Acronym ritahin
Name rit atop hin,
(rit,+gyro hex, -gyro hex)-trigonic
Circumradius sqrt(5/3) = 1.290994
Lace city
in approx. ASCII-art
  R  		-- x3o3x *b3o (rit)
     
O   E		-- xo3oo3ox *b3oo&#x (hin)


where:
R = x3o3x *b3o (rit)
O = x3o3o *b3o ("odd gyrated" hex)
E = o3o3x *b3o ("even gyrated" hex)
Face vector 48, 240, 472, 416, 163, 27
Confer
uniform relative:
rojak  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

xxo3ooo3oxx *b3ooo&#x   → all pw. heights = 1/sqrt(2) = 0.707107

o..3o..3o.. *b3o..    & | 16  * |  6  4  4  0 | 12 12  6  4 18  0  0 |  4  4 12  6  4 18 16  6 0  0 | 1  4  4  1 16  6 4  5 0 | 1 4  5 1
.o.3.o.3.o. *b3.o.      |  * 32 |  0  2  0  6 |  0  6  6  1  0  6  3 |  0  0  6  6  6  6  0  0 3  2 | 0  6  2  2  6  3 0  0 1 | 2 3  2 0
------------------------+-------+-------------+----------------------+------------------------------+-------------------------+---------
x.. ... ...    ...    & |  2  0 | 48  *  *  * |  4  2  0  0  2  0  0 |  2  2  4  1  0  2  4  1 0  0 | 1  2  2  0  4  1 2  2 0 | 1 2  2 1
oo.3oo.3oo. *b3oo.&#x & |  1  1 |  * 64  *  * |  0  3  3  1  0  0  0 |  0  0  3  3  3  6  0  0 0  0 | 0  3  1  1  6  3 0  0 0 | 1 3  2 0
o.o3o.o3o.o *b3o.o&#x   |  2  0 |  *  * 32  * |  0  0  0  1  6  0  0 |  0  0  0  0  0  6  6  3 0  0 | 0  0  0  0  6  3 3  2 0 | 0 3  2 1
.x. ... ...    ...    & |  0  2 |  *  *  * 96 |  0  1  1  0  0  2  1 |  0  0  2  2  2  1  0  0 2  1 | 0  4  1  1  2  1 0  0 1 | 2 2  1 0
------------------------+-------+-------------+----------------------+------------------------------+-------------------------+---------
x..3o.. ...    ...    & |  3  0 |  3  0  0  0 | 64  *  *  *  *  *  * |  1  1  1  0  0  0  1  0 0  0 | 1  1  1  0  1  0 1  1 0 | 1 1  1 1
xx. ... ...    ...&#x & |  2  2 |  1  2  0  1 |  * 96  *  *  *  *  * |  0  0  2  1  0  1  0  0 0  0 | 0  2  1  0  2  1 0  0 0 | 1 2  1 0
... ... ox.    ...&#x & |  1  2 |  0  2  0  1 |  *  * 96  *  *  *  * |  0  0  0  1  2  1  0  0 0  0 | 0  2  0  1  2  1 0  0 0 | 1 2  1 0
ooo3ooo3ooo *b3ooo&#x   |  2  1 |  0  2  1  0 |  *  *  * 32  *  *  * |  0  0  0  0  0  6  0  0 0  0 | 0  0  0  0  6  3 0  0 0 | 0 3  2 0
x.o ... ...    ...&#x & |  3  0 |  1  0  2  0 |  *  *  *  * 96  *  * |  0  0  0  0  0  1  2  1 0  0 | 0  0  0  0  2  1 2  1 0 | 0 2  1 1
.x.3.o. ...    ...    & |  0  3 |  0  0  0  3 |  *  *  *  *  * 64  * |  0  0  1  0  1  0  0  0 1  1 | 0  2  1  1  1  0 0  0 1 | 2 1  1 0
.x. ... .x.    ...      |  0  4 |  0  0  0  4 |  *  *  *  *  *  * 24 |  0  0  0  2  0  0  0  0 2  0 | 0  4  0  0  0  1 0  0 1 | 2 2  0 0
------------------------+-------+-------------+----------------------+------------------------------+-------------------------+---------
x..3o..3o..    ...    &   4  0 |  6  0  0  0 |  4  0  0  0  0  0  0 | 16  *  *  *  *  *  *  * *  * | 1  1  0  0  0  0 1  0 0 | 1 1  0 1
x..3o.. ... *b3o..    &   4  0 |  6  0  0  0 |  4  0  0  0  0  0  0 |  * 16  *  *  *  *  *  * *  * | 1  0  1  0  0  0 0  1 0 | 1 0  1 1
xx.3oo. ...    ...&#x &   3  3 |  3  3  0  3 |  1  3  0  0  0  1  0 |  *  * 64  *  *  *  *  * *  * | 0  1  1  0  1  0 0  0 0 | 1 1  1 0
xx. ... ox.    ...&#x &   2  4 |  1  4  0  4 |  0  2  2  0  0  0  1 |  *  *  * 48  *  *  *  * *  * | 0  2  0  0  0  1 0  0 0 | 1 2  0 0
... oo.3ox.    ...&#x &   1  3 |  0  3  0  3 |  0  0  3  0  0  1  0 |  *  *  *  * 64  *  *  * *  * | 0  1  0  1  1  0 0  0 0 | 1 1  1 0
xxo ... ...    ...&#x &   3  2 |  1  4  2  1 |  0  1  1  2  1  0  0 |  *  *  *  *  * 96  *  * *  * | 0  0  0  0  2  1 0  0 0 | 0 2  1 0
x.o3o.o ...    ...&#x &   4  0 |  3  0  3  0 |  1  0  0  0  3  0  0 |  *  *  *  *  *  * 64  * *  * | 0  0  0  0  1  0 1  1 0 | 0 1  1 1
x.o ... o.x    ...&#x     4  0 |  2  0  4  0 |  0  0  0  0  4  0  0 |  *  *  *  *  *  *  * 24 *  * | 0  0  0  0  0  1 2  0 0 | 0 2  0 1
.x.3.o.3.x.    ...        0 12 |  0  0  0 24 |  0  0  0  0  0  8  6 |  *  *  *  *  *  *  *  * 8  * | 0  2  0  0  0  0 0  0 1 | 2 1  0 0
.x.3.o. ... *b3.o.    &   0  4 |  0  0  0  6 |  0  0  0  0  0  4  0 |  *  *  *  *  *  *  *  * * 16 | 0  0  1  1  0  0 0  0 1 | 2 0  1 0
------------------------+-------+-------------+----------------------+------------------------------+-------------------------+---------
x..3o..3o.. *b3o..    &   8  0 | 24  0  0  0 | 32  0  0  0  0  0  0 |  8  8  0  0  0  0  0  0 0  0 | 2  *  *  *  *  * *  * * | 1 0  0 1
xx.3oo.3ox.    ...&#x &   4 12 |  6 12  0 24 |  4 12 12  0  0  8  6 |  1  0  4  6  4  0  0  0 1  0 | * 16  *  *  *  * *  * * | 1 1  0 0
xx.3oo. ... *b3oo.&#x &   4  4 |  6  4  0  6 |  4  6  0  0  0  4  0 |  0  1  4  0  0  0  0  0 0  1 | *  * 16  *  *  * *  * * | 1 0  1 0
... oo.3ox. *b3oo.&#x &   1  4 |  0  4  0  6 |  0  0  6  0  0  4  0 |  0  0  0  0  4  0  0  0 0  1 | *  *  * 16  *  * *  * * | 1 0  1 0
xxo3ooo ...    ...&#x &   4  3 |  3  6  3  3 |  1  3  3  3  3  1  0 |  0  0  1  0  1  3  1  0 0  0 | *  *  *  * 64  * *  * * | 0 1  1 0
xxo ... oxx    ...&#x     4  4 |  2  8  4  4 |  0  4  4  4  4  0  1 |  0  0  0  2  0  4  0  1 0  0 | *  *  *  *  * 24 *  * * | 0 2  0 0
x.o3o.o3o.x    ...&#x     8  0 | 12  0 12  0 |  8  0  0  0 24  0  0 |  2  0  0  0  0  0  8  6 0  0 | *  *  *  *  *  * 8  * * | 0 1  0 1
x.o3o.o ... *b3o.o&#x &   5  0 |  6  0  4  0 |  4  0  0  0  6  0  0 |  0  1  0  0  0  0  4  0 0  0 | *  *  *  *  *  * * 16 * | 0 0  1 1
.x.3.o.3.x. *b3.o.        0 32 |  0  0  0 96 |  0  0  0  0  0 64 24 |  0  0  0  0  0  0  0  0 8 16 | *  *  *  *  *  * *  * 1 | 2 0  0 0
------------------------+-------+-------------+----------------------+------------------------------+-------------------------+---------
xx.3oo.3ox. *b3oo.&#x &   8 32 | 24 32  0 96 | 32 48 48  0  0 64 24 |  8  8 32 24 32  0  0  0 8 16 | 1  8  8  8  0  0 0  0 1 | 2 *  * *
xxo3ooo3oxx    ...&#x     8 12 | 12 24 12 24 |  8 24 24 12 24  8  6 |  2  0  8 12  8 24  8  6 1  0 | 0  2  0  0  8  6 1  0 0 | * 8  * *
xxo3ooo ... *b3ooo&#x &   5  4 |  6  8  4  6 |  4  6  6  4  6  4  0 |  0  1  4  0  4  6  4  0 0  1 | 0  0  1  1  4  0 0  1 0 | * * 16 *
x.o3o.o3o.x *b3o.o&#x    16  0   48  0 32  0 | 64  0  0  0 96  0  0 | 16 16  0  0  0  0 64 24 0  0 | 2  0  0  0  0  0 8 16 0 | * *  * 1

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