| Acronym | siphina |
| Name |
siphin alterprism, medial segment of sochax |
| Circumradius | sqrt(7)/2 = 1.322876 |
|
Lace city in approx. ASCII-art |
H r R h -- x3o3o *b3o3x (siphin) h R r H -- o3o3x *b3o3x (alt. siphin) | | | +-- x3o3o *b3o3o (hin) | | +------ xo3oo3xx *b3ox&#x (rita) | +---------- ox3oo3xx *b3xo&#x (alt. rita) +-------------- o3o3x *b3o3o (alt. hin) where: H = x3o3o *b3o (hex) h = o3o3o *b3x (gyro hex) R = o3o3x *b3x (rit) r = x3o3x *b3o (gyro rit) |
| Coordinates | (1/sqrt(8); 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 3/sqrt(8)) all permutations in one but first coord., all even changes of sign |
| Face vector | 160, 1120, 2880, 3120, 1364, 164 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3ox *b3oo3xx&#x → height = 1/sqrt(2) = 0.707107
(siphin || alt. siphin)
o.3o.3o. *b3o.3o. & | 160 | 6 4 4 | 12 12 6 18 12 | 4 4 12 6 4 16 6 36 12 | 1 4 4 1 4 5 16 12 18 4 | 1 1 4 5 6
-----------------------+-----+-------------+---------------------+-------------------------------------+-----------------------------------+--------------
x. .. .. .. .. & | 2 | 480 * * | 4 2 0 2 0 | 2 2 4 1 0 4 1 4 0 | 1 2 2 0 2 2 4 2 2 0 | 1 1 2 2 1
.. .. .. .. x. & | 2 | * 320 * | 0 3 3 0 3 | 0 0 3 3 3 0 0 9 6 | 0 1 3 1 0 0 4 3 9 3 | 1 0 1 4 3
oo3oo3oo *b3oo3oo&#x | 2 | * * 320 | 0 0 0 6 3 | 0 0 0 0 0 6 3 12 3 | 0 0 0 0 3 2 6 6 6 1 | 0 1 3 2 3
-----------------------+-----+-------------+---------------------+-------------------------------------+-----------------------------------+--------------
x.3o. .. .. .. & | 3 | 3 0 0 | 640 * * * * | 1 1 1 0 0 1 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
x. .. .. .. x. & | 4 | 2 2 0 | * 480 * * * | 0 0 2 1 0 0 0 2 0 | 0 1 2 0 0 0 2 1 2 0 | 1 0 1 2 1
.. .. .. o.3x. & | 3 | 0 3 0 | * * 320 * * | 0 0 0 1 2 0 0 0 2 | 0 0 2 1 0 0 0 0 3 2 | 1 0 0 3 1
xo .. .. .. ..&#x & | 3 | 1 0 2 | * * * 960 * | 0 0 0 0 0 2 1 2 0 | 0 0 0 0 2 1 2 2 1 0 | 0 1 2 1 1
.. .. .. .. xx&#x | 4 | 0 2 2 | * * * * 480 | 0 0 0 0 0 0 0 4 2 | 0 0 0 0 0 0 2 2 4 1 | 0 0 1 2 2
-----------------------+-----+-------------+---------------------+-------------------------------------+-----------------------------------+--------------
x.3o.3o. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 | 160 * * * * * * * * | 1 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
x.3o. .. *b3o. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 | * 160 * * * * * * * | 1 0 2 0 0 1 0 0 0 0 | 1 1 0 1 0
x.3o. .. .. x. & ♦ 6 | 6 3 0 | 2 3 0 0 0 | * * 320 * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
x. .. .. o.3x. & ♦ 6 | 3 6 0 | 0 3 2 0 0 | * * * 160 * * * * * | 0 0 1 0 0 0 0 0 2 0 | 1 0 0 2 1
.. o. .. *b3o.3x. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * * 160 * * * * | 0 0 0 1 0 0 0 0 0 1 | 1 0 0 2 0
xo3oo .. .. ..&#x & ♦ 4 | 3 0 3 | 1 0 0 3 0 | * * * * * 640 * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
xo .. ox .. ..&#x ♦ 4 | 2 0 4 | 0 0 0 4 0 | * * * * * * 240 * * | 0 0 0 0 2 0 0 2 0 0 | 0 1 2 0 1
xo .. .. .. xx&#x & ♦ 6 | 2 3 4 | 0 1 0 2 2 | * * * * * * * 960 * | 0 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1
.. .. .. oo3xx&#x ♦ 6 | 0 6 3 | 0 0 2 0 3 | * * * * * * * * 320 | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 2 1
-----------------------+-----+-------------+---------------------+-------------------------------------+-----------------------------------+--------------
x.3o.3o. *b3o. .. & ♦ 8 | 24 0 0 | 32 0 0 0 0 | 8 8 0 0 0 0 0 0 0 | 20 * * * * * * * * * | 1 1 0 0 0
x.3o.3o. .. x. & ♦ 8 | 12 4 0 | 8 6 0 0 0 | 2 0 4 0 0 0 0 0 0 | * 80 * * * * * * * * | 1 0 1 0 0
x.3o. .. *b3o.3x. & ♦ 20 | 30 30 0 | 20 30 20 0 0 | 5 10 10 5 0 0 0 0 0 | * * 32 * * * * * * * | 1 0 0 1 0
.. o.3o. *b3o.3x. & ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 0 5 0 0 0 0 | * * * 32 * * * * * * | 1 0 0 1 0
xo3oo3ox .. ..&#x ♦ 8 | 12 0 12 | 8 0 0 24 0 | 2 0 0 0 0 8 6 0 0 | * * * * 80 * * * * * | 0 1 1 0 0
xo3oo .. *b3oo ..&#x & ♦ 5 | 6 0 4 | 4 0 0 6 0 | 0 1 0 0 0 4 0 0 0 | * * * * * 160 * * * * | 0 1 0 1 0
xo3oo .. .. xx&#x & ♦ 8 | 6 4 6 | 2 3 0 6 3 | 0 0 1 0 0 2 0 3 0 | * * * * * * 320 * * * | 0 0 1 1 0
xo .. ox .. xx&#x ♦ 8 | 4 4 8 | 0 2 0 8 4 | 0 0 0 0 0 0 2 4 0 | * * * * * * * 240 * * | 0 0 1 0 1
xo .. .. oo3xx&#x & ♦ 9 | 3 9 6 | 0 3 3 3 6 | 0 0 0 1 0 0 0 3 2 | * * * * * * * * 320 * | 0 0 0 1 1
.. oo .. *b3oo3xx&#x ♦ 8 | 0 12 4 | 0 0 8 0 6 | 0 0 0 0 2 0 0 0 4 | * * * * * * * * * 80 | 0 0 0 2 0
-----------------------+-----+-------------+---------------------+-------------------------------------+-----------------------------------+--------------
x.3o.3o. *b3o.3x. & ♦ 80 | 240 160 0 | 320 240 160 0 0 | 80 80 160 80 80 0 0 0 0 | 10 40 16 16 0 0 0 0 0 0 | 2 * * * *
xo3oo3ox *b3oo ..&#x ♦ 16 | 48 0 32 | 64 0 0 96 0 | 16 16 0 0 0 64 24 0 0 | 2 0 0 0 8 16 0 0 0 0 | * 10 * * *
xo3oo3ox .. xx&#x ♦ 16 | 24 8 24 | 16 12 0 48 12 | 4 0 8 0 0 16 12 24 0 | 0 2 0 0 2 0 8 6 0 0 | * * 40 * *
xo3oo .. *b3oo3xx&#x & ♦ 25 | 30 40 20 | 20 30 30 30 30 | 0 5 10 10 10 20 0 30 20 | 0 0 1 1 0 5 10 0 10 5 | * * * 32 *
xo .. ox oo3xx&#x ♦ 12 | 6 12 12 | 0 6 4 12 12 | 0 0 0 2 0 0 3 12 4 | 0 0 0 0 0 0 0 3 4 0 | * * * * 80
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