4 |  *  *  *  *  * 16 | 0 0 1 1
-------------+----+--------+-------------+-------------------+--------
x o3x3o    . ♦ 12 |  6  24 | 12  8  8  0 |  4  4  0  2  0  0 | 8 * * *
x o3x . *c3o ♦ 12 |  6  24 | 12  8  0  8 |  4  0  4  0  2  0 | * 8 * *
x . x3o *c3o ♦ 12 |  6  24 | 12  0  8  8 |  0  4  4  0  0  2 | * * 8 *
. o3x3o *c3o ♦ 24 |  0  96 |  0 32 32 32 |  0  0  0  8  8  8 | * * * 2

xx3oo4oo3oo&#x   → height = 1
(ico || ico)

o.3o.4o.3o.    | 24  * |  8  1  0 | 12  8  0 |  6 12  0 | 1  6 0
.o3.o4.o3.o    |  * 24 |  0  1  8 |  0  8 12 |  0 12  6 | 0  6 1
---------------+-------+----------+----------+----------+-------
x. .. .. ..    |  2  0 | 96  *  * |  3  1  0 |  3  3  0 | 1  3 0
oo3oo4oo3oo&#x |  1  1 |  * 24  * ♦  0  8  0 |  0 12  0 | 0  6 0
.x .. .. ..    |  0  2 |  *  * 96 |  0  1  3 |  0  3  3 | 0  3 1
---------------+-------+----------+----------+----------+-------
x.3o. .. ..    |  3  0 |  3  0  0 | 96  *  * |  2  1  0 | 1  2 0
xx .. .. ..&#x |  2  2 |  1  2  1 |  * 96  * |  0  3  0 | 0  3 0
.x3.o .. ..    |  0  3 |  0  0  3 |  *  * 96 |  0  1  2 | 0  2 1
---------------+-------+----------+----------+----------+-------
x.3o.4o. ..    ♦  6  0 | 12  0  0 |  8  0  0 | 24  *  * | 1  1 0
xx3oo .. ..&#x ♦  3  3 |  3  3  3 |  1  3  1 |  * 96  * | 0  2 0
.x3.o4.o ..    ♦  0  6 |  0  0 12 |  0  0  8 |  *  * 24 | 0  1 1
---------------+-------+----------+----------+----------+-------
x.3o.4o.3o.    ♦ 24  0 | 96  0  0 | 96  0  0 | 24  0  0 | 1  * *
xx3oo4oo ..&#x ♦  6  6 | 12  6 12 |  8 12  8 |  1  8  1 | * 24 *
.x3.o4.o3.o    ♦  0 24 |  0  0 96 |  0  0 96 |  0  0 24 | *  * 1

oo3xx3oo4oo&#x   → height = 1
(ico || ico)

o.3o.3o.4o.    | 24  * |  8  1  0 |  4  8  8  0  0 |  4 2  4  8  0 0 | 1  4 2 0
.o3.o3.o4.o    |  * 24 |  0  1  8 |  0  0  8  4  8 |  0 0  4  8  4 2 | 0  4 2 1
---------------+-------+----------+----------------+-----------------+---------
.. x. .. ..    |  2  0 | 96  *  * |  1  2  1  0  0 |  2 1  1  2  0 0 | 1  2 1 0
oo3oo3oo4oo&#x |  1  1 |  * 24  * ♦  0  0  8  0  0 |  0 0  4  8  0 0 | 0  4 2 0
.. .x .. ..    |  0  2 |  *  * 96 |  0  0  1  1  2 |  0 0  1  2  2 1 | 0  2 1 1
---------------+-------+----------+----------------+-----------------+---------
o.3x. .. ..    |  3  0 |  3  0  0 | 32  *  *  *  * |  2 0  1  0  0 0 | 1  2 0 0
.. x.3o. ..    |  3  0 |  3  0  0 |  * 64  *  *  * |  1 1  0  1  0 0 | 1  1 1 0
.. xx .. ..&#x |  2  2 |  1  2  1 |  *  * 96  *  * |  0 0  1  2  0 0 | 0  2 1 0
.o3.x .. ..    |  0  3 |  0  0  3 |  *  *  * 32  * |  0 0  1  0  2 0 | 0  2 0 1
.. .x3.o ..    |  0  3 |  0  0  3 |  *  *  *  * 64 |  0 0  0  1  1 1 | 0  1 1 1
---------------+-------+----------+----------------+-----------------+---------
o.3x.3o. ..    ♦  6  0 | 12  0  0 |  4  4  0  0  0 | 16 *  *  *  * * | 1  1 0 0
.. x.3o.4o.    ♦  6  0 | 12  0  0 |  0  8  0  0  0 |  * 8  *  *  * * | 1  0 1 0
oo3xx .. ..&#x ♦  3  3 |  3  3  3 |  1  0  3  1  0 |  * * 32  *  * * | 0  2 0 0
.. xx3oo ..&#x ♦  3  3 |  3  3  3 |  0  1  3  0  1 |  * *  * 64  * * | 0  1 1 0
.o3.x3.o ..    ♦  0  6 |  0  0 12 |  0  0  0  4  4 |  * *  *  * 16 * | 0  1 0 1
.. .x3.o4.o    ♦  0  6 |  0  0 12 |  0  0  0  0  8 |  * *  *  *  * 8 | 0  0 1 1
---------------+-------+----------+----------------+-----------------+---------
o.3x.3o.4o.    ♦ 24  0 | 96  0  0 | 32 64  0  0  0 | 16 8  0  0  0 0 | 1  * * *
oo3xx3oo ..&#x ♦  6  6 | 12  6 12 |  4  4 12  4  4 |  1 0  4  4  1 0 | * 16 * *
.. xx3oo4oo&#x ♦  6  6 | 12  6 12 |  0  8 12  0  8 |  0 1  0  8  0 1 | *  * 8 *
.o3.x3.o4.o    ♦  0 24 |  0  0 96 |  0  0  0 32 64 |  0 0  0  0 16 8 | *  * * 1

oo3xx3oo *b3oo&#x   → height = 1
(ico || ico)

o.3o.3o. *b3o.    | 24  * |  8  1  0 |  4  4  4  8  0  0  0 | 2 2 2  4  4  4 0 0 0 | 1 2 2 2 0
.o3.o3.o *b3.o    |  * 24 |  0  1  8 |  0  0  0  8  4  4  4 | 0 0 0  4  4  4 2 2 2 | 0 2 2 2 1
------------------+-------+----------+----------------------+----------------------+----------
.. x. ..    ..    |  2  0 | 96  *  * |  1  1  1  1  0  0  0 | 1 1 1  1  1  1 0 0 0 | 1 1 1 1 0
oo3oo3oo *b3oo&#x |  1  1 |  * 24  * ♦  0  0  0  8  0  0  0 | 0 0 0  4  4  4 0 0 0 | 0 2 2 2 0
.. .x ..    ..    |  0  2 |  *  * 96 |  0  0  0  1  1  1  1 | 0 0 0  1  1  1 1 1 1 | 0 1 1 1 1
------------------+-------+----------+----------------------+----------------------+----------
o.3x. ..    ..    |  3  0 |  3  0  0 | 32  *  *  *  *  *  * | 1 1 0  1  0  0 0 0 0 | 1 1 1 0 0
.. x.3o.    ..    |  3  0 |  3  0  0 |  * 32  *  *  *  *  * | 1 0 1  0  1  0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o.    |  3  0 |  3  0  0 |  *  * 32  *  *  *  * | 0 1 1  0  0  1 0 0 0 | 1 0 1 1 0
.. xx ..    ..&#x |  2  2 |  1  2  1 |  *  *  * 96  *  *  * | 0 0 0  1  1  1 0 0 0 | 0 1 1 1 0
.o3.x ..    ..    |  0  3 |  0  0  3 |  *  *  *  * 32  *  * | 0 0 0  1  0  0 1 1 0 | 0 1 1 0 1
.. .x3.o    ..    |  0  3 |  0  0  3 |  *  *  *  *  * 32  * | 0 0 0  0  1  0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.o    |  0  3 |  0  0  3 |  *  *  *  *  *  * 32 | 0 0 0  0  0  1 0 1 1 | 0 0 1 1 1
------------------+-------+----------+----------------------+----------------------+----------
o.3x.3o.    ..    ♦  6  0 | 12  0  0 |  4  4  0  0  0  0  0 | 8 * *  *  *  * * * * | 1 1 0 0 0
o.3x. .. *b3o.    ♦  6  0 | 12  0  0 |  4  0  4  0  0  0  0 | * 8 *  *  *  * * * * | 1 0 1 0 0
.. x.3o. *b3o.    ♦  6  0 | 12  0  0 |  0  4  4  0  0  0  0 | * * 8  *  *  * * * * | 1 0 0 1 0
oo3xx ..    ..&#x ♦  3  3 |  3  3  3 |  1  0  0  3  1  0  0 | * * * 32  *  * * * * | 0 1 1 0 0
.. xx3oo    ..&#x ♦  3  3 |  3  3  3 |  0  1  0  3  0  1  0 | * * *  * 32  * * * * | 0 1 0 1 0
.. xx .. *b3oo&#x ♦  3  3 |  3  3  3 |  0  0  1  3  0  0  1 | * * *  *  * 32 * * * | 0 0 1 1 0
.o3.x3.o    ..    ♦  0  6 |  0  0 12 |  0  0  0  0  4  4  0 | * * *  *  *  * 8 * * | 0 1 0 0 1
.o3.x .. *b3.o    ♦  0  6 |  0  0 12 |  0  0  0  0  4  0  4 | * * *  *  *  * * 8 * | 0 0 1 0 1
.. .x3.o *b3.o    ♦  0  6 |  0  0 12 |  0  0  0  0  0  4  4 | * * *  *  *  * * * 8 | 0 0 0 1 1
------------------+-------+----------+----------------------+----------------------+----------
o.3x.3o. *b3o.    ♦ 24  0 | 96  0  0 | 32 32 32  0  0  0  0 | 8 8 8  0  0  0 0 0 0 | 1 * * * *
oo3xx3oo    ..&#x ♦  6  6 | 12  6 12 |  4  4  0 12  4  4  0 | 1 0 0  4  4  0 1 0 0 | * 8 * * *
oo3xx .. *b3oo&#x ♦  6  6 | 12  6 12 |  4  0  4 12  4  0  4 | 0 1 0  4  0  4 0 1 0 | * * 8 * *
.. xx3oo *b3oo&#x ♦  6  6 | 12  6 12 |  0  4  4 12  0  4  4 | 0 0 1  0  4  4 0 0 1 | * * * 8 *
.o3.x3.o *b3.o    ♦  0 24 |  0  0 96 |  0  0  0  0 32 32 32 | 0 0 0  0  0  0 8 8 8 | * * * * 1