Acronym hexu
Name hexadecachoron-based ursateron,
hex-based ursulate,
vertex figure of s3s4o3o3o4o
Circumradius sqrt[3+sqrt(5)]/2 = 1.144123
Inradius
wrt. hex
sqrt[1+sqrt(5)]/2 = 0.899454
Inradius
wrt. octpy
sqrt[1+sqrt(5)]/2 = 0.899454
Inradius
wrt. ico
sqrt[sqrt(5)-1]/2 = 0.555893
Inradius
wrt. tetu
sqrt[sqrt(5)-1]/2 = 0.555893
Face vector 40, 176, 248, 136, 26
Confer
general polytopal classes:
ursatopes  
analogs:
ursatope oUn  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo4ooo&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                        height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(ico || pseudo f-hex || hex)

o..3o..3o..4o..     | 24 * * |  8  2 0  0 |  4  8  1  8  0 |  4 2  4  8  0 | 1  4 2 0
.o.3.o.3.o.4.o.     |  * 8 * |  0  6 1  0 |  0  0  6 12  0 |  0 0 12  8  0 | 0  8 1 0
..o3..o3..o4..o     |  * * 8 |  0  0 1  6 |  0  0  6  0 12 |  0 0 12  0  8 | 0  8 0 1
--------------------+--------+------------+----------------+---------------+---------
... x.. ... ...     |  2 0 0 | 96  * *  * |  1  2  0  1  0 |  2 1  1  2  0 | 1  2 1 0
oo.3oo.3oo.4oo.&#x  |  1 1 0 |  * 48 *  * |  0  0  1  4  0 |  0 0  4  4  0 | 0  4 1 0
.oo3.oo3.oo4.oo&#x  |  0 1 1 |  *  * 8  *   0  0  6  0  0 |  0 0 12  0  0 | 0  8 0 0
..x ... ... ...     |  0 0 2 |  *  * * 24 |  0  0  1  0  4 |  0 0  4  0  4 | 0  4 0 1
--------------------+--------+------------+----------------+---------------+---------
o..3x.. ... ...     |  3 0 0 |  3  0 0  0 | 32  *  *  *  * |  2 0  1  0  0 | 1  2 0 0
... x..3o.. ...     |  3 0 0 |  3  0 0  0 |  * 64  *  *  * |  1 1  0  1  0 | 1  1 1 0
ofx ... ... ...&#xt |  1 2 2 |  0  2 2  1 |  *  * 24  *  * |  0 0  4  0  0 | 0  4 0 0
... xo. ... ...&#x  |  2 1 0 |  1  2 0  0 |  *  *  * 96  * |  0 0  1  2  0 | 0  2 1 0
..x3..o ... ...     |  0 0 3 |  0  0 0  3 |  *  *  *  * 32 |  0 0  1  0  2 | 0  2 0 1
--------------------+--------+------------+----------------+---------------+---------
o..3x..3o.. ...       6 0 0 | 12  0 0  0 |  4  4  0  0  0 | 16 *  *  *  * | 1  1 0 0
... x..3o..4o..       6 0 0 | 12  0 0  0 |  0  8  0  0  0 |  * 8  *  *  * | 1  0 1 0
ofx3xoo ... ...&#xt   3 3 3 |  3  6 3  3 |  1  0  3  3  1 |  * * 32  *  * | 0  2 0 0
... xo.3oo. ...&#x    3 1 0 |  3  3 0  0 |  0  1  0  3  0 |  * *  * 64  * | 0  1 1 0
..x3..o3..o ...       0 0 4 |  0  0 0  6 |  0  0  0  0  4 |  * *  *  * 16 | 0  1 0 1
--------------------+--------+------------+----------------+---------------+---------
o..3x..3o..4o..      24 0 0 | 96  0 0  0 | 32 64  0  0  0 | 16 8  0  0  0 | 1  * * *
ofx3xoo3ooo ...&#xt   6 4 4 | 12 12 4  6 |  4  4  6 12  4 |  1 0  4  4  1 | * 16 * *
... xo.3oo.4oo.&#x    6 1 0 | 12  6 0  0 |  0  8  0 12  0 |  0 1  0  8  0 | *  * 8 *
..x3..o3..o4..o       0 0 8 |  0  0 0 24 |  0  0  0  0 32 |  0 0  0  0 16 | *  * * 1

ofx3xoo3ooo *b3ooo&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                           height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(ico || pseudo f-hex || hex)

o..3o..3o.. *b3o..     | 24 * * |  8  2 0  0 |  4  4  4  1  8  0 | 2 2 2  4  4  4 0 0 | 1 2 2 2 0
.o.3.o.3.o. *b3.o.     |  * 8 * |  0  6 1  0 |  0  0  0  6 12  0 | 0 0 0 12  4  4 0 0 | 0 4 4 1 0
..o3..o3..o *b3..o     |  * * 8 |  0  0 1  6 |  0  0  0  6  0 12 | 0 0 0 12  0  0 4 4 | 0 4 4 0 1
-----------------------+--------+------------+-------------------+--------------------+----------
... x.. ...    ...     |  2 0 0 | 96  * *  * |  1  1  1  0  1  0 | 1 1 1  1  1  1 0 0 | 1 1 1 1 0
oo.3oo.3oo. *b3oo.&#x  |  1 1 0 |  * 48 *  * |  0  0  0  1  4  0 | 0 0 0  4  2  2 0 0 | 0 2 2 1 0
.oo3.oo3.oo *b3.oo&#x  |  0 1 1 |  *  * 8  *   0  0  0  6  0  0 | 0 0 0 12  0  0 0 0 | 0 4 4 0 0
..x ... ...    ...     |  0 0 2 |  *  * * 24 |  0  0  0  1  0  4 | 0 0 0  4  0  0 2 2 | 0 2 2 0 1
-----------------------+--------+------------+-------------------+--------------------+----------
o..3x.. ...    ...     |  3 0 0 |  3  0 0  0 | 32  *  *  *  *  * | 1 1 0  1  0  0 0 0 | 1 1 1 0 0
... x..3o..    ...     |  3 0 0 |  3  0 0  0 |  * 32  *  *  *  * | 1 0 1  0  1  0 0 0 | 1 1 0 1 0
... x.. ... *b3o..     |  3 0 0 |  3  0 0  0 |  *  * 32  *  *  * | 0 1 1  0  0  1 0 0 | 1 0 1 1 0
ofx ... ...    ...&#xt |  1 2 2 |  0  2 2  1 |  *  *  * 24  *  * | 0 0 0  4  0  0 0 0 | 0 2 2 0 0
... xo. ...    ...&#x  |  2 1 0 |  1  2 0  0 |  *  *  *  * 96  * | 0 0 0  1  1  1 0 0 | 0 1 1 1 0
..x3..o ...    ...     |  0 0 3 |  0  0 0  3 |  *  *  *  *  * 32 | 0 0 0  1  0  0 1 1 | 0 1 1 0 1
-----------------------+--------+------------+-------------------+--------------------+----------
o..3x..3o..    ...       6 0 0 | 12  0 0  0 |  4  4  0  0  0  0 | 8 * *  *  *  * * * | 1 1 0 0 0
o..3x.. ... *b3o..       6 0 0 | 12  0 0  0 |  4  0  4  0  0  0 | * 8 *  *  *  * * * | 1 0 1 0 0
... x..3o.. *b3o..       6 0 0 | 12  0 0  0 |  0  4  4  0  0  0 | * * 8  *  *  * * * | 1 0 0 1 0
ofx3xoo ...    ...&#xt   3 3 3 |  3  6 3  3 |  1  0  0  3  3  1 | * * * 32  *  * * * | 0 1 1 0 0
... xo.3oo.    ...&#x    3 1 0 |  3  3 0  0 |  0  1  0  0  3  0 | * * *  * 32  * * * | 0 1 0 1 0
... xo. ... *b3oo.&#x    3 1 0 |  3  3 0  0 |  0  0  1  0  3  0 | * * *  *  * 32 * * | 0 0 1 1 0
..x3..o3..o    ...       0 0 4 |  0  0 0  6 |  0  0  0  0  0  4 | * * *  *  *  * 8 * | 0 1 0 0 1
..x3..o ... *b3..o       0 0 4 |  0  0 0  6 |  0  0  0  0  0  4 | * * *  *  *  * * 8 | 0 0 1 0 1
-----------------------+--------+------------+-------------------+--------------------+----------
o..3x..3o.. *b3o..      24 0 0 | 96  0 0  0 | 32 32 32  0  0  0 | 8 8 8  0  0  0 0 0 | 1 * * * *
ofx3xoo3ooo    ...&#xt   6 4 4 | 12 12 4  6 |  4  4  0  6 12  4 | 1 0 0  4  4  0 1 0 | * 8 * * *
ofx3xoo ... *b3ooo&#xt   6 4 4 | 12 12 4  6 |  4  0  4  6 12  4 | 0 1 0  4  0  4 0 1 | * * 8 * *
... xo.3oo. *b3oo.&#x    6 1 0 | 12  6 0  0 |  0  4  4  0 12  0 | 0 0 1  0  4  4 0 0 | * * * 8 *
..x3..o3..o *b3..o       0 0 8 |  0  0 0 24 |  0  0  0  0  0 32 | 0 0 0  0  0  0 8 8 | * * * * 1

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