Acronym | hopu |
Name |
heptapeton-based ursaexon, hop-based ursulate, vertex figure of o3o3o3o3o3o4s3s |
Circumradius | sqrt[(25+9 sqrt(5))/40] = 1.062128 |
Inradius wrt. hop | sqrt[(55+63 sqrt(5))/280] = 0.836387 |
Inradius wrt. ril | sqrt[(63 sqrt(5)-25)/280] = 0.643296 |
Inradius wrt. hixu | sqrt[(15-sqrt(5))/440] = 0.170320 |
Face vector | 35, 175, 336, 350, 224, 84, 16 |
Confer |
|
Incidence matrix according to Dynkin symbol
ofx3xoo3ooo3ooo3ooo3ooo&#xt → height(1,2) = sqrt[sqrt(5)/7] = 0.565189 height(2,3) = sqrt[(5+3 sqrt(5))/14] = 0.914495 (ril || pseudo f-hop || hop) o..3o..3o..3o..3o..3o.. | 21 * * | 10 2 0 0 | 5 20 1 10 0 | 10 20 5 20 0 | 10 10 10 20 0 | 5 2 10 10 0 | 1 5 2 0 .o.3.o.3.o.3.o.3.o.3.o. | * 7 * | 0 6 1 0 | 0 0 6 15 0 | 0 0 15 20 0 | 0 0 20 15 0 | 0 0 15 6 0 | 0 6 1 0 ..o3..o3..o3..o3..o3..o | * * 7 | 0 0 1 6 | 0 0 6 0 15 | 0 0 15 0 20 | 0 0 20 0 15 | 0 0 15 0 6 | 0 6 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- ... x.. ... ... ... ... | 2 0 0 | 105 * * * | 1 4 0 1 0 | 4 6 1 4 0 | 6 4 4 6 0 | 4 1 6 4 0 | 1 4 1 0 oo.3oo.3oo.3oo.3oo.3oo.&#x | 1 1 0 | * 42 * * | 0 0 1 5 0 | 0 0 5 10 0 | 0 0 10 10 0 | 0 0 10 5 0 | 0 5 1 0 .oo3.oo3.oo3.oo3.oo3.oo&#x | 0 1 1 | * * 7 * ♦ 0 0 6 0 0 | 0 0 15 0 0 | 0 0 20 0 0 | 0 0 15 0 0 | 0 6 0 0 ..x ... ... ... ... ... | 0 0 2 | * * * 21 | 0 0 1 0 5 | 0 0 5 0 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 5 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- o..3x.. ... ... ... ... | 3 0 0 | 3 0 0 0 | 35 * * * * | 4 0 1 0 0 | 6 0 4 0 0 | 4 0 6 0 0 | 1 4 0 0 ... x..3o.. ... ... ... | 3 0 0 | 3 0 0 0 | * 140 * * * | 1 3 0 1 0 | 3 3 1 3 0 | 3 1 3 3 0 | 1 3 1 0 ofx ... ... ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 21 * * ♦ 0 0 5 0 0 | 0 0 10 0 0 | 0 0 10 0 0 | 0 5 0 0 ... xo. ... ... ... ...&#x | 2 1 0 | 1 2 0 0 | * * * 105 * | 0 0 1 4 0 | 0 0 4 6 0 | 0 0 6 4 0 | 0 4 1 0 ..x3..o ... ... ... ... | 0 0 3 | 0 0 0 3 | * * * * 35 | 0 0 1 0 4 | 0 0 4 0 6 | 0 0 6 0 4 | 0 4 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- o..3x..3o.. ... ... ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | 35 * * * * | 3 0 1 0 0 | 3 0 3 0 0 | 1 3 0 0 ... x..3o..3o.. ... ... ♦ 4 0 0 | 6 0 0 0 | 0 4 0 0 0 | * 105 * * * | 1 2 0 1 0 | 2 1 1 2 0 | 1 2 1 0 ofx3xoo ... ... ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * * 35 * * ♦ 0 0 4 0 0 | 0 0 6 0 0 | 0 4 0 0 ... xo.3oo. ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 3 0 | * * * 140 * | 0 0 1 3 0 | 0 0 3 3 0 | 0 3 1 0 ..x3..o3..o ... ... ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 35 | 0 0 1 0 3 | 0 0 3 0 3 | 0 3 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- o..3x..3o..3o.. ... ... ♦ 10 0 0 | 30 0 0 0 | 10 20 0 0 0 | 5 5 0 0 0 | 21 * * * * | 2 0 1 0 0 | 1 2 0 0 ... x..3o..3o..3o.. ... ♦ 5 0 0 | 10 0 0 0 | 0 10 0 0 0 | 0 5 0 0 0 | * 42 * * * | 1 1 0 1 0 | 1 1 1 0 ofx3xoo3ooo ... ... ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 6 12 4 | 1 0 4 4 1 | * * 35 * * | 0 0 3 0 0 | 0 3 0 0 ... xo.3oo.3oo. ... ...&#x ♦ 4 1 0 | 6 4 0 0 | 0 4 0 6 0 | 0 1 0 4 0 | * * * 105 * | 0 0 1 2 0 | 0 2 1 0 ..x3..o3..o3..o ... ... ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 21 | 0 0 1 0 2 | 0 2 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- o..3x..3o..3o..3o.. ... ♦ 15 0 0 | 60 0 0 0 | 20 60 0 0 0 | 15 30 0 0 0 | 6 6 0 0 0 | 7 * * * * | 1 1 0 0 ... x..3o..3o..3o..3o.. ♦ 6 0 0 | 15 0 0 0 | 0 20 0 0 0 | 0 15 0 0 0 | 0 6 0 0 0 | * 7 * * * | 1 0 1 0 ofx3xoo3ooo3ooo ... ...&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 | 5 5 10 20 5 | 1 0 5 5 1 | * * 21 * * | 0 2 0 0 ... xo.3oo.3oo.3oo. ...&#x ♦ 5 1 0 | 10 5 0 0 | 0 10 0 10 0 | 0 5 0 10 0 | 0 1 0 5 0 | * * * 42 * | 0 1 1 0 ..x3..o3..o3..o3..o ... ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 6 | * * * * 7 | 0 1 0 1 ----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+-------- o..3x..3o..3o..3o..3o.. ♦ 21 0 0 | 105 0 0 0 | 35 140 0 0 0 | 35 105 0 0 0 | 21 42 0 0 0 | 7 7 0 0 0 | 1 * * * ofx3xoo3ooo3ooo3ooo ...&#xt ♦ 15 6 6 | 60 30 6 15 | 20 60 15 60 20 | 15 30 20 60 15 | 6 6 15 30 6 | 1 0 6 6 1 | * 7 * * ... xo.3oo.3oo.3oo.3oo.&#x ♦ 6 1 0 | 15 6 0 0 | 0 20 0 15 0 | 0 15 0 20 0 | 0 6 0 15 0 | 0 1 0 6 0 | * * 7 * ..x3..o3..o3..o3..o3..o ♦ 0 0 7 | 0 0 0 21 | 0 0 0 0 35 | 0 0 0 0 35 | 0 0 0 0 21 | 0 0 0 0 7 | * * * 1
© 2004-2025 | top of page |