vertex figure of buffy
- general polytopal classes:
- Wythoffian polyexa segmentoexa
links
| Acronym | trippen |
| Name |
triangle - pentachoron duoprism-prism, vertex figure of buffy |
| Circumradius | sqrt(59/60) = 0.991632 |
| Volume | sqrt(15)/384 = 0.010086 |
| Face vector | 30, 105, 175, 175, 111, 44, 10 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x x3o x3o3o3o . . . . . . . | 30 | 1 2 4 | 2 4 1 8 6 | 1 8 6 4 12 4 | 4 12 4 6 8 1 | 6 8 1 4 2 | 4 2 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x . . . . . . | 2 | 15 * * | 2 4 0 0 0 | 1 8 6 0 0 0 | 4 12 4 0 0 0 | 6 8 1 0 0 | 4 2 0 . x . . . . . | 2 | * 30 * | 1 0 1 4 0 | 1 4 0 4 6 0 | 4 6 0 6 4 0 | 6 4 0 4 1 | 4 1 1 . . . x . . . | 2 | * * 60 | 0 1 0 2 3 | 0 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x x . . . . . | 4 | 2 2 0 | 15 * * * * | 1 4 0 0 0 0 | 4 6 0 0 0 0 | 6 4 0 0 0 | 4 1 0 x . . x . . . | 4 | 2 0 2 | * 30 * * * | 0 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . x3o . . . . | 3 | 0 3 0 | * * 10 * * | 1 0 0 4 0 0 | 4 0 0 6 0 0 | 6 0 0 4 0 | 4 0 1 . x . x . . . | 4 | 0 2 2 | * * * 60 * | 0 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . x3o . . | 3 | 0 0 3 | * * * * 60 | 0 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x x3o . . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 5 * * * * * ♦ 4 0 0 0 0 0 | 6 0 0 0 0 | 4 0 0 x x . x . . . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 30 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . x3o . . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 30 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x3o x . . . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 20 * * | 1 0 0 3 0 0 | 3 0 0 1 0 | 3 0 1 . x . x3o . . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 60 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 30 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x x3o x . . . ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 2 0 0 | 10 * * * * * | 3 0 0 0 0 | 3 0 0 x x . x3o . . ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 2 0 | * 30 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o3o . ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 15 * * * | 0 2 1 0 0 | 1 2 0 . x3o x3o . . ♦ 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 0 | * * * 20 * * | 1 0 0 2 0 | 2 0 1 . x . x3o3o . ♦ 8 | 0 4 12 | 0 0 0 6 8 | 0 0 0 0 4 2 | * * * * 30 * | 0 1 0 1 1 | 1 1 1 . . . x3o3o3o ♦ 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * 6 | 0 0 1 0 2 | 0 2 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x x3o x3o . . ♦ 18 | 9 18 18 | 9 9 6 18 6 | 3 9 3 6 6 0 | 3 3 0 2 0 0 | 10 * * * * | 2 0 0 x x . x3o3o . ♦ 16 | 8 8 24 | 4 12 0 12 16 | 0 6 8 0 8 4 | 0 4 2 0 2 0 | * 15 * * * | 1 1 0 x . . x3o3o3o ♦ 10 | 5 0 20 | 0 10 0 0 20 | 0 0 10 0 0 10 | 0 0 5 0 0 2 | * * 3 * * | 0 2 0 . x3o x3o3o . ♦ 12 | 0 12 18 | 0 0 4 18 12 | 0 0 0 6 12 3 | 0 0 0 4 3 0 | * * * 10 * | 1 0 1 . x . x3o3o3o ♦ 10 | 0 5 20 | 0 0 0 10 20 | 0 0 0 0 10 10 | 0 0 0 0 5 2 | * * * * 6 | 0 1 1 --------------+----+----------+----------------+------------------+------------------+--------------+------ x x3o x3o3o . ♦ 24 | 12 24 36 | 12 18 8 36 24 | 4 18 12 12 24 6 | 6 12 3 8 6 0 | 4 3 0 2 0 | 5 * * x x . x3o3o3o ♦ 20 | 10 10 40 | 5 20 0 20 40 | 0 10 20 0 20 20 | 0 10 10 0 10 4 | 0 5 2 0 2 | * 3 * . x3o x3o3o3o ♦ 15 | 0 15 30 | 0 0 5 30 30 | 0 0 0 10 30 15 | 0 0 0 10 15 3 | 0 0 0 5 3 | * * 2
xx3oo xx3oo3oo3oo&#x → height = 1
(trapen || trapen)
o.3o. o.3o.3o.3o. | 15 * | 2 4 1 0 0 | 1 8 6 2 4 0 0 0 | 4 12 4 1 8 6 0 0 0 | 6 8 1 4 12 4 0 0 0 | 4 2 6 8 1 0 0 | 1 4 2 0
.o3.o .o3.o3.o3.o | * 15 | 0 0 1 2 4 | 0 0 0 2 4 1 8 6 | 0 0 0 1 8 6 4 12 4 | 0 0 0 4 12 4 6 8 1 | 0 0 6 8 1 4 2 | 0 4 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x. .. .. .. .. .. | 2 0 | 15 * * * * | 1 4 0 1 0 0 0 0 | 4 6 0 1 4 0 0 0 0 | 6 4 0 4 6 0 0 0 0 | 4 1 6 4 0 0 0 | 1 4 1 0
.. .. x. .. .. .. | 2 0 | * 30 * * * | 0 2 3 0 1 0 0 0 | 1 6 3 0 2 3 0 0 0 | 3 6 1 1 6 3 0 0 0 | 3 2 3 6 1 0 0 | 1 3 2 0
oo3oo oo3oo3oo3oo&#x | 1 1 | * * 15 * * | 0 0 0 2 4 0 0 0 | 0 0 0 1 8 6 0 0 0 | 0 0 0 4 12 4 0 0 0 | 0 0 6 8 1 0 0 | 0 4 2 0
.x .. .. .. .. .. | 0 2 | * * * 15 * | 0 0 0 1 0 1 4 0 | 0 0 0 1 4 0 4 6 0 | 0 0 0 4 6 0 6 4 0 | 0 0 6 4 0 4 1 | 0 4 1 1
.. .. .x .. .. .. | 0 2 | * * * * 30 | 0 0 0 0 1 0 2 3 | 0 0 0 0 2 3 1 6 3 | 0 0 0 1 6 3 3 6 1 | 0 0 3 6 1 3 2 | 0 3 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. .. .. .. .. | 3 0 | 3 0 0 0 0 | 5 * * * * * * * | 4 0 0 1 0 0 0 0 0 | 6 0 0 4 0 0 0 0 0 | 4 0 6 0 0 0 0 | 1 4 0 0
x. .. x. .. .. .. | 4 0 | 2 2 0 0 0 | * 30 * * * * * * | 1 3 0 0 1 0 0 0 0 | 3 3 0 1 3 0 0 0 0 | 3 1 3 3 0 0 0 | 1 3 1 0
.. .. x.3o. .. .. | 3 0 | 0 3 0 0 0 | * * 30 * * * * * | 0 2 2 0 0 1 0 0 0 | 1 4 1 0 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
xx .. .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 15 * * * * | 0 0 0 1 4 0 0 0 0 | 0 0 0 4 6 0 0 0 0 | 0 0 6 4 0 0 0 | 0 4 1 0
.. .. xx .. .. ..&#x | 2 2 | 0 1 2 0 1 | * * * * 30 * * * | 0 0 0 0 2 3 0 0 0 | 0 0 0 1 6 3 0 0 0 | 0 0 3 6 1 0 0 | 0 3 2 0
.x3.o .. .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * 5 * * | 0 0 0 1 0 0 4 0 0 | 0 0 0 4 0 0 6 0 0 | 0 0 6 0 0 4 0 | 0 4 0 1
.x .. .x .. .. .. | 0 4 | 0 0 0 2 2 | * * * * * * 30 * | 0 0 0 0 1 0 1 3 0 | 0 0 0 1 3 0 3 3 0 | 0 0 3 3 0 3 1 | 0 3 1 1
.. .. .x3.o .. .. | 0 3 | 0 0 0 0 3 | * * * * * * * 30 | 0 0 0 0 0 1 0 2 2 | 0 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x. .. .. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | 10 * * * * * * * * | 3 0 0 1 0 0 0 0 0 | 3 0 3 0 0 0 0 | 1 3 0 0
x. .. x.3o. .. .. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 | * 30 * * * * * * * | 1 2 0 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x.3o.3o. .. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 | * * 15 * * * * * * | 0 2 1 0 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
xx3oo .. .. .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * * 5 * * * * * ♦ 0 0 0 4 0 0 0 0 0 | 0 0 6 0 0 0 0 | 0 4 0 0
xx .. xx .. .. ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * * 30 * * * * | 0 0 0 1 3 0 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0
.. .. xx3oo .. ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * * 30 * * * | 0 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.x3.o .x .. .. .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * 10 * * | 0 0 0 1 0 0 3 0 0 | 0 0 3 0 0 3 0 | 0 3 0 1
.x .. .x3.o .. .. ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * 30 * | 0 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x3.o3.o .. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * 15 | 0 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o. .. .. ♦ 9 0 | 9 9 0 0 0 | 3 9 3 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 | 10 * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
x. .. x.3o.3o. .. ♦ 8 0 | 4 12 0 0 0 | 0 6 8 0 0 0 0 0 | 0 4 2 0 0 0 0 0 0 | * 15 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o.3o.3o. ♦ 5 0 | 0 10 0 0 0 | 0 0 10 0 0 0 0 0 | 0 0 5 0 0 0 0 0 0 | * * 3 * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
xx3oo xx .. .. ..&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 6 3 2 3 0 | 1 0 0 2 3 0 1 0 0 | * * * 10 * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0
xx .. xx3oo .. ..&#x ♦ 6 6 | 3 6 6 3 6 | 0 3 2 3 6 0 3 2 | 0 1 0 0 3 2 0 1 0 | * * * * 30 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx3oo3oo ..&#x ♦ 4 4 | 0 6 4 0 6 | 0 0 4 0 6 0 0 4 | 0 0 1 0 0 4 0 0 1 | * * * * * 15 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.x3.o .x3.o .. .. ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 3 3 0 | * * * * * * 10 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.x .. .x3.o3.o .. ♦ 0 8 | 0 0 0 4 12 | 0 0 0 0 0 0 6 8 | 0 0 0 0 0 0 0 4 2 | * * * * * * * 15 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o3.o3.o ♦ 0 5 | 0 0 0 0 10 | 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * 3 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o.3o. .. ♦ 12 0 | 12 18 0 0 0 | 4 18 12 0 0 0 0 0 | 6 12 3 0 0 0 0 0 0 | 4 3 0 0 0 0 0 0 0 | 5 * * * * * * | 1 1 0 0
x. .. x.3o.3o.3o. ♦ 10 0 | 5 20 0 0 0 | 0 10 20 0 0 0 0 0 | 0 10 10 0 0 0 0 0 0 | 0 5 2 0 0 0 0 0 0 | * 3 * * * * * | 1 0 1 0
xx3oo xx3oo .. ..&#x ♦ 9 9 | 9 9 9 9 9 | 3 9 3 9 9 3 9 3 | 3 3 0 3 9 3 3 3 0 | 1 0 0 3 3 0 1 0 0 | * * 10 * * * * | 0 2 0 0
xx .. xx3oo3oo ..&#x ♦ 8 8 | 4 12 8 4 12 | 0 6 8 4 12 0 6 8 | 0 4 2 0 6 8 0 4 2 | 0 1 0 0 4 2 0 1 0 | * * * 15 * * * | 0 1 1 0
.. .. xx3oo3oo3oo&#x ♦ 5 5 | 0 10 5 0 10 | 0 0 10 0 10 0 0 10 | 0 0 5 0 0 10 0 0 5 | 0 0 1 0 0 5 0 0 1 | * * * * 3 * * | 0 0 2 0
.x3.o .x3.o3.o .. ♦ 0 12 | 0 0 0 12 18 | 0 0 0 0 0 4 18 12 | 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 0 4 3 0 | * * * * * 5 * | 0 1 0 1
.x .. .x3.o3.o3.o ♦ 0 10 | 0 0 0 5 20 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 5 2 | * * * * * * 3 | 0 0 1 1
---------------------+-------+----------------+-----------------------+---------------------------+--------------------------+-----------------+--------
x.3o. x.3o.3o.3o. ♦ 15 0 | 15 30 0 0 0 | 5 30 30 0 0 0 0 0 | 10 30 15 0 0 0 0 0 0 | 10 15 3 0 0 0 0 0 0 | 5 3 0 0 0 0 0 | 1 * * *
xx3oo xx3oo3oo ..&#x ♦ 12 12 | 12 18 12 12 18 | 4 18 12 12 18 4 18 12 | 6 12 3 4 18 12 6 12 3 | 4 3 0 6 12 3 4 3 0 | 1 0 4 3 0 1 0 | * 5 * *
xx .. xx3oo3oo3oo&#x ♦ 10 10 | 5 20 10 5 20 | 0 10 20 5 20 0 10 20 | 0 10 10 0 10 20 0 10 10 | 0 5 2 0 10 10 0 5 2 | 0 1 0 5 2 0 1 | * * 3 *
.x3.o .x3.o3.o3.o ♦ 0 15 | 0 0 0 15 30 | 0 0 0 0 0 5 30 30 | 0 0 0 0 0 0 10 30 15 | 0 0 0 0 0 0 10 15 3 | 0 0 0 0 0 5 3 | * * * 1
© 2004-2024 | top of page |