Acronym | ..., {5} || gyro pedip |
Name | (degenerate) pentagon atop gyrated pedip |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 30, 105, 136, 75, 16 |
Confer |
|
It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
ox5oo ox5xo&#x → height = 0
({5} || gyro pedip)
o.5o. o.5o. | 5 * | 2 10 0 0 | 1 10 5 10 0 0 0 | 2 5 10 5 0 0 | 1 2 5 0
.o5.o .o5.o | * 25 | 0 2 2 2 | 0 4 2 1 1 4 1 | 2 4 2 1 2 2 | 2 1 2 1
---------------+------+------------+-------------------+----------------+--------
.. .. .. x. | 2 0 | 5 * * * | 1 0 0 5 0 0 0 | 0 0 5 5 0 0 | 0 1 5 0
oo5oo oo5oo&#x | 1 1 | * 50 * * | 0 2 1 1 0 0 0 | 1 2 2 1 0 0 | 1 1 2 0
.x .. .. .. | 0 2 | * * 25 * | 0 2 0 0 1 2 0 | 2 2 1 0 2 1 | 2 1 1 1
.. .. .x .. | 0 2 | * * * 25 | 0 0 1 0 0 2 1 | 0 2 0 1 1 2 | 1 0 2 1
---------------+------+------------+-------------------+----------------+--------
.. .. o.5x. | 5 0 | 5 0 0 0 | 1 * * * * * * | 0 0 0 5 0 0 | 0 0 5 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 50 * * * * * | 1 1 1 0 0 0 | 1 1 1 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 25 * * * * | 0 2 0 1 0 0 | 1 0 2 0
.. .. .. xo&#x | 2 1 | 1 2 0 0 | * * * 25 * * * | 0 0 2 1 0 0 | 0 1 2 0
.x5.o .. .. | 0 5 | 0 0 5 0 | * * * * 5 * * | 2 0 0 0 2 0 | 2 1 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * * 25 * | 0 1 0 0 1 1 | 1 0 1 1
.. .. .x5.o | 0 5 | 0 0 0 5 | * * * * * * 5 | 0 0 0 1 0 2 | 0 0 2 1
---------------+------+------------+-------------------+----------------+--------
ox5oo .. ..&#x ♦ 1 5 | 0 5 5 0 | 0 5 0 0 1 0 0 | 10 * * * * * | 1 1 0 0
ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 0 1 0 | * 25 * * * * | 1 0 1 0
ox .. .. xo&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 0 | * * 25 * * * | 0 1 1 0
.. .. ox5xo&#x ♦ 5 5 | 5 10 0 5 | 1 0 5 5 0 0 1 | * * * 5 * * | 0 0 2 0
.x5.o .x .. ♦ 0 10 | 0 0 10 5 | 0 0 0 0 2 5 0 | * * * * 5 * | 1 0 0 1
.x .. .x5.o ♦ 0 10 | 0 0 5 10 | 0 0 0 0 0 5 2 | * * * * * 5 | 0 0 1 1
---------------+------+------------+-------------------+----------------+--------
ox5oo ox ..&#x ♦ 1 10 | 0 10 10 5 | 0 10 5 0 2 5 0 | 2 5 0 0 1 0 | 5 * * *
ox5oo .. xo&#x ♦ 2 5 | 1 10 5 0 | 0 10 0 5 1 0 0 | 2 0 5 0 0 0 | * 5 * *
ox .. ox5xo&#x ♦ 5 10 | 5 20 5 10 | 1 10 10 10 0 5 2 | 0 5 5 2 0 1 | * * 5 *
.x5.o .x5.o ♦ 0 25 | 0 0 25 25 | 0 0 0 0 5 25 5 | 0 0 0 0 5 5 | * * * 1
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