Acronym	haf, K-4.46
Name	hexagonal antifastegium, hexagon - hap wedge, {6} || gyro hip
Segmentochoron display
Circumradius	sqrt[(19+6 sqrt(3))/23] = 1.130454
Face vector	18, 48, 45, 15
Confer	segmentochora family: n-af   n/d-af   general polytopal classes: segmentochora
External links

Incidence matrix according to Dynkin symbol

xoo6oxx&#x   → height(1,2) = height(1,3) = sqrt[sqrt(3)-1] = 0.855600
                 height(2,3) = 1
( {6} || (dual {6} || dual {6}) )

o.. o..    | 6 * * | 2  2  2 0 0 0 | 1 2 1 2 1  2 0 0 0 | 1 1 2 1 0
.o. .o.    | * 6 * | 0  2  0 2 1 0 | 0 1 2 0 0  2 1 2 0 | 1 0 1 2 1
..o ..o    | * * 6 | 0  0  2 0 1 2 | 0 0 0 1 2  2 0 2 1 | 0 1 1 2 1
-----------+-------+---------------+--------------------+----------
x.. ...    | 2 0 0 | 6  *  * * * * | 1 1 0 1 0  0 0 0 0 | 1 1 1 0 0
oo.6oo.&#x | 1 1 0 | * 12  * * * * | 0 1 1 0 0  1 0 0 0 | 1 0 1 1 0
o.o6o.o&#x | 1 0 1 | *  * 12 * * * | 0 0 0 1 1  1 0 0 0 | 0 1 1 1 0
... .x.    | 0 2 0 | *  *  * 6 * * | 0 0 1 0 0  0 1 1 0 | 1 0 0 1 1
.oo6.oo&#x | 0 1 1 | *  *  * * 6 * | 0 0 0 0 0  2 0 2 0 | 0 0 1 2 1
... ..x    | 0 0 2 | *  *  * * * 6 | 0 0 0 0 1  0 0 1 1 | 0 1 0 1 1
-----------+-------+---------------+--------------------+----------
x..6o..    | 6 0 0 | 6  0  0 0 0 0 | 1 * * * *  * * * * | 1 1 0 0 0
xo. ...&#x | 2 1 0 | 1  2  0 0 0 0 | * 6 * * *  * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0  2  0 1 0 0 | * * 6 * *  * * * * | 1 0 0 1 0
x.o ...&#x | 2 0 1 | 1  0  2 0 0 0 | * * * 6 *  * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0  0  2 0 0 1 | * * * * 6  * * * * | 0 1 0 1 0
ooo6ooo&#x | 1 1 1 | 0  1  1 0 1 0 | * * * * * 12 * * * | 0 0 1 1 0
.o.6.x.    | 0 6 0 | 0  0  0 6 0 0 | * * * * *  * 1 * * | 1 0 0 0 1
... .xx&#x | 0 2 2 | 0  0  0 1 2 1 | * * * * *  * * 6 * | 0 0 0 1 1
..o6..x    | 0 0 6 | 0  0  0 0 0 6 | * * * * *  * * * 1 | 0 1 0 0 1
-----------+-------+---------------+--------------------+----------
xo.6ox.&#x ♦ 6 6 0 | 6 12  0 6 0 0 | 1 6 6 0 0  0 1 0 0 | 1 * * * *
x.o6o.x&#x ♦ 6 0 6 | 6  0 12 0 0 6 | 1 0 0 6 6  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 | * * 6 * *
... oxx&#x ♦ 1 2 2 | 0  2  2 1 2 1 | 0 0 1 0 1  2 0 1 0 | * * * 6 *
.oo6.xx&#x ♦ 0 6 6 | 0  0  0 6 6 6 | 0 0 0 0 0  0 1 6 1 | * * * * 1

xo6ox ox&#x   → height = sqrt[4 sqrt(3)-5]/2 = 0.694299
({6} || gyro hip)

o. o. o.    | 6  * | 2  4  0 0 | 1  4  2  2 0 0 | 2 2 1 0
.o .o .o    | * 12 | 0  2  2 1 | 0  1  2  2 1 2 | 1 1 2 1
------------+------+-----------+----------------+--------
x. .. ..    | 2  0 | 6  *  * * | 1  2  0  0 0 0 | 2 1 0 0
oo6oo oo&#x | 1  1 | * 24  * * | 0  1  1  1 0 0 | 1 1 1 0
.. .x ..    | 0  2 | *  * 12 * | 0  0  1  0 1 1 | 1 0 1 1
.. .. .x    | 0  2 | *  *  * 6 | 0  0  0  2 0 2 | 0 1 2 1
------------+------+-----------+----------------+--------
x.6o. ..    | 6  0 | 6  0  0 0 | 1  *  *  * * * | 2 0 0 0
xo .. ..&#x | 2  1 | 1  2  0 0 | * 12  *  * * * | 1 1 0 0
.. ox ..&#x | 1  2 | 0  2  1 0 | *  * 12  * * * | 1 0 1 0
.. .. ox&#x | 1  2 | 0  2  0 1 | *  *  * 12 * * | 0 1 1 0
.o6.x ..    | 0  6 | 0  0  6 0 | *  *  *  * 2 * | 1 0 0 1
.. .x .x    | 0  4 | 0  0  2 2 | *  *  *  * * 6 | 0 0 1 1
------------+------+-----------+----------------+--------
xo6ox ..&#x ♦ 6  6 | 6 12  6 0 | 1  6  6  0 1 0 | 2 * * *
xo .. ox&#x ♦ 2  2 | 1  4  0 1 | 0  2  0  2 0 0 | * 6 * *
.. ox ox&#x ♦ 1  4 | 0  4  2 2 | 0  0  2  2 0 1 | * * 6 *
.o6.x .x    ♦ 0 12 | 0  0 12 6 | 0  0  0  0 2 6 | * * * 1

snubbed forms: xo6os2os

{6} || hap   → height = sqrt[(7-sqrt(3))/8] = 0.811476

o.. o..    | 6 * * | 2  2  2 0 0 0 | 1 2 1 2 1  2 0 0 0 | 1 1 2 1 0
.o. .o.    | * 6 * | 0  2  0 2 1 0 | 0 1 2 0 0  2 1 2 0 | 1 0 1 2 1
..o ..o    | * * 6 | 0  0  2 0 1 2 | 0 0 0 1 2  2 0 2 1 | 0 1 1 2 1
-----------+-------+---------------+--------------------+----------
x.. ...    | 2 0 0 | 6  *  * * * * | 1 1 0 1 0  0 0 0 0 | 1 1 1 0 0
oo.6oo.&#x | 1 1 0 | * 12  * * * * | 0 1 1 0 0  1 0 0 0 | 1 0 1 1 0
o.o6o.o&#x | 1 0 1 | *  * 12 * * * | 0 0 0 1 1  1 0 0 0 | 0 1 1 1 0
... .x.    | 0 2 0 | *  *  * 6 * * | 0 0 1 0 0  0 1 1 0 | 1 0 0 1 1
.oo6.oo&#x | 0 1 1 | *  *  * * 6 * | 0 0 0 0 0  2 0 2 0 | 0 0 1 2 1
... ..x    | 0 0 2 | *  *  * * * 6 | 0 0 0 0 1  0 0 1 1 | 0 1 0 1 1
-----------+-------+---------------+--------------------+----------
x..6o..    | 6 0 0 | 6  0  0 0 0 0 | 1 * * * *  * * * * | 1 1 0 0 0
xo. ...&#x | 2 1 0 | 1  2  0 0 0 0 | * 6 * * *  * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0  2  0 1 0 0 | * * 6 * *  * * * * | 1 0 0 1 0
x.o ...&#x | 2 0 1 | 1  0  2 0 0 0 | * * * 6 *  * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0  0  2 0 0 1 | * * * * 6  * * * * | 0 1 0 1 0
ooo6ooo&#x | 1 1 1 | 0  1  1 0 1 0 | * * * * * 12 * * * | 0 0 1 1 0
.o.6.x.    | 0 6 0 | 0  0  0 6 0 0 | * * * * *  * 1 * * | 1 0 0 0 1
... .xx&#x | 0 2 2 | 0  0  0 1 2 1 | * * * * *  * * 6 * | 0 0 0 1 1
..o6..x    | 0 0 6 | 0  0  0 0 0 6 | * * * * *  * * * 1 | 0 1 0 0 1
-----------+-------+---------------+--------------------+----------
xo.6ox.&#x ♦ 6 6 0 | 6 12  0 6 0 0 | 1 6 6 0 0  0 1 0 0 | 1 * * * *
x.o6o.x&#x ♦ 6 0 6 | 6  0 12 0 0 6 | 1 0 0 6 6  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 | * * 6 * *
... oxx&#x ♦ 1 2 2 | 0  2  2 1 2 1 | 0 0 1 0 1  2 0 1 0 | * * * 6 *
.oo6.xx&#x ♦ 0 6 6 | 0  0  0 6 6 6 | 0 0 0 0 0  0 1 6 1 | * * * * 1