Acronym paf, K-4.22
Name pentagonal antifastegium,
pentagon - pap wedge,
{5} || gyro pip
Segmentochoron display
Circumradius 1
Confer
segmentochora family:
n-af  
general polytopal classes:
segmentochora  

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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