Acronym | icaf (alt.: icalicope) |
Name |
icositetrachoron antifastegium, icositetrachoron atop inverted icositetrachoral-prism |
Circumradius | sqrt[(6+2 sqrt(2))/7] = 1.123033 |
Lace city in approx. ASCII-art |
i I i where: i = x3o4o3o (ico) I = o3o4o3x (dual ico) |
o c Q c o -- o x3o4o3o (ico) O C O -- x o3o4o3x (dual icope) where: o = o o3o4o (point) c = o o3o4x (cube) O = x x3o4o (ope) Q = o q3o4o (q-oct) C = x o3x4o (cope) | |
Face vector | 72, 600, 1680, 2088, 1179, 243 |
Confer |
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Incidence matrix according to Dynkin symbol
ox xo3oo4oo3ox&#x → height = sqrt[4 sqrt(2)-5]/2 = 0.405233
(ico || dual icope)
o. o.3o.4o.3o. | 24 * ♦ 8 12 0 0 | 12 6 48 24 0 0 | 6 24 12 48 48 16 0 0 | 1 24 24 8 12 24 16 2 0 0 | 6 12 8 1 2 0
.o .o3.o4.o3.o | * 48 | 0 6 1 8 | 0 6 12 24 8 12 | 0 12 24 8 24 24 12 6 | 0 8 24 24 1 8 12 6 6 1 | 1 8 12 6 1 1
------------------+-------+---------------+-----------------------+------------------------------+----------------------------------+----------------
.. x. .. .. .. | 2 0 | 96 * * * | 3 0 6 0 0 0 | 3 3 0 12 6 0 0 0 | 1 6 3 0 6 6 2 0 0 0 | 3 3 1 0 2 0
oo oo3oo4oo3oo&#x | 1 1 | * 288 * * | 0 1 4 4 0 0 | 0 4 4 4 8 4 0 0 | 0 4 8 4 1 4 4 1 0 0 | 1 4 4 1 1 0
.x .. .. .. .. | 0 2 | * * 24 * | 0 6 0 0 8 0 | 0 12 24 0 0 0 12 0 | 0 8 24 24 0 0 0 0 6 0 | 1 8 12 6 0 1
.. .. .. .. .x | 0 2 | * * * 192 | 0 0 0 3 1 3 | 0 0 3 0 3 6 3 3 | 0 0 3 6 0 1 3 3 3 1 | 0 1 3 3 1 1
------------------+-------+---------------+-----------------------+------------------------------+----------------------------------+----------------
.. x.3o. .. .. | 3 0 | 3 0 0 0 | 96 * * * * * | 2 0 0 4 0 0 0 0 | 1 2 0 0 4 2 0 0 0 0 | 2 1 0 0 2 0
ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * 144 * * * * | 0 4 4 0 0 0 0 0 | 0 4 8 4 0 0 0 0 0 0 | 1 4 4 1 0 0
.. xo .. .. ..&#x | 2 1 | 1 2 0 0 | * * 576 * * * | 0 1 0 2 2 0 0 0 | 0 2 2 0 1 2 1 0 0 0 | 1 2 1 0 1 0
.. .. .. .. ox&#x | 1 2 | 0 2 0 1 | * * * 576 * * | 0 0 1 0 2 2 0 0 | 0 0 2 2 0 1 2 1 0 0 | 0 1 2 1 1 0
.x .. .. .. .x | 0 4 | 0 0 2 2 | * * * * 96 * | 0 0 3 0 0 0 3 0 | 0 0 3 6 0 0 0 0 3 0 | 0 1 3 3 0 1
.. .. .. .o3.x | 0 3 | 0 0 0 3 | * * * * * 192 | 0 0 0 0 0 2 1 2 | 0 0 0 2 0 0 1 2 2 1 | 0 0 1 2 1 1
------------------+-------+---------------+-----------------------+------------------------------+----------------------------------+----------------
.. x.3o.4o. .. ♦ 6 0 | 12 0 0 0 | 8 0 0 0 0 0 | 24 * * * * * * * | 1 0 0 0 2 0 0 0 0 0 | 1 0 0 0 2 0
ox xo .. .. ..&#x ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 0 | * 288 * * * * * * | 0 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0
ox .. .. .. ox&#x ♦ 1 4 | 0 4 2 2 | 0 2 0 2 1 0 | * * 288 * * * * * | 0 0 2 2 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xo3oo .. ..&#x ♦ 3 1 | 3 3 0 0 | 1 0 3 0 0 0 | * * * 384 * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 0 0 1 0
.. xo .. .. ox&#x ♦ 2 2 | 1 4 0 1 | 0 0 2 2 0 0 | * * * * 576 * * * | 0 0 1 0 0 1 1 0 0 0 | 0 1 1 0 1 0
.. .. .. oo3ox&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 3 0 1 | * * * * * 384 * * | 0 0 0 1 0 0 1 1 0 0 | 0 0 1 1 1 0
.x .. .. .o3.x ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 | * * * * * * 96 * | 0 0 0 2 0 0 0 0 2 0 | 0 0 1 2 0 1
.. .. .o4.o3.x ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 8 | * * * * * * * 48 | 0 0 0 0 0 0 0 1 1 1 | 0 0 0 1 1 1
------------------+-------+---------------+-----------------------+------------------------------+----------------------------------+----------------
.. x.3o.4o.3o. ♦ 24 0 | 96 0 0 0 | 96 0 0 0 0 0 | 24 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 0 2 0
ox xo3oo .. ..&#x ♦ 3 2 | 3 6 1 0 | 1 3 6 0 0 0 | 0 3 0 2 0 0 0 0 | * 192 * * * * * * * * | 1 1 0 0 0 0
ox xo .. .. ox&#x ♦ 2 4 | 1 8 2 2 | 0 4 4 4 1 0 | 0 2 2 0 2 0 0 0 | * * 288 * * * * * * * | 0 1 1 0 0 0
ox .. .. oo3ox&#x ♦ 1 6 | 0 6 3 6 | 0 3 0 6 3 2 | 0 0 3 0 0 2 1 0 | * * * 192 * * * * * * | 0 0 1 1 0 0
.. xo3oo4oo ..&#x ♦ 6 1 | 12 6 0 0 | 8 0 12 0 0 0 | 1 0 0 8 0 0 0 0 | * * * * 48 * * * * * | 1 0 0 0 1 0
.. xo3oo .. ox&#x ♦ 3 2 | 3 6 0 1 | 1 0 6 3 0 0 | 0 0 0 2 3 0 0 0 | * * * * * 192 * * * * | 0 1 0 0 1 0
.. xo .. oo3ox&#x ♦ 2 3 | 1 6 0 3 | 0 0 3 6 0 1 | 0 0 0 0 3 2 0 0 | * * * * * * 192 * * * | 0 0 1 0 1 0
.. .. oo4oo3ox&#x ♦ 1 6 | 0 6 0 12 | 0 0 0 12 0 8 | 0 0 0 0 0 8 0 1 | * * * * * * * 48 * * | 0 0 0 1 1 0
.x .. .o4.o3.x ♦ 0 12 | 0 0 6 24 | 0 0 0 0 12 16 | 0 0 0 0 0 0 8 2 | * * * * * * * * 24 * | 0 0 0 1 0 1
.. .o3.o4.o3.x ♦ 0 24 | 0 0 0 96 | 0 0 0 0 0 96 | 0 0 0 0 0 0 0 24 | * * * * * * * * * 2 | 0 0 0 0 1 1
------------------+-------+---------------+-----------------------+------------------------------+----------------------------------+----------------
ox xo3oo4oo ..&#x ♦ 6 2 | 12 12 1 0 | 8 6 24 0 0 0 | 1 12 0 16 0 0 0 0 | 0 8 0 0 2 0 0 0 0 0 | 24 * * * * *
ox xo3oo .. ox&#x ♦ 3 4 | 3 12 2 2 | 1 6 12 6 1 0 | 0 6 3 4 6 0 0 0 | 0 2 3 0 0 2 0 0 0 0 | * 96 * * * *
ox xo .. oo3ox&#x ♦ 2 6 | 1 12 3 6 | 0 6 6 12 3 2 | 0 3 6 0 6 4 1 0 | 0 0 3 2 0 0 2 0 0 0 | * * 96 * * *
ox .. oo4oo3ox&#x ♦ 1 12 | 0 12 6 24 | 0 6 0 24 12 16 | 0 0 12 0 0 16 8 2 | 0 0 0 8 0 0 0 2 1 0 | * * * 24 * *
.. xo3oo4oo3ox&#x ♦ 24 24 | 96 144 0 96 | 96 0 288 288 0 96 | 24 0 0 192 288 192 0 24 | 1 0 0 0 24 96 96 24 0 1 | * * * * 2 *
.x .o3.o4.o3.x ♦ 0 48 | 0 0 24 192 | 0 0 0 0 96 192 | 0 0 0 0 0 0 96 48 | 0 0 0 0 0 0 0 0 24 2 | * * * * * 1
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