sitwadip

Acronym	sitwadip
Name	square - dodecagon duoprism
Circumradius	sqrt[(5+2 sqrt(3))/2] = 2.057195
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	at {4} between cube and cube: 150° at {4} between cube and twip: 90° at {12} between twip and twip: 90°
Face vector	48, 96, 64, 16
Confer	general duoprisms: n,m-dip 2n,m-dip 2n,2m-dip 4,n-dip 4,2n-dip 12,n-dip general polytopal classes: segmentochora

Incidence matrix according to Dynkin symbol

x4o x12o

. . .  . | 48 |  2  2 |  1  4 1 |  2 2
---------+----+-------+---------+-----
x . .  . |  2 | 48  * |  1  2 0 |  2 1
. . x  . |  2 |  * 48 |  0  2 1 |  1 2
---------+----+-------+---------+-----
x4o .  . |  4 |  4  0 | 12  * * |  2 0
x . x  . |  4 |  2  2 |  * 48 * |  1 1
. . x12o | 12 |  0 12 |  *  * 4 |  0 2
---------+----+-------+---------+-----
x4o x  . ♦  8 |  8  4 |  2  4 0 | 12 *
x . x12o ♦ 24 | 12 24 |  0 12 2 |  * 4

x4o x12/11o

. . .     . | 48 |  2  2 |  1  4 1 |  2 2
------------+----+-------+---------+-----
x . .     . |  2 | 48  * |  1  2 0 |  2 1
. . x     . |  2 |  * 48 |  0  2 1 |  1 2
------------+----+-------+---------+-----
x4o .     . |  4 |  4  0 | 12  * * |  2 0
x . x     . |  4 |  2  2 |  * 48 * |  1 1
. . x12/11o | 12 |  0 12 |  *  * 4 |  0 2
------------+----+-------+---------+-----
x4o x     . ♦  8 |  8  4 |  2  4 0 | 12 *
x . x12/11o ♦ 24 | 12 24 |  0 12 2 |  * 4

x4o x6x

. . . . | 48 |  2  1  1 |  1  2  2 1 | 1 1 2
--------+----+----------+------------+------
x . . . |  2 | 48  *  * |  1  1  1 0 | 1 1 1
. . x . |  2 |  * 24  * |  0  2  0 1 | 1 0 2
. . . x |  2 |  *  * 24 |  0  0  2 1 | 0 1 2
--------+----+----------+------------+------
x4o . . |  4 |  4  0  0 | 12  *  * * | 1 1 0
x . x . |  4 |  2  2  0 |  * 24  * * | 1 0 1
x . . x |  4 |  2  0  2 |  *  * 24 * | 0 1 1
. . x6x | 12 |  0  6  6 |  *  *  * 4 | 0 0 2
--------+----+----------+------------+------
x4o x . ♦  8 |  8  4  0 |  2  4  0 0 | 6 * *
x4o . x ♦  8 |  8  0  4 |  2  0  4 0 | * 6 *
x . x6x ♦ 24 | 12 12 12 |  0  6  6 2 | * * 4

snubbed forms: s4o2s6x

x4/3o x12o

.   . .  . | 48 |  2  2 |  1  4 1 |  2 2
-----------+----+-------+---------+-----
x   . .  . |  2 | 48  * |  1  2 0 |  2 1
.   . x  . |  2 |  * 48 |  0  2 1 |  1 2
-----------+----+-------+---------+-----
x4/3o .  . |  4 |  4  0 | 12  * * |  2 0
x   . x  . |  4 |  2  2 |  * 48 * |  1 1
.   . x12o | 12 |  0 12 |  *  * 4 |  0 2
-----------+----+-------+---------+-----
x4/3o x  . ♦  8 |  8  4 |  2  4 0 | 12 *
x   . x12o ♦ 24 | 12 24 |  0 12 2 |  * 4

x4/3o x12/11o

.   . .     . | 48 |  2  2 |  1  4 1 |  2 2
--------------+----+-------+---------+-----
x   . .     . |  2 | 48  * |  1  2 0 |  2 1
.   . x     . |  2 |  * 48 |  0  2 1 |  1 2
--------------+----+-------+---------+-----
x4/3o .     . |  4 |  4  0 | 12  * * |  2 0
x   . x     . |  4 |  2  2 |  * 48 * |  1 1
.   . x12/11o | 12 |  0 12 |  *  * 4 |  0 2
--------------+----+-------+---------+-----
x4/3o x     . ♦  8 |  8  4 |  2  4 0 | 12 *
x   . x12/11o ♦ 24 | 12 24 |  0 12 2 |  * 4

x4/3o x6x

.   . . . | 48 |  2  1  1 |  1  2  2 1 | 1 1 2
----------+----+----------+------------+------
x   . . . |  2 | 48  *  * |  1  1  1 0 | 1 1 1
.   . x . |  2 |  * 24  * |  0  2  0 1 | 1 0 2
.   . . x |  2 |  *  * 24 |  0  0  2 1 | 0 1 2
----------+----+----------+------------+------
x4/3o . . |  4 |  4  0  0 | 12  *  * * | 1 1 0
x   . x . |  4 |  2  2  0 |  * 24  * * | 1 0 1
x   . . x |  4 |  2  0  2 |  *  * 24 * | 0 1 1
.   . x6x | 12 |  0  6  6 |  *  *  * 4 | 0 0 2
----------+----+----------+------------+------
x4/3o x . ♦  8 |  8  4  0 |  2  4  0 0 | 6 * *
x4/3o . x ♦  8 |  8  0  4 |  2  0  4 0 | * 6 *
x   . x6x ♦ 24 | 12 12 12 |  0  6  6 2 | * * 4

x x x12o

. . .  . | 48 |  1  1  2 |  1  2  2 1 |  2 1 1
---------+----+----------+------------+-------
x . .  . |  2 | 24  *  * |  1  2  0 0 |  2 1 0
. x .  . |  2 |  * 24  * |  1  0  2 0 |  2 0 1
. . x  . |  2 |  *  * 48 |  0  1  1 1 |  1 1 1
---------+----+----------+------------+-------
x x .  . |  4 |  2  2  0 | 12  *  * * |  2 0 0
x . x  . |  4 |  2  0  2 |  * 24  * * |  1 1 0
. x x  . |  4 |  0  2  2 |  *  * 24 * |  1 0 1
. . x12o | 12 |  0  0 12 |  *  *  * 4 |  0 1 1
---------+----+----------+------------+-------
x x x  . ♦  8 |  4  4  4 |  2  2  2 0 | 12 * *
x . x12o ♦ 24 | 12  0 24 |  0 12  0 2 |  * 2 *
. x x12o ♦ 24 |  0 12 24 |  0  0 12 2 |  * * 2

x x x12/11o

. . .     . | 48 |  1  1  2 |  1  2  2 1 |  2 1 1
------------+----+----------+------------+-------
x . .     . |  2 | 24  *  * |  1  2  0 0 |  2 1 0
. x .     . |  2 |  * 24  * |  1  0  2 0 |  2 0 1
. . x     . |  2 |  *  * 48 |  0  1  1 1 |  1 1 1
------------+----+----------+------------+-------
x x .     . |  4 |  2  2  0 | 12  *  * * |  2 0 0
x . x     . |  4 |  2  0  2 |  * 24  * * |  1 1 0
. x x     . |  4 |  0  2  2 |  *  * 24 * |  1 0 1
. . x12/11o | 12 |  0  0 12 |  *  *  * 4 |  0 1 1
------------+----+----------+------------+-------
x x x     . ♦  8 |  4  4  4 |  2  2  2 0 | 12 * *
x . x12/11o ♦ 24 | 12  0 24 |  0 12  0 2 |  * 2 *
. x x12/11o ♦ 24 |  0 12 24 |  0  0 12 2 |  * * 2

x x x6x

. . . . | 48 |  1  1  1  1 |  1  1  1  1  1 1 | 1 1 1 1
--------+----+-------------+------------------+--------
x . . . |  2 | 24  *  *  * |  1  1  1  0  0 0 | 1 1 1 0
. x . . |  2 |  * 24  *  * |  1  0  0  1  1 0 | 1 1 0 1
. . x . |  2 |  *  * 24  * |  0  1  0  1  0 1 | 1 0 1 1
. . . x |  2 |  *  *  * 24 |  0  0  1  0  1 1 | 0 1 1 1
--------+----+-------------+------------------+--------
x x . . |  4 |  2  2  0  0 | 12  *  *  *  * * | 1 1 0 0
x . x . |  4 |  2  0  2  0 |  * 12  *  *  * * | 1 0 1 0
x . . x |  4 |  2  0  0  2 |  *  * 12  *  * * | 0 1 1 0
. x x . |  4 |  0  2  2  0 |  *  *  * 12  * * | 1 0 0 1
. x . x |  4 |  0  2  0  2 |  *  *  *  * 12 * | 0 1 0 1
. . x6x | 12 |  0  0  6  6 |  *  *  *  *  * 4 | 0 0 1 1
--------+----+-------------+------------------+--------
x x x . ♦  8 |  4  4  4  0 |  2  2  0  2  0 0 | 6 * * *
x x . x ♦  8 |  4  4  0  4 |  2  0  2  0  2 0 | * 6 * *
x . x6x ♦ 24 | 12  0 12 12 |  0  6  6  0  0 2 | * * 2 *
. x x6x ♦ 24 |  0 12 12 12 |  0  0  0  6  6 2 | * * * 2

snubbed forms: s2s2s6x

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