Acronym | penaf (old: penalpenp) |
Name |
pentachoron antifastegium, pentachoron atop inverted pentachoral-prism, pen-first cap of jak |
Circumradius | sqrt(2/3) = 0.816497 |
Lace city in approx. ASCII-art |
p d p where: p = x3o3o3o (pen) d = o3o3o3x (dual pen) |
Face vector | 15, 75, 180, 225, 138, 33 |
Confer |
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Incidence matrix according to Dynkin symbol
xo ox3oo3oo3xo&#x → height = sqrt(3/20) = 0.387298
(penp || dual pen)
o. o.3o.3o.3o. | 10 * | 1 4 4 0 | 4 6 4 6 12 0 | 6 4 6 12 4 12 12 0 | 4 1 4 12 12 1 4 6 4 0 | 1 1 4 6 4 1
.o .o3.o3.o3.o | * 5 ♦ 0 0 8 4 | 0 0 4 24 12 6 | 0 0 12 6 24 24 8 4 | 0 0 12 12 4 8 12 8 2 1 | 0 4 6 4 1 2
------------------+------+------------+-------------------+------------------------+----------------------------+--------------
x. .. .. .. .. | 2 0 | 5 * * * ♦ 4 0 4 0 0 0 | 6 0 6 12 0 0 0 0 | 4 0 4 12 12 0 0 0 0 0 | 1 1 4 6 4 0
.. .. .. .. x. | 2 0 | * 20 * * | 1 3 0 0 3 0 | 3 3 0 3 0 3 6 0 | 3 1 0 3 6 0 1 3 3 0 | 1 0 1 3 3 1
oo oo3oo3oo3oo&#x | 1 1 | * * 40 * | 0 0 1 3 3 0 | 0 0 3 3 3 6 3 0 | 0 0 3 6 3 1 3 3 1 0 | 0 1 3 3 1 1
.. .x .. .. .. | 0 2 | * * * 10 ♦ 0 0 0 6 0 3 | 0 0 3 0 12 6 0 3 | 0 0 6 3 0 6 6 2 0 1 | 0 3 3 1 0 2
------------------+------+------------+-------------------+------------------------+----------------------------+--------------
x. .. .. .. x. | 4 0 | 2 2 0 0 | 10 * * * * * ♦ 3 0 0 3 0 0 0 0 | 3 0 0 3 6 0 0 0 0 0 | 1 0 1 3 3 0
.. .. .. o.3x. | 3 0 | 0 3 0 0 | * 20 * * * * | 1 2 0 0 0 0 2 0 | 2 1 0 0 2 0 0 1 2 0 | 1 0 0 1 2 1
xo .. .. .. ..&#x | 2 1 | 1 0 2 0 | * * 20 * * * ♦ 0 0 3 3 0 0 0 0 | 0 0 3 6 3 0 0 0 0 0 | 0 1 3 3 1 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 1 | * * * 60 * * | 0 0 1 0 2 2 0 0 | 0 0 2 2 0 1 2 1 0 0 | 0 1 2 1 0 1
.. .. .. .. xo&#x | 2 1 | 0 1 2 0 | * * * * 60 * | 0 0 0 1 0 2 2 0 | 0 0 0 2 2 0 1 2 1 0 | 0 0 1 2 1 1
.. .x3.o .. .. | 0 3 | 0 0 0 3 | * * * * * 10 ♦ 0 0 0 0 4 0 0 2 | 0 0 2 0 0 4 2 0 0 1 | 0 2 1 0 0 2
------------------+------+------------+-------------------+------------------------+----------------------------+--------------
x. .. .. o.3x. ♦ 6 0 | 3 6 0 0 | 3 2 0 0 0 0 | 10 * * * * * * * | 2 0 0 0 2 0 0 0 0 0 | 1 0 0 1 2 0
.. .. o.3o.3x. ♦ 4 0 | 0 6 0 0 | 0 4 0 0 0 0 | * 10 * * * * * * | 1 1 0 0 0 0 0 0 1 0 | 1 0 0 0 1 1
xo ox .. .. ..&#x ♦ 2 2 | 1 0 4 1 | 0 0 2 2 0 0 | * * 30 * * * * * | 0 0 2 2 0 0 0 0 0 0 | 0 1 2 1 0 0
xo .. .. .. xo&#x ♦ 4 1 | 2 2 4 0 | 1 0 2 0 2 0 | * * * 30 * * * * | 0 0 0 2 2 0 0 0 0 0 | 0 0 1 2 1 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 0 3 3 | 0 0 0 3 0 1 | * * * * 40 * * * | 0 0 1 0 0 1 1 0 0 0 | 0 1 1 0 0 1
.. ox .. .. xo&#x ♦ 2 2 | 0 1 4 1 | 0 0 0 2 2 0 | * * * * * 60 * * | 0 0 0 1 0 0 1 1 0 0 | 0 0 1 1 0 1
.. .. .. oo3xo&#x ♦ 3 1 | 0 3 3 0 | 0 1 0 0 3 0 | * * * * * * 40 * | 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1
.. .x3.o3.o .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 5 | 0 0 0 0 0 2 0 0 0 1 | 0 1 0 0 0 2
------------------+------+------------+-------------------+------------------------+----------------------------+--------------
x. .. o.3o.3x. ♦ 8 0 | 4 12 0 0 | 6 8 0 0 0 0 | 4 2 0 0 0 0 0 0 | 5 * * * * * * * * * | 1 0 0 0 1 0
.. o.3o.3o.3x. ♦ 5 0 | 0 10 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 0 0 | * 2 * * * * * * * * | 1 0 0 0 0 1
xo ox3oo .. ..&#x ♦ 2 3 | 1 0 6 3 | 0 0 3 6 0 1 | 0 0 3 0 2 0 0 0 | * * 20 * * * * * * * | 0 1 1 0 0 0
xo ox .. .. xo&#x ♦ 4 2 | 2 2 8 1 | 1 0 4 4 4 0 | 0 0 2 2 0 2 0 0 | * * * 30 * * * * * * | 0 0 1 1 0 0
xo .. .. oo3xo&#x ♦ 6 1 | 3 6 6 0 | 3 2 3 0 6 0 | 1 0 0 3 0 0 2 0 | * * * * 20 * * * * * | 0 0 0 1 1 0
.. ox3oo3oo ..&#x ♦ 1 4 | 0 0 4 6 | 0 0 0 6 0 4 | 0 0 0 0 4 0 0 1 | * * * * * 10 * * * * | 0 1 0 0 0 1
.. ox3oo .. xo&#x ♦ 2 3 | 0 1 6 3 | 0 0 0 6 3 1 | 0 0 0 0 2 3 0 0 | * * * * * * 20 * * * | 0 0 1 0 0 1
.. ox .. oo3xo&#x ♦ 3 2 | 0 3 6 1 | 0 1 0 3 6 0 | 0 0 0 0 0 3 2 0 | * * * * * * * 20 * * | 0 0 0 1 0 1
.. .. oo3oo3xo&#x ♦ 4 1 | 0 6 4 0 | 0 4 0 0 6 0 | 0 1 0 0 0 0 4 0 | * * * * * * * * 10 * | 0 0 0 0 1 1
.. .x3.o3.o3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * * * 1 | 0 0 0 0 0 2
------------------+------+------------+-------------------+------------------------+----------------------------+--------------
x. o.3o.3o.3x. ♦ 10 0 | 5 20 0 0 | 10 20 0 0 0 0 | 10 10 0 0 0 0 0 0 | 5 2 0 0 0 0 0 0 0 0 | 1 * * * * *
xo ox3oo3oo ..&#x ♦ 2 4 | 1 0 8 6 | 0 0 4 12 0 4 | 0 0 6 0 8 0 0 1 | 0 0 4 0 0 2 0 0 0 0 | * 5 * * * *
xo ox3oo .. xo&#x ♦ 4 3 | 2 2 12 3 | 1 0 6 12 6 1 | 0 0 6 3 4 6 0 0 | 0 0 2 3 0 0 2 0 0 0 | * * 10 * * *
xo ox .. oo3xo&#x ♦ 6 2 | 3 6 12 1 | 3 2 6 6 12 0 | 1 0 3 6 0 6 4 0 | 0 0 0 3 2 0 0 2 0 0 | * * * 10 * *
xo .. oo3oo3xo&#x ♦ 8 1 | 4 12 8 0 | 6 8 4 0 12 0 | 4 2 0 6 0 0 8 0 | 1 0 0 0 4 0 0 0 2 0 | * * * * 5 *
.. ox3oo3oo3xo&#x ♦ 5 5 | 0 10 20 10 | 0 10 0 30 30 10 | 0 5 0 0 20 30 20 5 | 0 1 0 0 0 5 10 10 5 1 | * * * * * 2
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