links
| Acronym | rag (old: ric) |
| Name | rectified hexacontitetrapeton |
| Circumradius | 1 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign |
|
External links |
|
Incidence matrix according to Dynkin symbol
o3x3o3o3o4o . . . . . . | 60 ♦ 16 | 8 48 | 24 64 | 32 32 | 16 2 ------------+----+-----+---------+---------+---------+------ . x . . . . | 2 | 480 | 1 6 | 6 12 | 12 8 | 8 1 ------------+----+-----+---------+---------+---------+------ o3x . . . . | 3 | 3 | 160 * ♦ 6 0 | 12 0 | 8 0 . x3o . . . | 3 | 3 | * 960 | 1 4 | 4 4 | 4 1 ------------+----+-----+---------+---------+---------+------ o3x3o . . . ♦ 6 | 12 | 4 4 | 240 * | 4 0 | 4 0 . x3o3o . . ♦ 4 | 6 | 0 4 | * 960 | 1 2 | 2 1 ------------+----+-----+---------+---------+---------+------ o3x3o3o . . ♦ 10 | 30 | 10 20 | 5 5 | 192 * | 2 0 . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 5 | * 384 | 1 1 ------------+----+-----+---------+---------+---------+------ o3x3o3o3o . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 64 * . x3o3o3o4o ♦ 10 | 40 | 0 80 | 0 80 | 0 32 | * 12
o3o3o *b3o3x3o . . . . . . | 60 ♦ 16 | 48 8 | 64 24 | 16 16 32 | 2 8 8 ---------------+----+-----+---------+---------+-------------+--------- . . . . x . | 2 | 480 | 6 1 | 12 6 | 4 4 12 | 1 4 4 ---------------+----+-----+---------+---------+-------------+--------- . . . o3x . | 3 | 3 | 960 * | 4 1 | 2 2 4 | 1 2 2 . . . . x3o | 3 | 3 | * 160 ♦ 0 6 | 0 0 12 | 0 4 4 ---------------+----+-----+---------+---------+-------------+--------- . o . *b3o3x . ♦ 4 | 6 | 4 0 | 960 * | 1 1 1 | 1 1 1 . . . o3x3o ♦ 6 | 12 | 4 4 | * 240 | 0 0 4 | 0 2 2 ---------------+----+-----+---------+---------+-------------+--------- o3o . *b3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 192 * * | 1 1 0 . o3o *b3o3x . ♦ 5 | 10 | 10 0 | 5 0 | * 192 * | 1 0 1 . o . *b3o3x3o ♦ 10 | 30 | 20 10 | 5 5 | * * 192 | 0 1 1 ---------------+----+-----+---------+---------+-------------+--------- o3o3o *b3o3x . ♦ 10 | 40 | 80 0 | 80 0 | 16 16 0 | 12 * * o3o . *b3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 6 0 6 | * 32 * . o3o *b3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 0 6 6 | * * 32
oxo3xoo3ooo3oox3oxo&#xt → both heights = 1/sqrt(3) = 0.577350 (rix || pseudo scad || inv rix) o..3o..3o..3o..3o.. & | 30 * ♦ 8 8 0 | 4 12 4 12 24 0 | 6 8 12 24 24 8 6 0 | 4 2 12 8 12 8 2 16 0 | 1 4 2 7 4 .o.3.o.3.o.3.o.3.o. | * 30 ♦ 0 8 8 | 0 0 8 24 12 12 | 0 0 12 8 24 24 12 8 | 0 0 8 2 8 12 8 24 2 | 0 2 2 8 6 --------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+-------------- ... x.. ... ... ... & | 2 0 | 120 * * | 1 3 0 0 3 0 | 3 3 3 6 3 0 0 0 | 3 1 6 3 3 1 0 3 0 | 1 3 1 3 1 oo.3oo.3oo.3oo.3oo.&#x & | 1 1 | * 240 * | 0 0 1 3 3 0 | 0 0 3 3 6 3 3 0 | 0 0 3 1 3 3 1 9 0 | 0 1 1 4 3 .x. ... ... ... ... & | 0 2 | * * 120 | 0 0 1 3 0 3 | 0 0 3 0 3 6 3 3 | 0 0 3 0 1 3 3 9 1 | 0 1 1 4 3 --------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+-------------- o..3x.. ... ... ... & | 3 0 | 3 0 0 | 40 * * * * * ♦ 3 0 3 0 0 0 0 0 | 3 0 6 0 0 0 0 3 0 | 1 3 0 3 1 ... x..3o.. ... ... & | 3 0 | 3 0 0 | * 120 * * * * | 1 2 0 2 0 0 0 0 | 2 1 2 2 1 0 0 0 0 | 1 2 1 1 0 ox. ... ... ... ...&#x & | 1 2 | 0 2 1 | * * 120 * * * ♦ 0 0 3 0 0 0 3 0 | 0 0 3 0 0 0 0 9 0 | 0 1 0 4 3 ... ... ... ... ox.&#x & | 1 2 | 0 2 1 | * * * 360 * * | 0 0 0 0 2 2 1 0 | 0 0 0 0 1 2 1 4 0 | 0 0 1 2 2 ... xo. ... ... ...&#x & | 2 1 | 1 2 0 | * * * * 360 * | 0 0 1 2 2 0 0 0 | 0 0 2 1 2 1 0 2 0 | 0 1 1 2 1 .x.3.o. ... ... ... & | 0 3 | 0 0 3 | * * * * * 120 | 0 0 1 0 0 2 0 2 | 0 0 2 0 0 1 2 2 1 | 0 1 1 2 1 --------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+-------------- o..3x..3o.. ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 30 * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 2 0 1 0 ... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 60 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 ox.3xo. ... ... ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 0 3 1 | * * 120 * * * * * | 0 0 2 0 0 0 0 2 0 | 0 1 0 2 1 ... xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 | 0 1 0 0 3 0 | * * * 240 * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 ... xo. ... ... ox.&#x & ♦ 2 2 | 1 4 1 | 0 0 0 2 2 0 | * * * * 360 * * * | 0 0 0 0 1 1 0 1 0 | 0 0 1 1 1 ... ... ... oo.3ox.&#x & ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * * 240 * * | 0 0 0 0 0 1 1 1 0 | 0 0 1 1 1 oxo ... ... ... oxo&#xt ♦ 2 4 | 0 8 4 | 0 0 4 4 0 0 | * * * * * * 90 * | 0 0 0 0 0 0 0 4 0 | 0 0 0 2 2 .x.3.o.3.o. ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 60 | 0 0 1 0 0 0 1 0 1 | 0 1 1 1 0 --------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+-------------- o..3x..3o..3o.. ... & ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 12 * * * * * * * * | 1 1 0 0 0 ... x..3o..3o..3o.. & ♦ 5 0 | 10 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0 ox.3xo.3oo. ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 6 0 12 4 | 1 0 4 4 0 0 0 1 | * * 60 * * * * * * | 0 1 0 1 0 ... xo.3oo.3oo. ...&#x & ♦ 4 1 | 6 4 0 | 0 4 0 0 6 0 | 0 1 0 4 0 0 0 0 | * * * 60 * * * * * | 0 1 1 0 0 ... xo.3oo. ... ox.&#x & ♦ 3 2 | 3 6 1 | 0 1 0 3 6 0 | 0 0 0 2 3 0 0 0 | * * * * 120 * * * * | 0 0 1 1 0 ... xo. ... oo.3ox.&#x & ♦ 2 3 | 1 6 3 | 0 0 0 6 3 1 | 0 0 0 0 3 2 0 0 | * * * * * 120 * * * | 0 0 1 0 1 ... ... oo.3oo.3ox.&#x & ♦ 1 4 | 0 4 6 | 0 0 0 6 0 4 | 0 0 0 0 0 4 0 1 | * * * * * * 60 * * | 0 0 1 1 0 oxo3xoo ... ... oxo&#xt & ♦ 4 6 | 3 18 9 | 1 0 9 12 6 2 | 0 0 2 0 3 2 3 0 | * * * * * * * 120 * | 0 0 0 1 1 .x.3.o.3.o.3.o. ... & ♦ 0 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * 12 | 0 1 1 0 0 --------------------------+-------+-------------+------------------------+-----------------------------+-------------------------------+-------------- o..3x..3o..3o..3o.. & ♦ 15 0 | 60 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 | 2 * * * ox.3xo.3oo.3oo. ...&#x & ♦ 10 5 | 30 20 10 | 10 20 10 0 30 10 | 5 5 10 20 0 0 0 5 | 1 0 5 5 0 0 0 0 1 | * 12 * * ... xo.3oo.3oo.3ox.&#x & ♦ 5 5 | 10 20 10 | 0 10 0 30 30 10 | 0 5 0 20 30 20 0 5 | 0 1 0 5 10 10 5 0 1 | * * 12 * oxo3xoo3ooo ... oxo&#xt & ♦ 7 8 | 12 32 16 | 4 4 16 24 24 8 | 1 0 8 8 12 8 6 2 | 0 0 2 0 4 0 2 4 0 | * * * 30 oxo3xoo ... oox3oxo&#xt ♦ 6 9 | 6 36 18 | 2 0 18 36 18 6 | 0 0 6 0 18 12 9 0 | 0 0 0 0 0 6 0 6 0 | * * * * 20
© 2004-2013 | top of page |