Acronym | toagircoatic |
Name | toe atop girco atop tic |
Lace city in approx. ASCII-art |
o4x o4u q4x o4u o4x x4x x4u w4x w4x x4u x4x x4x w4o w4o x4x |
Dihedral angles
(at margins) |
|
Face vector | 96, 240, 198, 54 |
Confer |
|
This polychoron is a mere stack of 2 segmentochora. None the less it is special in that all dihedrals of the rim independently equate to 90°.
Incidence matrix according to Dynkin symbol
xxo3xxx4oxx&#xt → height(1,2) = 1/2 height(2,3) = 1/sqrt(2) = 0.707107 (toe || pseudo girco || tic) o..3o..4o.. | 24 * * | 1 2 2 0 0 0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0 .o.3.o.4.o. | * 48 * | 0 0 1 1 1 1 1 0 0 | 0 0 1 1 1 1 1 1 1 1 1 0 0 | 0 1 1 1 1 1 1 0 ..o3..o4..o | * * 24 | 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 1 2 2 1 2 | 0 0 0 0 1 1 2 1 ---------------+----------+----------------------------+----------------------------------+------------------ x.. ... ... | 2 0 0 | 12 * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 ... x.. ... | 2 0 0 | * 24 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0 oo.3oo.4oo.&#x | 1 1 0 | * * 48 * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 .x. ... ... | 0 2 0 | * * * 24 * * * * * | 0 0 1 0 0 1 1 0 1 0 0 0 0 | 0 1 1 0 1 1 0 0 ... .x. ... | 0 2 0 | * * * * 24 * * * * | 0 0 0 1 0 1 0 1 0 1 0 0 0 | 0 1 0 1 1 0 1 0 ... ... .x. | 0 2 0 | * * * * * 24 * * * | 0 0 0 0 1 0 1 1 0 0 1 0 0 | 0 0 1 1 0 1 1 0 .oo3.oo4.oo&#x | 0 1 1 | * * * * * * 48 * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 0 1 1 1 0 ... ..x ... | 0 0 2 | * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 0 1 1 ... ... ..x | 0 0 2 | * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 0 1 2 1 ---------------+----------+----------------------------+----------------------------------+------------------ x..3x.. ... | 6 0 0 | 3 3 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ... x..4o.. | 4 0 0 | 0 4 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 xx. ... ...&#x | 2 2 0 | 1 0 2 1 0 0 0 0 0 | * * 24 * * * * * * * * * * | 0 1 1 0 0 0 0 0 ... xx. ...&#x | 2 2 0 | 0 1 2 0 1 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 0 1 0 0 0 0 ... ... ox.&#x | 1 2 0 | 0 0 2 0 0 1 0 0 0 | * * * * 24 * * * * * * * * | 0 0 1 1 0 0 0 0 .x.3.x. ... | 0 6 0 | 0 0 0 3 3 0 0 0 0 | * * * * * 8 * * * * * * * | 0 1 0 0 1 0 0 0 .x. ... .x. | 0 4 0 | 0 0 0 2 0 2 0 0 0 | * * * * * * 12 * * * * * * | 0 0 1 0 0 1 0 0 ... .x.4.x. | 0 8 0 | 0 0 0 0 4 4 0 0 0 | * * * * * * * 6 * * * * * | 0 0 0 1 0 0 1 0 .xo ... ...&#x | 0 2 1 | 0 0 0 1 0 0 2 0 0 | * * * * * * * * 24 * * * * | 0 0 0 0 1 1 0 0 ... .xx ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 | * * * * * * * * * 24 * * * | 0 0 0 0 1 0 1 0 ... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * 24 * * | 0 0 0 0 0 1 1 0 ..o3..x ... | 0 0 3 | 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * 8 * | 0 0 0 0 1 0 0 1 ... ..x4..x | 0 0 8 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 6 | 0 0 0 0 0 0 1 1 ---------------+----------+----------------------------+----------------------------------+------------------ x..3x..4o.. ♦ 24 0 0 | 12 24 0 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * xx.3xx. ...&#x ♦ 6 6 0 | 3 3 6 3 3 0 0 0 0 | 1 0 3 3 0 1 0 0 0 0 0 0 0 | * 8 * * * * * * xx. ... ox.&#x ♦ 2 4 0 | 1 0 4 2 0 2 0 0 0 | 0 0 2 0 2 0 1 0 0 0 0 0 0 | * * 12 * * * * * ... xx.4ox.&#x ♦ 4 8 0 | 0 4 8 0 4 4 0 0 0 | 0 1 0 4 4 0 0 1 0 0 0 0 0 | * * * 6 * * * * .xo3.xx ...&#x ♦ 0 6 3 | 0 0 0 3 3 0 6 3 0 | 0 0 0 0 0 1 0 0 3 3 0 1 0 | * * * * 8 * * * .xo ... .xx&#x ♦ 0 4 2 | 0 0 0 2 0 2 4 0 1 | 0 0 0 0 0 0 1 0 2 0 2 0 0 | * * * * * 12 * * ... .xx4.xx&#x ♦ 0 8 8 | 0 0 0 0 4 4 8 4 4 | 0 0 0 0 0 0 0 1 0 4 4 0 1 | * * * * * * 6 * ..o3..x4..x ♦ 0 0 24 | 0 0 0 0 0 0 0 24 12 | 0 0 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * 1
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