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Acronym
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iku
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Name
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(1,0,20,0,0)-diminished vertex-first-rotunda of ex,
(full-symmetrical) icosiena-diminished vertex-first-rotunda of ex,
axially-icosahedral ursachoron ofx3xoo5ooo&#xt,
ike-based ursulate
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 ©
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Circumradius
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(1+sqrt(5))/2 = 1.618034
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Lace city
in approx. ASCII-art
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o5o
o5x
o5o
f5o
o5f
o5x
x5x
x5o
f5o
o5f
o5o
x5o
o5o
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x3o o3f f3o o3x
with
F=ff=f+x
f3o o3F F3o o3f
o3x x3f F3o f3f o3F f3x x3o
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Dihedral angles
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Face vector
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54, 162, 142, 34
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Confer
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- related CRFs:
-
tetu
octu
id || f-ike || ike || pt
vertex-first rotunda of ex
ike || doe || id
42-dim. ex
- uniform relative:
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ex
- general polytopal classes:
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ursachora
bistratic lace towers
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The axial top-vertex and all 20 vertices of the inscribed doe-layer of the
rotunda of ex are missing here. The doe-vertices are already close enough,
so that their individual sefas will intersect, resulting in likewise
diminished ikes: in teddies.
The height of the first below given stratos shows that 2 such ikus can be adjoined at their larger bases each,
while the then occuring dimples still can be filled up with 12 pescs, so that the result still remains a CRF.
This clearly becomes clear from its derivation from ex directly, as this simply results in the 42-dim. ex.
Incidence matrix according to Dynkin symbol
ofx3xoo5ooo&#xt → height(1,2) = 1/2
height(2,3) = (1+sqrt(5))/4 = 0.809017
(id || pseudo f-ike || ike)
o..3o..5o.. | 30 * * | 4 2 0 0 | 2 2 1 4 0 | 1 2 2 0
.o.3.o.5.o. | * 12 * | 0 5 1 0 | 0 0 5 5 0 | 0 5 1 0
..o3..o5..o | * * 12 | 0 0 1 5 | 0 0 5 0 5 | 0 5 0 1
----------------+----------+-------------+----------------+----------
... x.. ... | 2 0 0 | 60 * * * | 1 1 0 1 0 | 1 1 1 0
oo.3oo.5oo.&#x | 1 1 0 | * 60 * * | 0 0 1 2 0 | 0 2 1 0
.oo3.oo5.oo&#x | 0 1 1 | * * 12 * | 0 0 5 0 0 | 0 5 0 0
..x ... ... | 0 0 2 | * * * 30 | 0 0 1 0 2 | 0 2 0 1
----------------+----------+-------------+----------------+----------
o..3x.. ... | 3 0 0 | 3 0 0 0 | 20 * * * * | 1 1 0 0
... x..5o.. | 5 0 0 | 5 0 0 0 | * 12 * * * | 1 0 1 0
ofx ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 30 * * | 0 2 0 0
... xo. ...&#x | 2 1 0 | 1 2 0 0 | * * * 60 * | 0 1 1 0
..x3..o ... | 0 0 3 | 0 0 0 3 | * * * * 20 | 0 1 0 1
----------------+----------+-------------+----------------+----------
o..3x..5o.. ♦ 30 0 0 | 60 0 0 0 | 20 12 0 0 0 | 1 * * *
ofx3xoo ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * 20 * *
... xo.5oo.&#x ♦ 5 1 0 | 5 5 0 0 | 0 1 0 5 0 | * * 12 *
..x3..o5..o ♦ 0 0 12 | 0 0 0 30 | 0 0 0 0 20 | * * * 1