Acronym ica tutcup, ico || tutcup
Name icositetrachoron atop truncated-tetrahedral-cupoliprism
Circumradius sqrt(3/2) = 1.224745
Lace city
in approx. ASCII-art
   x3x3o o3x3x   
   A             
                 
o3x3o x3o3x o3x3o
B     C
Face vector 48, 228, 304, 148, 26
Confer
uniform relative:
nit  
related segmentotera:
icarit   coa tutcup   octco tuttric  
related CRFs:
mibdinit  
general polytopal classes:
segmentotera  

Incidence matrix

(tuta || ico)   → height = 1/sqrt(2) = 0.707107

24  *  * |  1  2  2  1  2  0  0  0 | 2 1  3  2  1  2  2  2  1  2 0 0  0  0  0 0 | 1 3 2  2 1 1  3  2  1 1 0 0 0 0 | 1 1 3 1 1 0 A
 * 12  * |  0  0  0  2  0  4  4  0 | 0 0  0  0  1  4  4  0  0  0 2 2  2  2  4 0 | 0 0 2  0 0 2  2  4  2 0 1 2 2 1 | 0 1 2 1 2 1 B
 *  * 12 |  0  0  0  0  4  0  4  4 | 0 0  0  0  0  0  4  2  4  2 0 0  4  4  2 2 | 0 0 0  1 0 0  4  2  4 2 0 2 2 2 | 0 0 2 2 2 1 C
---------+-------------------------+--------------------------------------------+---------------------------------+------------
 2  0  0 | 12  *  *  *  *  *  *  * | 2 0  2  0  1  0  0  0  0  0 0 0  0  0  0 0 | 1 2 2  0 1 0  2  0  0 0 0 0 0 0 | 1 1 2 1 0 0 (6-6 ones of tut)
 2  0  0 |  * 24  *  *  *  *  *  * | 1 1  0  1  0  1  0  1  0  0 0 0  0  0  0 0 | 1 2 1  1 0 1  0  1  0 1 0 0 0 0 | 1 1 2 0 1 0 (3-6 ones of tut)
 2  0  0 |  *  * 24  *  *  *  *  * | 0 0  2  1  0  0  0  0  0  1 0 0  0  0  0 0 | 0 2 0  1 1 0  2  0  0 0 0 0 0 0 | 1 0 2 1 0 0 (inter tut ones)
 1  1  0 |  *  *  * 24  *  *  *  * | 0 0  0  0  1  2  2  0  0  0 0 0  0  0  0 0 | 0 0 2  0 0 1  2  2  1 0 0 0 0 0 | 0 1 2 1 1 0
 1  0  1 |  *  *  *  * 48  *  *  * | 0 0  0  0  0  0  1  1  1  1 0 0  0  0  0 0 | 0 0 0  1 0 0  2  1  1 1 0 0 0 0 | 0 0 2 1 1 0
 0  2  0 |  *  *  *  *  * 24  *  * | 0 0  0  0  0  1  0  0  0  0 1 1  0  0  1 0 | 0 0 1  0 0 1  0  1  0 0 1 1 1 0 | 0 1 1 0 1 1
 0  1  1 |  *  *  *  *  *  * 48  * | 0 0  0  0  0  0  1  0  0  0 0 0  1  1  1 0 | 0 0 0  0 0 0  1  1  1 0 0 1 1 1 | 0 0 1 1 1 1
 0  0  2 |  *  *  *  *  *  *  * 24 | 0 0  0  0  0  0  0  0  1  0 0 0  1  1  0 1 | 0 0 0  0 0 0  1  0  1 1 0 1 1 1 | 0 0 1 1 1 1
---------+-------------------------+--------------------------------------------+---------------------------------+------------
 6  0  0 |  3  3  0  0  0  0  0  0 | 8 *  *  *  *  *  *  *  *  * * *  *  *  * * | 1 1 1  0 0 0  0  0  0 0 0 0 0 0 | 1 1 1 0 0 0
 3  0  0 |  0  3  0  0  0  0  0  0 | * 8  *  *  *  *  *  *  *  * * *  *  *  * * | 1 1 0  0 0 1  0  0  0 1 0 0 0 0 | 1 1 1 0 1 0 (within tut)
 3  0  0 |  1  0  2  0  0  0  0  0 | * * 24  *  *  *  *  *  *  * * *  *  *  * * | 0 1 0  0 1 0  1  0  0 0 0 0 0 0 | 1 0 1 1 0 0 (between tuts)
 4  0  0 |  0  2  2  0  0  0  0  0 | * *  * 12  *  *  *  *  *  * * *  *  *  * * | 0 2 0  1 0 0  0  0  0 0 0 0 0 0 | 1 0 2 0 0 0
 2  1  0 |  1  0  0  2  0  0  0  0 | * *  *  * 12  *  *  *  *  * * *  *  *  * * | 0 0 2  0 0 0  2  0  0 0 0 0 0 0 | 0 1 2 1 0 0
 2  2  0 |  0  1  0  2  0  1  0  0 | * *  *  *  * 24  *  *  *  * * *  *  *  * * | 0 0 1  0 0 1  0  1  0 0 0 0 0 0 | 0 1 1 0 1 0
 1  1  1 |  0  0  0  1  1  0  1  0 | * *  *  *  *  * 48  *  *  * * *  *  *  * * | 0 0 0  0 0 0  1  1  1 0 0 0 0 0 | 0 0 1 1 1 0
 2  0  1 |  0  1  0  0  2  0  0  0 | * *  *  *  *  *  * 24  *  * * *  *  *  * * | 0 0 0  1 0 0  0  1  0 1 0 0 0 0 | 0 0 2 0 1 0 (connect. med. nodes of lace city display)
 1  0  2 |  0  0  0  0  2  0  0  1 | * *  *  *  *  *  *  * 24  * * *  *  *  * * | 0 0 0  0 0 0  1  0  1 1 0 0 0 0 | 0 0 1 1 1 0
 2  0  1 |  0  0  1  0  2  0  0  0 | * *  *  *  *  *  *  *  * 24 * *  *  *  * * | 0 0 0  1 0 0  2  0  0 0 0 0 0 0 | 0 0 2 1 0 0 (using inter tut edge)
 0  3  0 |  0  0  0  0  0  3  0  0 | * *  *  *  *  *  *  *  *  * 8 *  *  *  * * | 0 0 1  0 0 0  0  0  0 0 1 1 0 0 | 0 1 1 0 0 1 (AB-tricu inc.)
 0  3  0 |  0  0  0  0  0  3  0  0 | * *  *  *  *  *  *  *  *  * * 8  *  *  * * | 0 0 0  0 0 1  0  0  0 0 1 0 1 0 | 0 1 0 0 1 1 (AB-trip inc)
 0  1  2 |  0  0  0  0  0  0  2  1 | * *  *  *  *  *  *  *  *  * * * 24  *  * * | 0 0 0  0 0 0  1  0  0 0 0 1 0 1 | 0 0 1 1 0 1 (outer nodes of lace city display)
 0  1  2 |  0  0  0  0  0  0  2  1 | * *  *  *  *  *  *  *  *  * * *  * 24  * * | 0 0 0  0 0 0  0  0  1 0 0 0 1 1 | 0 0 0 1 1 1 (inner nodes of lace city display)
 0  2  1 |  0  0  0  0  0  1  2  0 | * *  *  *  *  *  *  *  *  * * *  *  * 24 * | 0 0 0  0 0 0  0  1  0 0 0 1 1 0 | 0 0 1 0 1 1
 0  0  3 |  0  0  0  0  0  0  0  3 | * *  *  *  *  *  *  *  *  * * *  *  *  * 8 | 0 0 0  0 0 0  0  0  0 1 0 1 1 0 | 0 0 1 0 1 1
---------+-------------------------+--------------------------------------------+---------------------------------+------------
12  0  0 |  6 12  0  0  0  0  0  0 | 4 4  0  0  0  0  0  0  0  0 0 0  0  0  0 0 | 2 * *  * * *  *  *  * * * * * * | 1 1 0 0 0 0 tut
 9  0  0 |  3  6  6  0  0  0  0  0 | 1 1  3  3  0  0  0  0  0  0 0 0  0  0  0 0 | * 8 *  * * *  *  *  * * * * * * | 1 0 1 0 0 0 tricu
 6  3  0 |  3  3  0  6  0  3  0  0 | 1 0  0  0  3  3  0  0  0  0 1 0  0  0  0 0 | * * 8  * * *  *  *  * * * * * * | 0 1 1 0 0 0 tricu
 4  0  1 |  0  2  2  0  4  0  0  0 | 0 0  0  1  0  0  0  2  0  2 0 0  0  0  0 0 | * * * 12 * *  *  *  * * * * * * | 0 0 2 0 0 0 squippy
 4  0  0 |  2  0  4  0  0  0  0  0 | 0 0  4  0  0  0  0  0  0  0 0 0  0  0  0 0 | * * *  * 6 *  *  *  * * * * * * | 1 0 0 1 0 0 tet
 3  3  0 |  0  3  0  3  0  3  0  0 | 0 1  0  0  0  3  0  0  0  0 0 1  0  0  0 0 | * * *  * * 8  *  *  * * * * * * | 0 1 0 0 1 0 trip
 3  1  2 |  1  0  2  2  4  0  2  1 | 0 0  1  0  1  0  2  0  1  2 0 0  1  0  0 0 | * * *  * * * 24  *  * * * * * * | 0 0 1 1 0 0 oct
 2  2  1 |  0  1  0  2  2  1  2  0 | 0 0  0  0  0  1  2  1  0  0 0 0  0  0  1 0 | * * *  * * *  * 24  * * * * * * | 0 0 1 0 1 0 squippy
 1  1  2 |  0  0  0  1  2  0  2  1 | 0 0  0  0  0  0  2  0  1  0 0 0  0  1  0 0 | * * *  * * *  *  * 24 * * * * * | 0 0 0 1 1 0 tet
 3  0  3 |  0  3  0  0  6  0  0  3 | 0 1  0  0  0  0  0  3  3  0 0 0  0  0  0 1 | * * *  * * *  *  *  * 8 * * * * | 0 0 1 0 1 0 oct
 0  6  0 |  0  0  0  0  0 12  0  0 | 0 0  0  0  0  0  0  0  0  0 4 4  0  0  0 0 | * * *  * * *  *  *  * * 2 * * * | 0 1 0 0 0 1 oct
 0  3  3 |  0  0  0  0  0  3  6  3 | 0 0  0  0  0  0  0  0  0  0 1 0  3  0  3 1 | * * *  * * *  *  *  * * * 8 * * | 0 0 1 0 0 1 oct
 0  3  3 |  0  0  0  0  0  3  6  3 | 0 0  0  0  0  0  0  0  0  0 0 1  0  3  3 1 | * * *  * * *  *  *  * * * * 8 * | 0 0 0 0 1 1 oct
 0  2  4 |  0  0  0  0  0  0  8  4 | 0 0  0  0  0  0  0  0  0  0 0 0  4  4  0 0 | * * *  * * *  *  *  * * * * * 6 | 0 0 0 1 0 1 oct
---------+-------------------------+--------------------------------------------+---------------------------------+------------
24  0  0 | 12 24 24  0  0  0  0  0 | 8 8 24 12  0  0  0  0  0  0 0 0  0  0  0 0 | 2 8 0  0 6 0  0  0  0 0 0 0 0 0 | 1 * * * * * tuta
12  6  0 |  6 12  0 12  0 12  0  0 | 4 4  0  0  6 12  0  0  0  0 4 4  0  0  0 0 | 1 0 4  0 0 4  0  0  0 0 1 0 0 0 | * 2 * * * * octatut
 9  3  3 |  3  6  6  6 12  3  6  3 | 1 1  3  3  3  3  6  6  3  6 1 0  3  0  3 1 | 0 1 1  3 0 0  3  3  0 1 0 1 0 0 | * * 8 * * * octatricu
 4  2  4 |  2  0  4  4  8  0  8  4 | 0 0  4  0  2  0  8  0  4  4 0 0  4  4  0 0 | 0 0 0  0 1 0  4  0  4 0 0 0 0 1 | * * * 6 * * rap
 3  3  3 |  0  3  0  3  6  3  6  3 | 0 1  0  0  0  3  6  3  3  0 0 1  0  3  3 1 | 0 0 0  0 0 1  0  3  3 1 0 0 1 0 | * * * * 8 * traf
 0 12 12 |  0  0  0  0  0 24 48 24 | 0 0  0  0  0  0  0  0  0  0 8 8 24 24 24 8 | 0 0 0  0 0 0  0  0  0 0 2 8 8 6 | * * * * * 1 ico

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