Acronym | sril |
Name |
small rhombated heptapeton, cantellated heptapeton |
Circumradius | sqrt(13/7) = 1.362770 |
Lace city in approx. ASCII-art |
x3o3o3o o3x3o3o -- o3x3o3o3o (rix) x3o3o3o u3o3o3o x3x3o3o -- x3x3o3o3o (tix) o3x3o3o x3x3o3o x3o3x3o -- x3o3x3o3o (sarx) |
Face vector | 105, 525, 805, 560, 210, 35 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o3x3o3o3o . . . . . . | 105 | 2 8 | 1 8 4 12 | 4 12 6 8 | 6 8 4 2 | 4 2 1 ------------+-----+---------+----------------+----------------+--------------+------- x . . . . . | 2 | 105 * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0 . . x . . . | 2 | * 420 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ------------+-----+---------+----------------+----------------+--------------+------- x3o . . . . | 3 | 3 0 | 35 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0 x . x . . . | 4 | 2 2 | * 210 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . o3x . . . | 3 | 0 3 | * * 140 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x3o . . | 3 | 0 3 | * * * 420 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+-----+---------+----------------+----------------+--------------+------- x3o3x . . . ♦ 12 | 12 12 | 4 6 4 0 | 35 * * * | 3 0 0 0 | 3 0 0 x . x3o . . ♦ 6 | 3 6 | 0 3 0 2 | * 210 * * | 1 2 0 0 | 2 1 0 . o3x3o . . ♦ 6 | 0 12 | 0 0 4 4 | * * 105 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * 210 | 0 1 1 1 | 1 1 1 ------------+-----+---------+----------------+----------------+--------------+------- x3o3x3o . . ♦ 30 | 30 60 | 10 30 20 20 | 5 10 5 0 | 21 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 12 | 0 6 0 8 | 0 4 0 2 | * 105 * * | 1 1 0 . o3x3o3o . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 5 5 | * * 42 * | 1 0 1 . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 42 | 0 1 1 ------------+-----+---------+----------------+----------------+--------------+------- x3o3x3o3o . ♦ 60 | 60 180 | 20 90 60 120 | 15 60 30 30 | 6 15 6 0 | 7 * * x . x3o3o3o ♦ 10 | 5 20 | 0 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 21 * . o3x3o3o3o ♦ 15 | 0 60 | 0 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 7
oxx3xxo3oox3ooo3ooo&#xt → all heights = sqrt(7/12) = 0.763763 (rix || pseudo tix || sarx) o..3o..3o..3o..3o.. | 15 * * | 8 2 0 0 0 0 0 | 4 12 1 8 0 0 0 0 0 0 0 0 | 6 8 4 12 0 0 0 0 0 0 0 0 | 4 2 6 8 0 0 0 0 0 0 0 | 1 4 2 0 0 0 .o.3.o.3.o.3.o.3.o. | * 30 * | 0 1 1 4 4 0 0 | 0 0 1 4 6 4 4 6 0 0 0 0 | 0 0 4 6 4 6 6 4 0 0 0 0 | 0 0 6 4 1 4 4 1 0 0 0 | 0 4 1 1 1 0 ..o3..o3..o3..o3..o | * * 60 | 0 0 0 0 2 2 6 | 0 0 0 0 0 2 1 6 1 6 3 6 | 0 0 1 0 0 6 3 6 3 6 3 2 | 0 0 3 0 0 6 3 2 3 2 1 | 0 3 0 2 1 1 ------------------------+----------+------------------------+---------------------------------------+--------------------------------------+-----------------------------+------------- ... x.. ... ... ... | 2 0 0 | 60 * * * * * * | 1 3 0 1 0 0 0 0 0 0 0 0 | 3 3 1 3 0 0 0 0 0 0 0 0 | 3 1 3 3 0 0 0 0 0 0 0 | 1 3 1 0 0 0 oo.3oo.3oo.3oo.3oo.&#x | 1 1 0 | * 30 * * * * * | 0 0 1 4 0 0 0 0 0 0 0 0 | 0 0 4 6 0 0 0 0 0 0 0 0 | 0 0 6 4 0 0 0 0 0 0 0 | 0 4 1 0 0 0 .x. ... ... ... ... | 0 2 0 | * * 15 * * * * | 0 0 1 0 0 4 0 0 0 0 0 0 | 0 0 4 0 0 6 0 0 0 0 0 0 | 0 0 6 0 0 4 0 0 0 0 0 | 0 4 0 1 0 0 ... .x. ... ... ... | 0 2 0 | * * * 60 * * * | 0 0 0 1 3 0 1 0 0 0 0 0 | 0 0 1 3 3 0 3 0 0 0 0 0 | 0 0 3 3 1 0 3 0 0 0 0 | 0 3 1 0 1 0 .oo3.oo3.oo3.oo3.oo&#x | 0 1 1 | * * * * 120 * * | 0 0 0 0 0 1 1 3 0 0 0 0 | 0 0 1 0 0 3 3 3 0 0 0 0 | 0 0 3 0 0 3 3 1 0 0 0 | 0 3 0 1 1 0 ..x ... ... ... ... | 0 0 2 | * * * * * 60 * | 0 0 0 0 0 1 0 0 1 3 0 0 | 0 0 1 0 0 3 0 0 3 3 0 0 | 0 0 3 0 0 3 0 0 3 1 0 | 0 3 0 1 0 1 ... ... ..x ... ... | 0 0 2 | * * * * * * 180 | 0 0 0 0 0 0 0 1 0 1 1 2 | 0 0 0 0 0 1 1 2 1 2 2 1 | 0 0 1 0 0 2 2 1 2 1 1 | 0 2 0 1 1 1 ------------------------+----------+------------------------+---------------------------------------+--------------------------------------+-----------------------------+------------- o..3x.. ... ... ... | 3 0 0 | 3 0 0 0 0 0 0 | 20 * * * * * * * * * * * | 3 0 1 0 0 0 0 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 0 0 | 1 3 0 0 0 0 ... x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 | * 60 * * * * * * * * * * | 1 2 0 1 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 ox. ... ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 0 | * * 15 * * * * * * * * * ♦ 0 0 4 0 0 0 0 0 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 | 0 4 0 0 0 0 ... xx. ... ... ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * * * 60 * * * * * * * * | 0 0 1 3 0 0 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 0 0 0 | 0 3 1 0 0 0 ... .x.3.o. ... ... | 0 3 0 | 0 0 0 3 0 0 0 | * * * * 60 * * * * * * * | 0 0 0 1 2 0 1 0 0 0 0 0 | 0 0 1 2 1 0 2 0 0 0 0 | 0 2 1 0 1 0 .xx ... ... ... ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * 60 * * * * * * | 0 0 1 0 0 3 0 0 0 0 0 0 | 0 0 3 0 0 3 0 0 0 0 0 | 0 3 0 1 0 0 ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 0 | * * * * * * 60 * * * * * | 0 0 1 0 0 0 3 0 0 0 0 0 | 0 0 3 0 0 0 3 0 0 0 0 | 0 3 0 0 1 0 ... ... .ox ... ...&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * * 180 * * * * | 0 0 0 0 0 1 1 2 0 0 0 0 | 0 0 1 0 0 2 2 1 0 0 0 | 0 2 0 1 1 0 ..x3..o ... ... ... | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * 20 * * * ♦ 0 0 1 0 0 0 0 0 3 0 0 0 | 0 0 3 0 0 0 0 0 3 0 0 | 0 3 0 0 0 1 ..x ... ..x ... ... | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 90 * * | 0 0 0 0 0 1 0 0 1 2 0 0 | 0 0 1 0 0 2 0 0 2 1 0 | 0 2 0 1 0 1 ... ..o3..x ... ... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * 60 * | 0 0 0 0 0 0 1 0 1 0 2 0 | 0 0 1 0 0 0 2 0 2 0 1 | 0 2 0 0 1 1 ... ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * 120 | 0 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 0 1 1 1 1 1 1 | 0 1 0 1 1 1 ------------------------+----------+------------------------+---------------------------------------+--------------------------------------+-----------------------------+------------- o..3x..3o.. ... ... ♦ 6 0 0 | 12 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 | 15 * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 ... x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 oxx3xxo ... ... ...&#xt ♦ 3 6 3 | 3 6 3 3 6 3 0 | 1 0 3 3 0 3 3 0 1 0 0 0 | * * 20 * * * * * * * * * | 0 0 3 0 0 0 0 0 0 0 0 | 0 3 0 0 0 0 ... xx.3oo. ... ...&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 0 1 0 3 1 0 0 0 0 0 0 0 | * * * 60 * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 | 0 2 1 0 0 0 ... .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 0 6 0 0 0 | 0 0 0 0 4 0 0 0 0 0 0 0 | * * * * 30 * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 | 0 1 1 0 1 0 .xx ... .ox ... ...&#x ♦ 0 2 4 | 0 0 1 0 4 2 2 | 0 0 0 0 0 2 0 2 0 1 0 0 | * * * * * 90 * * * * * * | 0 0 1 0 0 2 0 0 0 0 0 | 0 2 0 1 0 0 ... .xo3.ox ... ...&#x ♦ 0 3 3 | 0 0 0 3 6 0 3 | 0 0 0 0 1 0 3 3 0 0 1 0 | * * * * * * 60 * * * * * | 0 0 1 0 0 0 2 0 0 0 0 | 0 2 0 0 1 0 ... ... .ox3.oo ...&#x ♦ 0 1 3 | 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 3 0 0 0 1 | * * * * * * * 120 * * * * | 0 0 0 0 0 1 1 1 0 0 0 | 0 1 0 1 1 0 ..x3..o3..x ... ... ♦ 0 0 12 | 0 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * * 15 * * * | 0 0 1 0 0 0 0 0 2 0 0 | 0 2 0 0 0 1 ..x ... ..x3..o ... ♦ 0 0 6 | 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * 60 * * | 0 0 0 0 0 1 0 0 1 1 0 | 0 1 0 1 0 1 ... ..o3..x3..o ... ♦ 0 0 6 | 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 30 * | 0 0 0 0 0 0 1 0 1 0 1 | 0 1 0 0 1 1 ... ... ..x3..o3..o ♦ 0 0 4 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 30 | 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 1 1 ------------------------+----------+------------------------+---------------------------------------+--------------------------------------+-----------------------------+------------- o..3x..3o..3o.. ... ♦ 10 0 0 | 30 0 0 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * | 1 1 0 0 0 0 ...3x..3o..3o..3o.. ♦ 5 0 0 | 10 0 0 0 0 0 0 | 0 10 0 0 0 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * | 1 0 1 0 0 0 oxx3xxo3oox ... ...&#xt ♦ 6 12 12 | 12 12 6 12 24 12 12 | 4 4 6 12 4 12 12 12 4 6 4 0 | 1 0 4 4 0 6 4 0 1 0 0 0 | * * 15 * * * * * * * * | 0 2 0 0 0 0 ... xx.3oo.3oo. ...&#x ♦ 4 4 0 | 6 4 0 6 0 0 0 | 0 4 0 6 4 0 0 0 0 0 0 0 | 0 1 0 4 1 0 0 0 0 0 0 0 | * * * 30 * * * * * * * | 0 1 1 0 0 0 ... .x.3.o.3.o.3.o. ♦ 0 5 0 | 0 0 0 10 0 0 0 | 0 0 0 0 10 0 0 0 0 0 0 0 | 0 0 0 0 5 0 0 0 0 0 0 0 | * * * * 6 * * * * * * | 0 0 1 0 1 0 .xx ... .ox3.oo ...&#x ♦ 0 2 6 | 0 0 1 0 6 3 6 | 0 0 0 0 0 3 0 6 0 3 0 2 | 0 0 0 0 0 3 0 2 0 1 0 0 | * * * * * 60 * * * * * | 0 1 0 1 0 0 ... .xo3.ox3.oo ...&#x ♦ 0 4 6 | 0 0 0 6 12 0 12 | 0 0 0 0 4 0 6 12 0 0 4 4 | 0 0 0 0 1 0 4 4 0 0 1 0 | * * * * * * 30 * * * * | 0 1 0 0 1 0 ... ... .ox3.oo3.oo&#x ♦ 0 1 4 | 0 0 0 0 4 0 6 | 0 0 0 0 0 0 0 6 0 0 0 4 | 0 0 0 0 0 0 0 4 0 0 0 1 | * * * * * * * 30 * * * | 0 0 0 1 1 0 ..x3..o3..x3..o ... ♦ 0 0 30 | 0 0 0 0 0 30 60 | 0 0 0 0 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 0 5 10 5 0 | * * * * * * * * 6 * * | 0 1 0 0 0 1 ..x ... ..x3..o3..o ♦ 0 0 8 | 0 0 0 0 0 4 12 | 0 0 0 0 0 0 0 0 0 6 0 8 | 0 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * * 15 * | 0 0 0 1 0 1 ... ..o3..x3..o3..o ♦ 0 0 10 | 0 0 0 0 0 0 30 | 0 0 0 0 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * 6 | 0 0 0 0 1 1 ------------------------+----------+------------------------+---------------------------------------+--------------------------------------+-----------------------------+------------- o..3x..3o..3o..3o.. ♦ 15 0 0 | 60 0 0 0 0 0 0 | 20 60 0 0 0 0 0 0 0 0 0 0 | 15 30 0 0 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 0 0 | 1 * * * * * oxx3xxo3oox3ooo ...&#xt ♦ 10 20 30 | 30 20 10 30 60 30 60 | 10 20 10 30 20 30 30 60 10 30 20 20 | 5 5 10 20 5 30 20 20 5 10 5 0 | 1 0 5 5 0 10 5 0 1 0 0 | * 6 * * * * ... xx.3oo.3oo.3oo.&#x ♦ 5 5 0 | 10 5 0 10 0 0 0 | 0 10 0 10 10 0 0 0 0 0 0 0 | 0 5 0 10 5 0 0 0 0 0 0 0 | 0 1 0 5 1 0 0 0 0 0 0 | * * 6 * * * .xx ... .ox3.oo3oo.&#x ♦ 0 2 8 | 0 0 1 0 8 4 12 | 0 0 0 0 0 4 0 12 0 6 0 8 | 0 0 0 0 0 6 0 8 0 4 0 2 | 0 0 0 0 0 4 0 2 0 1 0 | * * * 15 * * ... .xo3.ox3.oo3.oo&#x ♦ 0 5 10 | 0 0 0 10 20 0 30 | 0 0 0 0 10 0 10 30 0 0 10 20 | 0 0 0 0 5 0 10 20 0 0 5 5 | 0 0 0 0 1 0 5 5 0 0 1 | * * * * 6 * ..x3..o3..x3..o3..o ♦ 0 0 60 | 0 0 0 0 0 60 180 | 0 0 0 0 0 0 0 0 20 90 60 120 | 0 0 0 0 0 0 0 0 15 60 30 30 | 0 0 0 0 0 0 0 0 6 15 6 | * * * * * 1
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