Acronym | iku |
Name |
(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 |
© | |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Lace city in approx. ASCII-art |
o5o o5x o5o f5o o5f o5x x5x x5o f5o o5f o5o x5o o5o |
x3o o3f f3o o3x with F=ff=f+x f3o o3F F3o o3f o3x x3f F3o f3f o3F f3x x3o | |
Dihedral angles | |
Face vector | 54, 162, 142, 34 |
Confer |
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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.
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
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