Acronym ...
Name rap atop tetaco,
0.352416-lune of rat,
oct-first lune of rat,
(tet,oct,tet,co)-cycle lace ring
Circumradius 1
Lace city
in approx. ASCII-art 
   o3x3o   x3o3o
                
                
x3o3o   x3o3x
Dihedral angles
  • at co between tetaco and tetaco:   arccos(-3/5) = 126.869898°
  • at oct between rap and rap:   arccos(-3/5) = 126.869898°
  • at oct between rap and traf:   arccos(-3/5) = 126.869898°
  • at oct between traf and traf:   arccos(-3/5) = 126.869898°
  • at squippy between traf and trippy:   arccos(-3/5) = 126.869898°
  • at squippy between trippy and trippy:   arccos(-3/5) = 126.869898°
  • at tet between octpy and rap:   arccos[-1/sqrt(5)] = 116.565051°
  • at tet between octpy and traf:   arccos[-1/sqrt(5)] = 116.565051°
  • at tet between octpy and trippy:   arccos[-1/sqrt(5)] = 116.565051°
  • at tet between octpy and tetaco:   arccos(1/sqrt(5)) = 63.434949°
  • at tet between rap and tetaco:   arccos(1/sqrt(5)) = 63.434949°
  • ...
Face vector 26, 120, 198, 134, 32
Confer
uniform relative:
rat  
related segmentotera:
rapaspid  
general polytopal classes:
segmentotera  

The dihedral angle at co between tetaco and tetaco is arccos(-3/5) = 126.869898°, which is 0.352416 of the full circle.


Incidence matrix according to Dynkin symbol

oqo oxx3xoo3oox&#xt   → both heights = 1/sqrt(8) = 0.353553
(oct || pseudo q-laced tepe || co)

o.. o..3o..3o..     | 6 *  * ♦  4  4  4  0  0  0  0 | 2 2  2  8  8  2  4  2 0  0  0 0 0 0 | 1 4 4  4  8  4 2 1 2 0 0  0 0 0 | 2 4  2 4 0
.o. .o.3.o.3.o.     | * 8  * |  0  3  0  3  3  0  0 | 0 0  3  3  6  0  0  0 3  6  3 0 0 0 | 0 3 1  6  3  3 0 0 0 1 3  3 1 0 | 1 3  3 1 1
..o ..o3..o3..o     | * * 12 |  0  0  2  0  2  2  2 | 0 0  0  0  4  2  1  2 0  4  4 1 2 1 | 0 0 0  4  2  4 1 2 1 0 2  4 2 1 | 0 2  4 2 2
--------------------+--------+----------------------+-------------------------------------+---------------------------------+-----------
... ... x.. ...     | 2 0  0 | 12  *  *  *  *  *  * | 1 1  0  2  0  0  1  0 0  0  0 0 0 0 | 1 2 2  0  2  0 1 0 1 0 0  0 0 0 | 2 2  0 2 0
oo. oo.3oo.3oo.&#x  | 1 1  0 |  * 24  *  *  *  *  * | 0 0  1  2  2  0  0  0 0  0  0 0 0 0 | 0 2 1  2  2  1 0 0 0 0 0  0 0 0 | 1 2  1 1 0
o.o o.o3o.o3o.o&#x  | 1 0  1 |  *  * 24  *  *  *  * | 0 0  0  0  2  1  1  1 0  0  0 0 0 0 | 0 0 0  2  2  2 1 1 1 0 0  0 0 0 | 0 2  2 2 0
... .x. ... ...     | 0 2  0 |  *  *  * 12  *  *  * | 0 0  1  0  0  0  0  0 2  2  0 0 0 0 | 0 2 0  2  0  0 0 0 0 1 2  1 0 0 | 1 2  1 0 1
.oo .oo3.oo3.oo&#x  | 0 1  1 |  *  *  *  * 24  *  * | 0 0  0  0  2  0  0  0 0  2  2 0 0 0 | 0 0 0  2  1  2 0 0 0 0 1  2 1 0 | 0 1  2 1 1
... ..x ... ...     | 0 0  2 |  *  *  *  *  * 12  * | 0 0  0  0  0  1  0  0 0  2  0 1 1 0 | 0 0 0  2  0  0 1 1 0 0 2  2 0 1 | 0 2  2 0 2
... ... ... ..x     | 0 0  2 |  *  *  *  *  *  * 12 | 0 0  0  0  0  0  0  1 0  0  2 0 1 1 | 0 0 0  0  0  2 0 1 1 0 0  2 2 1 | 0 0  2 2 2
--------------------+--------+----------------------+-------------------------------------+---------------------------------+-----------
... o..3x.. ...     | 3 0  0 |  3  0  0  0  0  0  0 | 4 *  *  *  *  *  *  * *  *  * * * * | 1 2 0  0  0  0 1 0 0 0 0  0 0 0 | 2 2  0 0 0
... ... x..3o..     | 3 0  0 |  3  0  0  0  0  0  0 | * 4  *  *  *  *  *  * *  *  * * * * | 1 0 2  0  0  0 0 0 1 0 0  0 0 0 | 2 0  0 2 0
... ox. ... ...&#x  | 1 2  0 |  0  2  0  1  0  0  0 | * * 12  *  *  *  *  * *  *  * * * * | 0 2 0  2  0  0 0 0 0 0 0  0 0 0 | 1 2  1 0 0
... ... xo. ...&#x  | 2 1  0 |  1  2  0  0  0  0  0 | * *  * 24  *  *  *  * *  *  * * * * | 0 1 1  0  1  0 0 0 0 0 0  0 0 0 | 1 1  0 1 0
ooo ooo3ooo3ooo&#x  | 1 1  1 |  0  1  1  0  1  0  0 | * *  *  * 48  *  *  * *  *  * * * * | 0 0 0  1  1  1 0 0 0 0 0  0 0 0 | 0 1  1 1 0
... o.x ... ...&#x  | 1 0  2 |  0  0  2  0  0  1  0 | * *  *  *  * 12  *  * *  *  * * * * | 0 0 0  2  0  0 1 1 0 0 0  0 0 0 | 0 2  2 0 0
... ... x.o ...&#x  | 2 0  1 |  1  0  2  0  0  0  0 | * *  *  *  *  * 12  * *  *  * * * * | 0 0 0  0  2  0 1 0 1 0 0  0 0 0 | 0 2  0 2 0
... ... ... o.x&#x  | 1 0  2 |  0  0  2  0  0  0  1 | * *  *  *  *  *  * 12 *  *  * * * * | 0 0 0  0  0  2 0 1 1 0 0  0 0 0 | 0 0  2 2 0
... .x.3.o. ...     | 0 3  0 |  0  0  0  3  0  0  0 | * *  *  *  *  *  *  * 8  *  * * * * | 0 1 0  0  0  0 0 0 0 1 1  0 0 0 | 1 1  0 0 1
... .xx ... ...&#x  | 0 2  2 |  0  0  0  1  2  1  0 | * *  *  *  *  *  *  * * 24  * * * * | 0 0 0  1  0  0 0 0 0 0 1  1 0 0 | 0 1  1 0 1
... ... ... .ox&#x  | 0 1  2 |  0  0  0  0  2  0  1 | * *  *  *  *  *  *  * *  * 24 * * * | 0 0 0  0  0  1 0 0 0 0 0  1 1 0 | 0 0  1 1 1
... ..x3..o ...     | 0 0  3 |  0  0  0  0  0  3  0 | * *  *  *  *  *  *  * *  *  * 4 * * | 0 0 0  0  0  0 1 0 0 0 2  0 0 1 | 0 2  0 0 2
... ..x ... ..x     | 0 0  4 |  0  0  0  0  0  2  2 | * *  *  *  *  *  *  * *  *  * * 6 * | 0 0 0  0  0  0 0 1 0 0 0  2 0 1 | 0 0  2 0 2
... ... ..o3..x     | 0 0  3 |  0  0  0  0  0  0  3 | * *  *  *  *  *  *  * *  *  * * * 4 | 0 0 0  0  0  0 0 0 1 0 0  0 2 1 | 0 0  0 2 2
--------------------+--------+----------------------+-------------------------------------+---------------------------------+-----------
... o..3x..3o..     ♦ 6 0  0 | 12  0  0  0  0  0  0 | 4 4  0  0  0  0  0  0 0  0  0 0 0 0 | 1 * *  *  *  * * * * * *  * * * | 2 0  0 0 0
... ox.3xo. ...&#x  ♦ 3 3  0 |  3  6  0  3  0  0  0 | 1 0  3  3  0  0  0  0 1  0  0 0 0 0 | * 8 *  *  *  * * * * * *  * * * | 1 1  0 0 0
... ... xo.3oo.&#x  ♦ 3 1  0 |  3  3  0  0  0  0  0 | 0 1  0  3  0  0  0  0 0  0  0 0 0 0 | * * 8  *  *  * * * * * *  * * * | 1 0  0 1 0
... oxx ... ...&#x  ♦ 1 2  2 |  0  2  2  1  2  1  0 | 0 0  1  0  2  1  0  0 0  1  0 0 0 0 | * * * 24  *  * * * * * *  * * * | 0 1  1 0 0
... ... xoo ...&#x  ♦ 2 1  1 |  1  2  2  0  1  0  0 | 0 0  0  1  2  0  1  0 0  0  0 0 0 0 | * * *  * 24  * * * * * *  * * * | 0 1  0 1 0
... ... ... oox&#x  ♦ 1 1  2 |  0  1  2  0  2  0  1 | 0 0  0  0  2  0  0  1 0  0  1 0 0 0 | * * *  *  * 24 * * * * *  * * * | 0 0  1 1 0
... o.x3x.o ...&#x  ♦ 3 0  3 |  3  0  6  0  0  3  0 | 1 0  0  0  0  3  3  0 0  0  0 1 0 0 | * * *  *  *  * 4 * * * *  * * * | 0 2  0 0 0
... o.x ... o.x&#x  ♦ 1 0  4 |  0  0  4  0  0  2  2 | 0 0  0  0  0  2  0  2 0  0  0 0 1 0 | * * *  *  *  * * 6 * * *  * * * | 0 0  2 0 0
... ... x.o3o.x&#x  ♦ 3 0  3 |  3  0  6  0  0  0  3 | 0 1  0  0  0  0  3  3 0  0  0 0 0 1 | * * *  *  *  * * * 4 * *  * * * | 0 0  0 2 0
... .x.3.o.3.o.     ♦ 0 4  0 |  0  0  0  6  0  0  0 | 0 0  0  0  0  0  0  0 4  0  0 0 0 0 | * * *  *  *  * * * * 2 *  * * * | 1 0  0 0 1
... .xx3.oo ...&#x  ♦ 0 3  3 |  0  0  0  3  3  3  0 | 0 0  0  0  0  0  0  0 1  3  0 1 0 0 | * * *  *  *  * * * * * 8  * * * | 0 1  0 0 1
... .xx ... .ox&#x  ♦ 0 2  4 |  0  0  0  1  4  2  2 | 0 0  0  0  0  0  0  0 0  2  2 0 1 0 | * * *  *  *  * * * * * * 12 * * | 0 0  1 0 1
... ... .oo3.ox&#x  ♦ 0 1  3 |  0  0  0  0  3  0  3 | 0 0  0  0  0  0  0  0 0  0  3 0 0 1 | * * *  *  *  * * * * * *  * 8 * | 0 0  0 1 1
... ..x3..o3..x     ♦ 0 0 12 |  0  0  0  0  0 12 12 | 0 0  0  0  0  0  0  0 0  0  0 4 6 4 | * * *  *  *  * * * * * *  * * 1 | 0 0  0 0 2
--------------------+--------+----------------------+-------------------------------------+---------------------------------+-----------
... ox.3xo.3oo.&#x  ♦ 6 4  0 | 12 12  0  6  0  0  0 | 4 4  6 12  0  0  0  0 4  0  0 0 0 0 | 1 4 4  0  0  0 0 0 0 1 0  0 0 0 | 2 *  * * *
... oxx3xoo ...&#x  ♦ 3 3  3 |  3  6  6  3  3  3  0 | 1 0  3  3  6  3  3  0 1  3  0 1 0 0 | 0 1 0  3  3  0 1 0 0 0 1  0 0 0 | * 8  * * *
... oxx ... oox&#x  ♦ 1 2  4 |  0  2  4  1  4  2  2 | 0 0  1  0  4  2  0  2 0  2  2 0 1 0 | 0 0 0  2  0  2 0 1 0 0 0  1 0 0 | * * 12 * *
... ... xoo3oox&#x  ♦ 3 1  3 |  3  3  6  0  3  0  3 | 0 1  0  3  6  0  3  3 0  0  3 0 0 1 | 0 0 1  0  3  3 0 0 1 0 0  0 1 0 | * *  * 8 *
... .xx3.oo3.ox&#x  ♦ 0 4 12 |  0  0  0  6 12 12 12 | 0 0  0  0  0  0  0  0 4 12 12 4 6 4 | 0 0 0  0  0  0 0 0 0 1 4  6 4 1 | * *  * * 2


oxxx3xooo3ooxo&#xr   → height(1,2) = height(3,4) = height(1,4) = height(2,3) = sqrt(5/8) = 0.790569
                       height(12,34) = height(14,23) = sqrt(2/5) = 0.632456 (as: rap || tetaco)
(cycle of oct, tet, co, tet)

...

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