Acronym sadip
Name snub-icositetrachoron prism,
snub-disicositetrachoron prism,
semistruncated-icositetrachoron prism
Circumradius sqrt[7+2 sqrt(5)]/2 = 1.693527
Coordinates 2/2, τ/2, 1/2, 0, 1/2)    & even permutations in all but last coord., all changes of sign
where τ = (1+sqrt(5))/2
Confer
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x s3s4o3o

. demi( . . . . ) | 192 |  1   3   6 |   3   6   3   9   3 |  3   9  3  3  1   4 |  3  1  4 1
------------------+-----+------------+---------------------+---------------------+-----------
x       . . . .   |   2 | 96   *   *    3   6   0   0   0 |  3   9  3  0  0   0 |  3  1  4 0
.       . s4o .   |   2 |  * 288   * |   1   0   0   2   2 |  0   2  2  1  1   2 |  1  1  2 1
. sefa( s3s . . ) |   2 |  *   * 576 |   0   1   1   2   0 |  1   2  0  2  0   1 |  2  0  1 1
------------------+-----+------------+---------------------+---------------------+-----------
x       . s4o .   |   4 |  2   2   0 | 144   *   *   *   * |  0   2  2  0  0   0 |  1  1  2 0
x sefa( s3s . . ) |   4 |  2   0   2 |   * 288   *   *   * |  1   2  0  0  0   0 |  2  0  1 0
.       s3s . .      3 |  0   0   3 |   *   * 192   *   * |  1   0  0  2  0   0 |  2  0  0 1
. sefa( s3s4o . ) |   3 |  0   1   2 |   *   *   * 576   * |  0   1  0  1  0   1 |  1  0  1 1
. sefa( . s4o3o ) |   3 |  0   3   0 |   *   *   *   * 192 |  0   0  1  0  1   1 |  0  1  1 1
------------------+-----+------------+---------------------+---------------------+-----------
x       s3s . .      6 |  3   0   6 |   0   3   2   0   0 | 96   *  *  *  *   * |  2  0  0 0
x sefa( s3s4o . )    6 |  3   2   4 |   1   2   0   2   0 |  * 288  *  *  *   * |  1  0  1 0
x sefa( . s4o3o )    6 |  3   6   0 |   3   0   0   0   2 |  *   * 96  *  *   * |  0  1  1 0
.       s3s4o .     12 |  0   6  24 |   0   0   8  12   0 |  *   *  * 48  *   * |  1  0  0 1
.       . s4o3o      4 |  0   6   0 |   0   0   0   0   4 |  *   *  *  * 48   * |  0  1  0 1
. sefa( s3s4o3o )    4 |  0   3   3 |   0   0   0   3   1 |  *   *  *  *  * 192 |  0  0  1 1
------------------+-----+------------+---------------------+---------------------+-----------
x       s3s4o .     24 | 12  12  48 |   6  24  16  24   0 |  8  12  0  2  0   0 | 24  *  * *
x       . s4o3o      8 |  4  12   0 |   6   0   0   0   8 |  0   0  4  0  2   0 |  * 24  * *
x sefa( s3s4o3o )    8 |  4   6   6 |   3   3   0   6   2 |  0   3  1  0  0   2 |  *  * 96 *
.       s3s4o3o     96 |  0 144 288 |   0   0  96 288  96 |  0   0  0 24 24  96 |  *  *  * 2

x s3s3s4o

. demi( . . . . ) | 192 |  1   2  1   2   4 |  2  1  2   4  1   2   6   3   3 |  1  2   6  3  3  2  1  1   4 |  2  1 1  4 1
------------------+-----+-------------------+---------------------------------+------------------------------+-------------
x       . . . .   |   2 | 96   *  *   *   *   2  1  2   4  0   0   0   0   0 |  1  2   6  3  3  0  0  0   0 |  2  1 1  4 0
.       s 2 s .   |   2 |  * 192  *   *   * |  1  0  0   0  0   0   2   2   0 |  0  0   2  2  0  1  1  0   2 |  1  1 0  2 1
.       . . s4o   |   2 |  *   * 96   *   * |  0  1  0   0  0   0   0   2   2 |  0  0   0  2  2  0  1  1   2 |  0  1 1  2 1
. sefa( s3s . . ) |   2 |  *   *  * 192   * |  0  0  1   0  1   0   2   0   0 |  1  0   2  0  0  2  0  0   1 |  2  0 0  1 1
. sefa( . s3s . ) |   2 |  *   *  *   * 384 |  0  0  0   1  0   1   1   0   1 |  0  1   1  0  1  1  0  1   1 |  1  0 1  1 1
------------------+-----+-------------------+---------------------------------+------------------------------+-------------
x       s 2 s .   |   4 |  2   2  0   0   0 | 96  *  *   *  *   *   *   *   * |  0  0   2  2  0  0  0  0   0 |  1  1 0  2 0
x       . . s4o   |   4 |  2   0  2   0   0 |  * 48  *   *  *   *   *   *   * |  0  0   0  2  2  0  0  0   0 |  0  1 1  2 0
x sefa( s3s . . ) |   4 |  2   0  0   2   0 |  *  * 96   *  *   *   *   *   * |  1  0   2  0  0  0  0  0   0 |  2  0 0  1 0
x sefa( . s3s . ) |   4 |  2   0  0   0   2 |  *  *  * 192  *   *   *   *   * |  0  1   1  0  1  0  0  0   0 |  1  0 1  1 0
.       s3s . .      3 |  0   0  0   3   0 |  *  *  *   * 64   *   *   *   * |  1  0   0  0  0  2  0  0   0 |  2  0 0  0 1
.       . s3s .      3 |  0   0  0   0   3 |  *  *  *   *  * 128   *   *   * |  0  1   0  0  0  1  0  1   0 |  1  0 1  0 1
. sefa( s3s3s . ) |   3 |  0   1  0   1   1 |  *  *  *   *  *   * 384   *   * |  0  0   1  0  0  1  0  0   1 |  1  0 0  1 1
. sefa( s 2 s4o ) |   3 |  0   2  1   0   0 |  *  *  *   *  *   *   * 192   * |  0  0   0  1  0  0  1  0   1 |  0  1 0  1 1
. sefa( . s3s4o ) |   3 |  0   0  1   0   2 |  *  *  *   *  *   *   *   * 192 |  0  0   0  0  1  0  0  1   1 |  0  0 1  1 1
------------------+-----+-------------------+---------------------------------+------------------------------+-------------
x       s3s . .      6 |  3   0  0   6   0 |  0  0  3   0  2   0   0   0   0 | 32  *   *  *  *  *  *  *   * |  2  0 0  0 0
x       . s3s .      6 |  3   0  0   0   6 |  0  0  0   3  0   2   0   0   0 |  * 64   *  *  *  *  *  *   * |  1  0 1  0 0
x sefa( s3s3s . )    6 |  3   2  0   2   2 |  1  0  1   1  0   0   2   0   0 |  *  * 192  *  *  *  *  *   * |  1  0 0  1 0
x sefa( s 2 s4o )    6 |  3   4  2   0   0 |  2  1  0   0  0   0   0   2   0 |  *  *   * 96  *  *  *  *   * |  0  1 0  1 0
x sefa( . s3s4o )    6 |  3   0  2   0   4 |  0  1  0   2  0   0   0   0   2 |  *  *   *  * 96  *  *  *   * |  0  0 1  1 0
.       s3s3s .     12 |  0   6  0  12  12 |  0  0  0   0  4   4  12   0   0 |  *  *   *  *  * 32  *  *   * |  1  0 0  0 1
.       s 2 s4o      4 |  0   4  2   0   0 |  0  0  0   0  0   0   0   4   0 |  *  *   *  *  *  * 48  *   * |  0  1 0  0 1
.       . s3s4o     12 |  0   0  6   0  24 |  0  0  0   0  0   8   0   0  12 |  *  *   *  *  *  *  * 16   * |  0  0 1  0 1
. sefa( s3s3s4o )    4 |  0   2  1   1   2 |  0  0  0   0  0   0   2   1   1 |  *  *   *  *  *  *  *  * 192 |  0  0 0  1 1
------------------+-----+-------------------+---------------------------------+------------------------------+-------------
x       s3s3s .     24 | 12  12  0  24  24 |  6  0 12  12  8   8  24   0   0 |  4  4  12  0  0  2  0  0   0 | 16  * *  * *
x       s 2 s4o      8 |  4   8  4   0   0 |  4  2  0   0  0   0   0   8   0 |  0  0   0  4  0  0  2  0   0 |  * 24 *  * *
x       . s3s4o     24 | 12   0 12   0  48 |  0  6  0  24  0  16   0   0  24 |  0  8   0  0 12  0  0  2   0 |  *  * 8  * *
x sefa( s3s3s4o )    8 |  4   4  2   2   4 |  2  1  1   2  0   0   4   2   2 |  0  0   2  1  1  0  0  0   2 |  *  * * 96 *
.       s3s3s4o     96 |  0  96 48  96 192 |  0  0  0   0 32  64 192  96  96 |  0  0   0  0  0 16 24  8  96 |  *  * *  * 2

x s3s3s *c3s

. demi( . . .    . ) | 192 |  1  1  1  1   2   2   2 |  1  1  1  2  2  2  1  1  1   3   3   3   3 |  1  1  1  3  3  3  3  1  1  1  1   4 | 1 1  1 1  4 1
---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+--------------
x       . . .    .   |   2 | 96  *  *  *   *   *   *   1  1  1  2  2  2  0  0  0   0   0   0   0 |  1  1  1  3  3  3  3  0  0  0  0   0 | 1 1  1 1  4 0
.       s 2 s    .   |   2 |  * 96  *  *   *   *   * |  1  0  0  0  0  0  0  0  0   2   0   2   0 |  0  0  0  2  0  2  0  1  0  1  0   2 | 1 0  1 0  2 1
.       s 2 .    s   |   2 |  *  * 96  *   *   *   * |  0  1  0  0  0  0  0  0  0   0   2   2   0 |  0  0  0  0  2  2  0  0  1  1  0   2 | 0 1  1 0  2 1
.       . 2 s    s   |   2 |  *  *  * 96   *   *   * |  0  0  1  0  0  0  0  0  0   0   0   2   2 |  0  0  0  0  0  2  2  0  0  1  1   2 | 0 0  1 1  2 1
. sefa( s3s .    . ) |   2 |  *  *  *  * 192   *   * |  0  0  0  1  0  0  1  0  0   1   1   0   0 |  1  0  0  1  1  0  0  1  1  0  0   1 | 1 1  0 0  1 1
. sefa( . s3s    . ) |   2 |  *  *  *  *   * 192   * |  0  0  0  0  1  0  0  1  0   1   0   0   1 |  0  1  0  1  0  0  1  1  0  0  1   1 | 1 0  0 1  1 1
. sefa( . s . *c3s ) |   2 |  *  *  *  *   *   * 192 |  0  0  0  0  0  1  0  0  1   0   1   0   1 |  0  0  1  0  1  0  1  0  1  0  1   1 | 0 1  0 1  1 1
---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+--------------
x       s 2 s    .   |   4 |  2  2  0  0   0   0   0 | 48  *  *  *  *  *  *  *  *   *   *   *   * |  0  0  0  2  0  2  0  0  0  0  0   0 | 1 0  1 0  2 0
x       s 2 .    s   |   4 |  2  0  2  0   0   0   0 |  * 48  *  *  *  *  *  *  *   *   *   *   * |  0  0  0  0  2  2  0  0  0  0  0   0 | 0 1  1 0  2 0
x       . 2 s    s   |   4 |  2  0  0  2   0   0   0 |  *  * 48  *  *  *  *  *  *   *   *   *   * |  0  0  0  0  0  2  2  0  0  0  0   0 | 0 0  1 1  2 0
x sefa( s3s .    . ) |   4 |  2  0  0  0   2   0   0 |  *  *  * 96  *  *  *  *  *   *   *   *   * |  1  0  0  1  1  0  0  0  0  0  0   0 | 1 1  0 0  1 0
x sefa( . s3s    . ) |   4 |  2  0  0  0   0   2   0 |  *  *  *  * 96  *  *  *  *   *   *   *   * |  0  1  0  1  0  0  1  0  0  0  0   0 | 1 0  0 1  1 0
x sefa( . s . *c3s ) |   4 |  2  0  0  0   0   0   2 |  *  *  *  *  * 96  *  *  *   *   *   *   * |  0  0  1  0  1  0  1  0  0  0  0   0 | 0 1  0 1  1 0
.       s3s .    .      3 |  0  0  0  0   3   0   0 |  *  *  *  *  *  * 64  *  *   *   *   *   * |  1  0  0  0  0  0  0  1  1  0  0   0 | 1 1  0 0  0 1
.       . s3s    .      3 |  0  0  0  0   0   3   0 |  *  *  *  *  *  *  * 64  *   *   *   *   * |  0  1  0  0  0  0  0  1  0  0  1   0 | 1 0  0 1  0 1
.       . s . *c3s      3 |  0  0  0  0   0   0   3 |  *  *  *  *  *  *  *  * 64   *   *   *   * |  0  0  1  0  0  0  0  0  1  0  1   0 | 0 1  0 1  0 1
. sefa( s3s3s    . ) |   3 |  0  1  0  0   1   1   0 |  *  *  *  *  *  *  *  *  * 192   *   *   * |  0  0  0  1  0  0  0  1  0  0  0   1 | 1 0  0 0  1 1
. sefa( s3s . *c3s ) |   3 |  0  0  1  0   1   0   1 |  *  *  *  *  *  *  *  *  *   * 192   *   * |  0  0  0  0  1  0  0  0  1  0  0   1 | 0 1  0 0  1 1
. sefa( s 2 s  2 s ) |   3 |  0  1  1  1   0   0   0 |  *  *  *  *  *  *  *  *  *   *   * 192   * |  0  0  0  0  0  1  0  0  0  1  0   1 | 0 0  1 0  1 1
. sefa( . s3s *c3s ) |   3 |  0  0  0  1   0   1   1 |  *  *  *  *  *  *  *  *  *   *   *   * 192 |  0  0  0  0  0  0  1  0  0  0  1   1 | 0 0  0 1  1 1
---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+--------------
x       s3s .    .      6 |  3  0  0  0   6   0   0 |  0  0  0  3  0  0  2  0  0   0   0   0   0 | 32  *  *  *  *  *  *  *  *  *  *   * | 1 1  0 0  0 0
x       . s3s    .      6 |  3  0  0  0   0   6   0 |  0  0  0  0  3  0  0  2  0   0   0   0   0 |  * 32  *  *  *  *  *  *  *  *  *   * | 1 0  0 1  0 0
x       . s . *c3s      6 |  3  0  0  0   0   0   6 |  0  0  0  0  0  3  0  0  2   0   0   0   0 |  *  * 32  *  *  *  *  *  *  *  *   * | 0 1  0 1  0 0
x sefa( s3s3s    . )    6 |  3  2  0  0   2   2   0 |  1  0  0  1  1  0  0  0  0   2   0   0   0 |  *  *  * 96  *  *  *  *  *  *  *   * | 1 0  0 0  1 0
x sefa( s3s . *c3s )    6 |  3  0  2  0   2   0   2 |  0  1  0  1  0  1  0  0  0   0   2   0   0 |  *  *  *  * 96  *  *  *  *  *  *   * | 0 1  0 0  1 0
x sefa( s 2 s    s )    6 |  3  2  2  2   0   0   0 |  1  1  1  0  0  0  0  0  0   0   0   2   0 |  *  *  *  *  * 96  *  *  *  *  *   * | 0 0  1 0  1 0
x sefa( . s3s *c3s )    6 |  3  0  0  2   0   2   2 |  0  0  1  0  1  1  0  0  0   0   0   0   2 |  *  *  *  *  *  * 96  *  *  *  *   * | 0 0  0 1  1 0
.       s3s3s    .     12 |  0  6  0  0  12  12   0 |  0  0  0  0  0  0  4  4  0  12   0   0   0 |  *  *  *  *  *  *  * 16  *  *  *   * | 1 0  0 0  0 1
.       s3s . *c3s     12 |  0  0  6  0  12   0  12 |  0  0  0  0  0  0  4  0  4   0  12   0   0 |  *  *  *  *  *  *  *  * 16  *  *   * | 0 1  0 0  0 1
.       s 2 s  2 s      4 |  0  2  2  2   0   0   0 |  0  0  0  0  0  0  0  0  0   0   0   4   0 |  *  *  *  *  *  *  *  *  * 48  *   * | 0 0  1 0  0 1
.       . s3s *c3s     12 |  0  0  0  6   0  12  12 |  0  0  0  0  0  0  0  4  4   0   0   0  12 |  *  *  *  *  *  *  *  *  *  * 16   * | 0 0  0 1  0 1
. sefa( s3s3s *c3s )    4 |  0  1  1  1   1   1   1 |  0  0  0  0  0  0  0  0  0   1   1   1   1 |  *  *  *  *  *  *  *  *  *  *  * 192 | 0 0  0 0  1 1
---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+--------------
x       s3s3s    .     24 | 12 12  0  0  24  24   0 |  6  0  0 12 12  0  8  8  0  24   0   0   0 |  4  4  0 12  0  0  0  2  0  0  0   0 | 8 *  * *  * *
x       s3s . *c3s     24 | 12  0 12  0  24   0  24 |  0  6  0 12  0 12  8  0  8   0  24   0   0 |  4  0  4  0 12  0  0  0  2  0  0   0 | * 8  * *  * *
x       s 2 s  2 s      8 |  4  4  4  4   0   0   0 |  2  2  2  0  0  0  0  0  0   0   0   8   0 |  0  0  0  0  0  4  0  0  0  2  0   0 | * * 24 *  * *
x       . s3s *c3s     24 | 12  0  0 12   0  24  24 |  0  0  6  0 12 12  0  8  8   0   0   0  24 |  0  4  4  0  0  0 12  0  0  0  2   0 | * *  * 8  * *
x sefa( s3s3s *c3s )    8 |  4  2  2  2   2   2   2 |  1  1  1  1  1  1  0  0  0   2   2   2   2 |  0  0  0  1  1  1  1  0  0  0  0   2 | * *  * * 96 *
.       s3s3s *c3s     96 |  0 48 48 48  96  96  96 |  0  0  0  0  0  0 32 32 32  96  96  96  96 |  0  0  0  0  0  0  0  8  8 24  8  96 | * *  * *  * 2

s3s4o3o || s3s4o3o   → height = 1
(sadi || sadi)

demi( . . . . )                   | 96  * |   3   6  1   0   0 |  3   9  3   3   6  0   0  0 |  3  1  4  3   9  3  0  0  0 | 1  3  1  4 0
                  demi( . . . . ) |  * 96 |   0   0  1   3   6 |  0   0  0   3   6  3   9  3 |  0  0  0  3   9  3  3  1  4 | 0  3  1  4 1
----------------------------------+-------+--------------------+-----------------------------+-----------------------------+-------------
      . s4o .                     |  2  0 | 144   *  *   *   * |  0   2  2   1   0  0   0  0 |  1  1  2  0   2  2  0  0  0 | 1  1  1  2 0
sefa( s3s . . )                   |  2  0 |   * 288  *   *   * |  1   2  0   0   1  0   0  0 |  2  0  1  1   2  0  0  0  0 | 1  2  0  1 0
demi( . . . . ) || demi( . . . . ) |  1  1 |   *   * 96   *   *   0   0  0   3   6  0   0  0 |  0  0  0  3   9  3  0  0  0 | 0  3  1  4 0
                        . s4o .   |  0  2 |   *   *  * 144   * |  0   0  0   1   0  0   2  2 |  0  0  0  0   2  2  1  1  2 | 0  1  1  2 1
                  sefa( s3s . . ) |  0  2 |   *   *  *   * 288 |  0   0  0   0   1  1   2  0 |  0  0  0  1   2  0  2  0  1 | 0  2  0  1 1
----------------------------------+-------+--------------------+-----------------------------+-----------------------------+-------------
      s3s . .                     |  3  0 |   0   3  0   0   0 | 96   *  *   *   *  *   *  * |  2  0  0  1   0  0  0  0  0 | 1  2  0  0 0
sefa( s3s4o . )                   |  3  0 |   1   2  0   0   0 |  * 288  *   *   *  *   *  * |  1  0  1  0   1  0  0  0  0 | 1  1  0  1 0
sefa( . s4o3o )                   |  3  0 |   3   0  0   0   0 |  *   * 96   *   *  *   *  * |  0  1  1  0   0  1  0  0  0 | 1  0  1  1 0
      . s4o .   ||       . s4o .   |  2  2 |   1   0  2   1   0 |  *   *  * 144   *  *   *  * |  0  0  0  0   2  2  0  0  0 | 0  1  1  2 0
sefa( s3s . . ) || sefa( s3s . . ) |  2  2 |   0   1  2   0   1 |  *   *  *   * 288  *   *  * |  0  0  0  1   2  0  0  0  0 | 0  2  0  1 0
                        s3s . .   |  0  3 |   0   0  0   0   3 |  *   *  *   *   * 96   *  * |  0  0  0  1   0  0  2  0  0 | 0  2  0  0 1
                  sefa( s3s4o . ) |  0  3 |   0   0  0   1   2 |  *   *  *   *   *  * 288  * |  0  0  0  0   1  0  1  0  1 | 0  1  0  1 1
                  sefa( . s4o3o ) |  0  3 |   0   0  0   3   0 |  *   *  *   *   *  *   * 96 |  0  0  0  0   0  1  0  1  1 | 0  0  1  1 1
----------------------------------+-------+--------------------+-----------------------------+-----------------------------+-------------
      s3s4o .                      12  0 |   6  24  0   0   0 |  8  12  0   0   0  0   0  0 | 24  *  *  *   *  *  *  *  * | 1  1  0  0 0
      . s4o3o                       4  0 |   6   0  0   0   0 |  0   0  4   0   0  0   0  0 |  * 24  *  *   *  *  *  *  * | 1  0  1  0 0
sefa( s3s4o3o )                     4  0 |   3   3  0   0   0 |  0   3  1   0   0  0   0  0 |  *  * 96  *   *  *  *  *  * | 1  0  0  1 0
      s3s . .   ||       s3s . .     3  3 |   0   3  3   0   3 |  1   0  0   0   3  1   0  0 |  *  *  * 96   *  *  *  *  * | 0  2  0  0 0
sefa( s3s4o . ) || sefa( s3s4o . )   3  3 |   1   2  3   1   2 |  0   1  0   1   2  0   1  0 |  *  *  *  * 288  *  *  *  * | 0  1  0  1 0
sefa( . s4o3o ) || sefa( . s4o3o )   3  3 |   3   0  3   3   0 |  0   0  1   3   0  0   0  1 |  *  *  *  *   * 96  *  *  * | 0  0  1  1 0
                        s3s4o .     0 12 |   0   0  0   6  24 |  0   0  0   0   0  8  12  0 |  *  *  *  *   *  * 24  *  * | 0  1  0  0 1
                        . s4o3o     0  4 |   0   0  0   6   0 |  0   0  0   0   0  0   0  4 |  *  *  *  *   *  *  * 24  * | 0  0  1  0 1
                  sefa( s3s4o3o )   0  4 |   0   0  0   3   3 |  0   0  0   0   0  0   3  1 |  *  *  *  *   *  *  *  * 96 | 0  0  0  1 1
----------------------------------+-------+--------------------+-----------------------------+-----------------------------+-------------
      s3s4o3o                      96  0 | 144 288  0   0   0 | 96 288 96   0   0  0   0  0 | 24 24 96  0   0  0  0  0  0 | 1  *  *  * *
      s3s4o .   ||       s3s4o .    12 12 |   6  24 12   6  24 |  8  12  0   6  24  8  12  0 |  1  0  0  8  12  0  1  0  0 | * 24  *  * *
      . s4o3o   ||       . s4o3o     4  4 |   6   0  4   6   0 |  0   0  4   6   0  0   0  4 |  0  1  0  0   0  4  0  1  0 | *  * 24  * *
sefa( s3s4o3o ) || sefa( s3s4o3o )   4  4 |   3   3  4   3   3 |  0   3  1   3   3  0   3  1 |  0  0  1  0   3  1  0  0  1 | *  *  * 96 *
                        s3s4o3o     0 96 |   0   0  0 144 288 |  0   0  0   0   0 96 288 96 |  0  0  0  0   0  0 24 24 96 | *  *  *  * 1

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