Acronym sadi   (alt.: idex)
Name snub icositetrachoron,
snub disicositetrachoron,
semistruncated icositetrachoron,
Cross sections
` ©`
Circumradius (1+sqrt(5))/2 = 1.618034
Coordinates 2/2, τ/2, 1/2, 0)    & even permutations, all changes of sign
where τ = (1+sqrt(5))/2
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: ike tet sadi 24 120
)
Confer
related CRFs:
idsrix   idprix   idsid pixhi   bidex
segmentochora:
ikepy
External

Sadi is a special diminishing of the hexacosachoron (ex). In fact, into ex an f-ico can be vertex inscribed. If those 24 vertices of ex would be chopped off, resulting in an icosahedral section each, the outcome is nothing but sadi.

Incidence matrix according to Dynkin symbol

```s3s4o3o

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

```s3s3s4o

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

```s3s3s *b3s

demi( . . .    . ) | 96 ♦  1  1  1  2  2  2 |  1  1  1  3  3  3  3 | 1 1  1 1  4
-------------------+----+-------------------+----------------------+------------
s 2 s    .   |  2 | 48  *  *  *  *  * |  0  0  0  2  0  2  0 | 1 0  1 0  2
s 2 .    s   |  2 |  * 48  *  *  *  * |  0  0  0  0  2  2  0 | 0 1  1 0  2
. 2 s    s   |  2 |  *  * 48  *  *  * |  0  0  0  0  0  2  2 | 0 0  1 1  2
sefa( s3s .    . ) |  2 |  *  *  * 96  *  * |  1  0  0  1  1  0  0 | 1 1  0 0  1
sefa( . s3s    . ) |  2 |  *  *  *  * 96  * |  0  1  0  1  0  0  1 | 1 0  0 1  1
sefa( . s . *b3s ) |  2 |  *  *  *  *  * 96 |  0  0  1  0  1  0  1 | 0 1  0 1  1
-------------------+----+-------------------+----------------------+------------
s3s .    .   ♦  3 |  0  0  0  3  0  0 | 32  *  *  *  *  *  * | 1 1  0 0  0
. s3s    .   ♦  3 |  0  0  0  0  3  0 |  * 32  *  *  *  *  * | 1 0  0 1  0
. s . *b3s   ♦  3 |  0  0  0  0  0  3 |  *  * 32  *  *  *  * | 0 1  0 1  0
sefa( s3s3s    . ) |  3 |  1  0  0  1  1  0 |  *  *  * 96  *  *  * | 1 0  0 0  1
sefa( s3s . *b3s ) |  3 |  0  1  0  1  0  1 |  *  *  *  * 96  *  * | 0 1  0 0  1
sefa( s 2 s  2 s ) |  3 |  1  1  1  0  0  0 |  *  *  *  *  * 96  * | 0 0  1 0  1
sefa( . s3s *b3s ) |  3 |  0  0  1  0  1  1 |  *  *  *  *  *  * 96 | 0 0  0 1  1
-------------------+----+-------------------+----------------------+------------
s3s3s    .   ♦ 12 |  6  0  0 12 12  0 |  4  4  0 12  0  0  0 | 8 *  * *  *
s3s . *b3s   ♦ 12 |  0  6  0 12  0 12 |  4  0  4  0 12  0  0 | * 8  * *  *
s 2 s  2 s   ♦  4 |  2  2  2  0  0  0 |  0  0  0  0  0  4  0 | * * 24 *  *
. s3s *b3s   ♦ 12 |  0  0  6  0 12 12 |  0  4  4  0  0  0 12 | * *  * 8  *
sefa( s3s3s *b3s ) ♦  4 |  1  1  1  1  1  1 |  0  0  0  1  1  1  1 | * *  * * 96
```

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