Acronym | state |
Name |
stellar tettene, pentagrammic tettene, pentagram-pyramidal pyramid pyramid, triangle atop fully orthogonal pentagram |
Circumradius | sqrt[(1+sqrt(5))/8] = 0.636010 |
Dual | (topologically selfdual, in different orientation) |
Face vector | 8, 23, 32, 23, 8 |
Confer |
|
Incidence matrix according to Dynkin symbol
ooox5/2oooo&#x → height(1,2) = height(1,3) = height(2,3) = 1 height(1,4) = height(2,4) = height(3,4) = sqrt((5+sqrt(5))/10) = 0.850651 (pyramid product of {3} with {5/2}) o...5/2o... | 1 * * * ♦ 1 1 5 0 0 0 0 | 1 5 5 5 0 0 0 0 | 5 5 5 1 0 0 0 | 5 1 1 0 .o..5/2.o.. | * 1 * * ♦ 1 0 0 1 5 0 0 | 1 5 0 0 5 5 0 0 | 5 5 0 0 5 1 0 | 5 1 0 1 ..o.5/2..o. | * * 1 * ♦ 0 1 0 1 0 5 0 | 1 0 5 0 5 0 5 0 | 5 0 5 0 5 0 1 | 5 0 1 1 ...o5/2...o | * * * 5 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ---------------+---------+---------------+-----------------+---------------+-------- oo..5/2oo..&#x | 1 1 0 0 | 1 * * * * * * ♦ 1 5 0 0 0 0 0 0 | 5 5 0 0 0 0 0 | 5 1 0 0 o.o.5/2o.o.&#x | 1 0 1 0 | * 1 * * * * * ♦ 1 0 5 0 0 0 0 0 | 5 0 5 0 0 0 0 | 5 0 1 0 o..o5/2o..o&#x | 1 0 0 1 | * * 5 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 .oo.5/2.oo.&#x | 0 1 1 0 | * * * 1 * * * ♦ 1 0 0 0 5 0 0 0 | 5 0 0 0 5 0 0 | 5 0 0 1 .o.o5/2.o.o&#x | 0 1 0 1 | * * * * 5 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 ..oo5/2..oo&#x | 0 0 1 1 | * * * * * 5 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 ...x .... | 0 0 0 2 | * * * * * * 5 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ---------------+---------+---------------+-----------------+---------------+-------- ooo.5/2ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 5 0 0 0 0 0 0 | 5 0 0 0 oo.o5/2oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 5 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 o.oo5/2o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 5 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 5 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 .ooo5/2.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 5 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 .o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 5 * * | 0 1 0 0 1 1 0 | 1 1 0 1 ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 5 * | 0 0 1 0 1 0 1 | 1 0 1 1 ...x5/2...o | 0 0 0 5 | 0 0 0 0 0 0 5 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1 {5/2} ---------------+---------+---------------+-----------------+---------------+-------- oooo5/2oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 5 * * * * * * | 2 0 0 0 oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 5 * * * * * | 1 1 0 0 o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 5 * * * * | 1 0 1 0 o..x5/2o..o&#x ♦ 1 0 0 5 | 0 0 5 0 0 0 5 | 0 0 0 5 0 0 0 1 | * * * 1 * * * | 0 1 1 0 .oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 5 * * | 1 0 0 1 .o.x5/2.o.o&#x ♦ 0 1 0 5 | 0 0 0 0 5 0 5 | 0 0 0 0 0 5 0 1 | * * * * * 1 * | 0 1 0 1 ..ox5/2..oo&#x ♦ 0 0 1 5 | 0 0 0 0 0 5 5 | 0 0 0 0 0 0 5 1 | * * * * * * 1 | 0 0 1 1 ---------------+---------+---------------+-----------------+---------------+-------- ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 5 * * * oo.x5/2oo.o&#x ♦ 1 1 0 5 | 1 0 5 0 5 0 5 | 0 5 0 5 0 5 0 1 | 0 5 0 1 0 1 0 | * 1 * * o.ox5/2o.oo&#x ♦ 1 0 1 5 | 0 1 5 0 0 5 5 | 0 0 5 5 0 0 5 1 | 0 0 5 1 0 0 1 | * * 1 * .oox5/2.ooo&#x ♦ 0 1 1 5 | 0 0 0 1 5 5 5 | 0 0 0 0 5 5 5 1 | 0 0 0 0 5 1 1 | * * * 1
or o...5/2o... & | 3 * ♦ 2 5 0 | 1 10 5 0 | 5 10 1 | 5 2 ...o5/2...o | * 5 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 -----------------+-----+--------+-----------+--------+---- oo..5/2oo..&#x & | 2 0 | 3 * * ♦ 1 5 0 0 | 5 5 0 | 5 1 o..o5/2o..o&#x & | 1 1 | * 15 * | 0 2 2 0 | 1 4 1 | 2 2 ...x .... | 0 2 | * * 5 | 0 0 3 1 | 0 3 3 | 1 3 -----------------+-----+--------+-----------+--------+---- ooo.5/2ooo.&#x | 3 0 | 3 0 0 | 1 * * * | 5 0 0 | 3 0 oo.o5/2oo.o&#x & | 2 1 | 1 2 0 | * 15 * * | 1 2 0 | 2 1 o..x ....&#x & | 1 2 | 0 2 1 | * * 15 * | 0 2 1 | 1 2 ...x5/2...o | 0 5 | 0 0 5 | * * * 1 | 0 0 3 | 0 3 {5/2} -----------------+-----+--------+-----------+--------+---- oooo5/2oooo&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | 5 * * | 2 0 oo.x ....&#x & ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 15 * | 1 1 o..x5/2o..o&#x & ♦ 1 5 | 0 5 5 | 0 0 5 1 | * * 3 | 0 2 -----------------+-----+--------+-----------+--------+---- ooox ....&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 2 3 0 | 5 * oo.x5/2oo.o&#x & ♦ 2 5 | 1 10 5 | 0 5 10 1 | 0 5 2 | * 3
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