links
| Acronym | phiddip |
| Name | pentagon hexagon duoprism |
| Circumradius | sqrt[(15+sqrt(5))/10] = 1.312862 |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Confer | |
|
External links |
|
Incidence matrix according to Dynkin symbol
x5o x6o . . . . | 30 | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 30 * | 1 2 0 | 2 1 . . x . | 2 | * 30 | 0 2 1 | 1 2 --------+----+-------+--------+---- x5o . . | 5 | 5 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 30 * | 1 1 . . x6o | 6 | 0 6 | * * 5 | 0 2 --------+----+-------+--------+---- x5o x . ♦ 10 | 10 5 | 2 5 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 5
x5o x6/5o . . . . | 30 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 30 * | 1 2 0 | 2 1 . . x . | 2 | * 30 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x5o . . | 5 | 5 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 30 * | 1 1 . . x6/5o | 6 | 0 6 | * * 5 | 0 2 ----------+----+-------+--------+---- x5o x . ♦ 10 | 10 5 | 2 5 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 5
x5/4o x6o . . . . | 30 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 30 * | 1 2 0 | 2 1 . . x . | 2 | * 30 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x5/4o . . | 5 | 5 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 30 * | 1 1 . . x6o | 6 | 0 6 | * * 5 | 0 2 ----------+----+-------+--------+---- x5/4o x . ♦ 10 | 10 5 | 2 5 0 | 6 * x . x6o ♦ 12 | 6 12 | 0 6 2 | * 5
x5/4o x6/5o . . . . | 30 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 30 * | 1 2 0 | 2 1 . . x . | 2 | * 30 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x5/4o . . | 5 | 5 0 | 6 * * | 2 0 x . x . | 4 | 2 2 | * 30 * | 1 1 . . x6/5o | 6 | 0 6 | * * 5 | 0 2 ------------+----+-------+--------+---- x5/4o x . ♦ 10 | 10 5 | 2 5 0 | 6 * x . x6/5o ♦ 12 | 6 12 | 0 6 2 | * 5
x3x x5o . . . . | 30 | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+----------+-----------+------ x . . . | 2 | 15 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 15 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 30 | 0 1 1 1 | 1 1 1 --------+----+----------+-----------+------ x3x . . | 6 | 3 3 0 | 5 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 15 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 15 * | 1 0 1 . . x5o | n | 0 0 n | * * * 6 | 0 1 1 --------+----+----------+-----------+------ x3x x . ♦ 12 | 6 6 6 | 2 3 3 0 | 5 * * x . x5o ♦ 10 | 5 0 10 | 0 5 0 2 | * 3 * . x x5o ♦ 10 | 0 5 10 | 0 0 5 2 | * * 3
x3x x5/4o . . . . | 30 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+----------+-----------+------ x . . . | 2 | 15 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 15 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 30 | 0 1 1 1 | 1 1 1 ----------+----+----------+-----------+------ x3x . . | 6 | 3 3 0 | 5 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 15 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 15 * | 1 0 1 . . x5/4o | n | 0 0 n | * * * 6 | 0 1 1 ----------+----+----------+-----------+------ x3x x . ♦ 12 | 6 6 6 | 2 3 3 0 | 5 * * x . x5/4o ♦ 10 | 5 0 10 | 0 5 0 2 | * 3 * . x x5/4o ♦ 10 | 0 5 10 | 0 0 5 2 | * * 3
xux xxx5ooo&#xt → both heights = sqrt(3)/2 = 0.866025 (pip || pseudo (x,u)-pip || n-p) o.. o..5o.. | 10 * * | 1 2 1 0 0 0 0 | 2 1 2 1 0 0 0 0 | 1 1 2 0 0 .o. .o.5.o. | * 10 * | 0 0 1 2 1 0 0 | 0 0 2 1 1 2 0 0 | 0 1 2 1 0 ..o ..o5..o | * * 10 | 0 0 0 0 1 1 2 | 0 0 0 1 0 2 2 1 | 0 0 2 1 1 ----------------+----------+--------------------+-------------------+---------- x.. ... ... | 2 0 0 | 5 * * * * * * | 2 0 0 1 0 0 0 0 | 1 0 2 0 0 ... x.. ... | 2 0 0 | * 10 * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 0 oo. oo.5oo.&#x | 1 1 0 | * * 10 * * * * | 0 0 2 1 0 0 0 0 | 0 1 2 0 0 ... .x. ... | 0 2 0 | * * * 10 * * * | 0 0 1 0 1 1 0 0 | 0 1 1 1 0 .oo .oo5.oo&#x | 0 1 1 | * * * * 10 * * | 0 0 0 1 0 2 0 0 | 0 0 2 1 0 ..x ... ... | 0 0 2 | * * * * * 5 * | 0 0 0 1 0 0 2 0 | 0 0 2 0 1 ... ..x ... | 0 0 2 | * * * * * * 10 | 0 0 0 0 0 1 1 1 | 0 0 1 1 1 ----------------+----------+--------------------+-------------------+---------- x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 | 5 * * * * * * * | 1 0 1 0 0 ... x..5o.. | 5 0 0 | 0 5 0 0 0 0 0 | * 2 * * * * * * | 1 1 0 0 0 ... xx. ...&#x | 2 2 0 | 0 1 2 1 0 0 0 | * * 10 * * * * * | 0 1 1 0 0 xux ... ...&#xt | 2 2 2 | 1 0 2 0 2 1 0 | * * * 5 * * * * | 0 0 2 0 0 ... .x.5.o. | 0 5 0 | 0 0 0 5 0 0 0 | * * * * 2 * * * | 0 1 0 1 0 ... .xx ...&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * 10 * * | 0 0 1 1 0 ..x ..x ... | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * 5 * | 0 0 1 0 1 ... ..x5..o | 0 0 5 | 0 0 0 0 0 0 5 | * * * * * * * 2 | 0 0 0 1 1 ----------------+----------+--------------------+-------------------+---------- x.. x..5o.. ♦ 10 0 0 | 5 10 0 0 0 0 0 | 5 2 0 0 0 0 0 0 | 1 * * * * ... xx.5oo.&#x ♦ 5 5 0 | 0 5 5 5 0 0 0 | 0 1 5 0 1 0 0 0 | * 2 * * * xux xxx ...&#xt ♦ 4 4 4 | 2 2 4 2 4 2 2 | 1 0 2 2 0 2 1 0 | * * 5 * * ... .xx5.oo&#x ♦ 0 5 5 | 0 0 0 5 5 0 5 | 0 0 0 0 1 5 0 1 | * * * 2 * ..x ..x5..o ♦ 0 0 10 | 0 0 0 0 0 5 10 | 0 0 0 0 0 0 5 2 | * * * * 1 or o.. o..5o.. & | 20 * | 1 2 1 0 | 2 1 2 1 0 | 1 1 2 .o. .o.5.o. | * 10 | 0 0 2 2 | 0 0 4 1 1 | 0 2 2 -------------------+-------+-------------+-------------+------ x.. ... ... & | 2 0 | 10 * * * | 2 0 0 1 0 | 1 0 2 ... x.. ... & | 2 0 | * 20 * * | 1 1 1 0 0 | 1 1 1 oo. oo.5oo.&#x & | 1 1 | * * 20 * | 0 0 2 1 0 | 0 1 2 ... .x. ... | 0 2 | * * * 10 | 0 0 2 0 1 | 0 2 1 -------------------+-------+-------------+-------------+------ x.. x.. ... & | 4 0 | 2 2 0 0 | 10 * * * * | 1 0 1 ... x..5o.. & | 5 0 | 0 5 0 0 | * 4 * * * | 1 1 0 ... xx. ...&#x & | 2 2 | 0 1 2 1 | * * 20 * * | 0 1 1 xux ... ...&#xt | 4 2 | 2 0 4 0 | * * * 5 * | 0 0 2 ... .x.5.o. | 0 5 | 0 0 0 5 | * * * * 2 | 0 2 0 -------------------+-------+-------------+-------------+------ x.. x..5o.. & ♦ 10 0 | 5 10 0 0 | 5 2 0 0 0 | 2 * * ... xx.5oo.&#x & ♦ 5 5 | 0 5 5 5 | 0 1 5 0 1 | * 4 * xux xxx ...&#xt ♦ 8 4 | 4 4 8 2 | 2 0 4 2 0 | * * 5
© 2004-2013 | top of page |