Acronym | hosiap |
Name |
hollow stellated icosatetrachoric antiprism, pseudo stico atop pseudo stico |
Circumradius | sqrt(5/8) = 0.790569 |
Lace city in approx. ASCII-art |
o s O s o -- pseudo xoo3ooo3oxo *b3oox (being removed stico = 3 hex compound) o s O s o -- pseudo xoo3ooo3oxo *b3oox (being removed stico = 3 hex compound) where: o = o3o3o (point) s = xo3oo3ox (so) O = o3x3o (oct) |
General of army | icope |
Face vector | 48, 336, 768, 624, 144 |
Confer | |
External links |
This uniform polyteron can be obtained as the blend of 6 hins, each being considered as the segmentoteron hex || gyro hex, thereby producing a double covered stico on either base, which then get withdrawn. In fact, this non-reduced blend in turn is nothing but the holosnub of gico.
Both pseudo bases are aligned parallel in the same orientation. But its height is a bit smaller than that for the stico prism. Rather it belongs to the army of a 1/sqrt(2)-scaled icope.
Incidence matrix according to Dynkin symbol
reduced( (xoo)(xoo)3(ooo)(ooo)3(oxo)(oxo) *b3(oox)(oox)&#x by both sticoes) → height = 1/sqrt(2) = 0.707107
(shallower version of pseudo stico || pseudo stico)
(o..)(...)3(o..)(...)3(o..)(...) *b3(o..)(...) & | 48 ♦ 6 8 | 12 36 | 8 32 12 | 8 10
----------------------------------------------------+----+---------+---------+------------+------
(x..)(...) (...)(...) (...)(...) (...)(...) & | 2 | 144 * ♦ 4 4 | 4 8 2 | 4 4
(o..)(.o.)3(o..)(.o.)3(o..)(.o.) *b3(o..)(.o.)&#x & | 2 | * 192 ♦ 0 6 | 0 6 3 | 3 2
----------------------------------------------------+----+---------+---------+------------+------
(x..)(...)3(o..)(...) (...)(...) (...)(...) & | 3 | 3 0 | 192 * | 2 2 0 | 2 2
(x..)(.o.) (...)(...) (...)(...) (...)(...)&#x & | 3 | 1 2 | * 576 | 0 2 1 | 2 1
----------------------------------------------------+----+---------+---------+------------+------
(x..)(...)3(o..)(...)3(o..)(...) (...)(...) & ♦ 4 | 6 0 | 4 0 | 96 * * | 1 1
(x..)(.o.)3(o..)(.o.) (...)(...) (...)(...)&#x & ♦ 4 | 3 3 | 1 3 | * 384 * | 1 1
(x..)(.o.) (...)(...) (o..)(.x.) (...)(...)&#x & ♦ 4 | 2 4 | 0 4 | * * 144 | 2 0
----------------------------------------------------+----+---------+---------+------------+------
(x..)(.o.)3(o..)(.o.)3(o..)(.x.) (...)(...)&#x & ♦ 8 | 12 12 | 8 24 | 2 8 6 | 48 *
(x..)(.o.)3(o..)(.o.) (...)(...) *b3(o..)(.o.)&#x & ♦ 5 | 6 4 | 4 6 | 1 4 0 | * 96
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