Acronym | paf, K-4.22 |
Name |
pentagonal antifastegium, pentagon - pap wedge, {5} || gyro pip |
Segmentochoron display | |
Circumradius | 1 |
Face vector | 15, 40, 38, 13 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
xoo5oxx&#x → height(1,2) = height(1,3) = sqrt[(5+sqrt(5))/10] = 0.850651 height(2,3) = 1 ( {5} || (dual {5} || dual {5}) ) o.. o.. | 5 * * | 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 0 .o. .o. | * 5 * | 0 2 0 2 1 0 | 0 1 2 0 0 2 1 2 0 | 1 0 1 2 1 ..o ..o | * * 5 | 0 0 2 0 1 2 | 0 0 0 1 2 2 0 2 1 | 0 1 1 2 1 -----------+-------+---------------+--------------------+---------- x.. ... | 2 0 0 | 5 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 oo.5oo.&#x | 1 1 0 | * 10 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 o.o5o.o&#x | 1 0 1 | * * 10 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 ... .x. | 0 2 0 | * * * 5 * * | 0 0 1 0 0 0 1 1 0 | 1 0 0 1 1 .oo5.oo&#x | 0 1 1 | * * * * 5 * | 0 0 0 0 0 2 0 2 0 | 0 0 1 2 1 ... ..x | 0 0 2 | * * * * * 5 | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1 -----------+-------+---------------+--------------------+---------- x..5o.. | 5 0 0 | 5 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0 xo. ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 5 * * * * * * * | 1 0 1 0 0 ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 5 * * * * * * | 1 0 0 1 0 x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 5 * * * * * | 0 1 1 0 0 ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 5 * * * * | 0 1 0 1 0 ooo5ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 10 * * * | 0 0 1 1 0 .o.5.x. | 0 5 0 | 0 0 0 5 0 0 | * * * * * * 1 * * | 1 0 0 0 1 ... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * * 5 * | 0 0 0 1 1 ..o5..x | 0 0 5 | 0 0 0 0 0 5 | * * * * * * * * 1 | 0 1 0 0 1 -----------+-------+---------------+--------------------+---------- xo.5ox.&#x ♦ 5 5 0 | 5 10 0 5 0 0 | 1 5 5 0 0 0 1 0 0 | 1 * * * * x.o5o.x&#x ♦ 5 0 5 | 5 0 10 0 0 5 | 1 0 0 5 5 0 0 0 1 | * 1 * * * xoo ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 0 0 | * * 5 * * ... oxx&#x ♦ 1 2 2 | 0 2 2 1 2 1 | 0 0 1 0 1 2 0 1 0 | * * * 5 * .oo5.xx&#x ♦ 0 5 5 | 0 0 0 5 5 5 | 0 0 0 0 0 0 1 5 1 | * * * * 1
xo5ox ox&#x → height = sqrt[(5+2 sqrt(5))/20] = 0.688191
({5} || gyro pip)
o. o. o. | 5 * | 2 4 0 0 | 1 4 2 2 0 0 | 2 2 1 0
.o .o .o | * 10 | 0 2 2 1 | 0 1 2 2 1 2 | 1 1 2 1
------------+------+-----------+----------------+--------
x. .. .. | 2 0 | 5 * * * | 1 2 0 0 0 0 | 2 1 0 0
oo5oo oo&#x | 1 1 | * 20 * * | 0 1 1 1 0 0 | 1 1 1 0
.. .x .. | 0 2 | * * 10 * | 0 0 1 0 1 1 | 1 0 1 1
.. .. .x | 0 2 | * * * 5 | 0 0 0 2 0 2 | 0 1 2 1
------------+------+-----------+----------------+--------
x.5o. .. | 5 0 | 5 0 0 0 | 1 * * * * * | 2 0 0 0
xo .. ..&#x | 2 1 | 1 2 0 0 | * 10 * * * * | 1 1 0 0
.. ox ..&#x | 1 2 | 0 2 1 0 | * * 10 * * * | 1 0 1 0
.. .. ox&#x | 1 2 | 0 2 0 1 | * * * 10 * * | 0 1 1 0
.o5.x .. | 0 5 | 0 0 5 0 | * * * * 2 * | 1 0 0 1
.. .x .x | 0 4 | 0 0 2 2 | * * * * * 5 | 0 0 1 1
------------+------+-----------+----------------+--------
xo5ox ..&#x ♦ 5 5 | 5 10 5 0 | 1 5 5 0 1 0 | 2 * * *
xo .. ox&#x ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 0 | * 5 * *
.. ox ox&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 0 1 | * * 5 *
.o5.x .x ♦ 0 10 | 0 0 10 5 | 0 0 0 0 2 5 | * * * 1
{5} || pap → height = (1+sqrt(5))/4 = 0.809017
o.. o.. | 5 * * | 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 0
.o. .o. | * 5 * | 0 2 0 2 1 0 | 0 1 2 0 0 2 1 2 0 | 1 0 1 2 1
..o ..o | * * 5 | 0 0 2 0 1 2 | 0 0 0 1 2 2 0 2 1 | 0 1 1 2 1
-----------+-------+---------------+--------------------+----------
x.. ... | 2 0 0 | 5 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
oo.5oo.&#x | 1 1 0 | * 10 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0
o.o5o.o&#x | 1 0 1 | * * 10 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
... .x. | 0 2 0 | * * * 5 * * | 0 0 1 0 0 0 1 1 0 | 1 0 0 1 1
.oo5.oo&#x | 0 1 1 | * * * * 5 * | 0 0 0 0 0 2 0 2 0 | 0 0 1 2 1
... ..x | 0 0 2 | * * * * * 5 | 0 0 0 0 1 0 0 1 1 | 0 1 0 1 1
-----------+-------+---------------+--------------------+----------
x..5o.. | 5 0 0 | 5 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0
xo. ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 5 * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 5 * * * * * * | 1 0 0 1 0
x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 5 * * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 5 * * * * | 0 1 0 1 0
ooo5ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 10 * * * | 0 0 1 1 0
.o.5.x. | 0 5 0 | 0 0 0 5 0 0 | * * * * * * 1 * * | 1 0 0 0 1
... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * * 5 * | 0 0 0 1 1
..o5..x | 0 0 5 | 0 0 0 0 0 5 | * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+---------------+--------------------+----------
xo.5ox.&#x ♦ 5 5 0 | 5 10 0 5 0 0 | 1 5 5 0 0 0 1 0 0 | 1 * * * *
x.o5o.x&#x ♦ 5 0 5 | 5 0 10 0 0 5 | 1 0 0 5 5 0 0 0 1 | * 1 * * *
xoo ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 0 0 | * * 5 * *
... oxx&#x ♦ 1 2 2 | 0 2 2 1 2 1 | 0 0 1 0 1 2 0 1 0 | * * * 5 *
.oo5.xx&#x ♦ 0 5 5 | 0 0 0 5 5 5 | 0 0 0 0 0 0 1 5 1 | * * * * 1
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