Acronym hautope
Name hexa-augmented tope
Dihedral angles
  • at {4} between hip and squippy: arccos(-[1+sqrt(2)]/sqrt(6)) = 170.264390°
  • at {4} between squippy and toe: 135°
  • at {3} between squippy and squippy: 120°
  • at {4} between hip and hip:   arccos(-1/3) = 109.471221°
  • at {6} between hip and toe: 90°
Confer
blend-component:
tope   cubpy  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xb3xo4oo xo&#zx   → height = 0, where b = x+w/q = 2.707107
(tegum sum of tope and b-oct

o.3o.4o. o.    | 48 * |  1  2  1  1 |  2  1  1  2  2  1 | 1 2  1  2
.o3.o4.o .o    |  * 6   0  0  0  8 |  0  0  0  0  8  4 | 0 0  2  4
---------------+------+-------------+-------------------+----------
x. .. .. ..    |  2 0 | 24  *  *  * |  2  1  0  0  0  0 | 1 2  0  0
.. x. .. ..    |  2 0 |  * 48  *  * |  1  0  1  1  1  0 | 1 1  1  1
.. .. .. x.    |  2 0 |  *  * 24  * |  0  1  0  2  0  1 | 0 2  0  2
oo3oo4oo oo&#x |  1 1 |  *  *  * 48 |  0  0  0  0  2  1 | 0 0  1  2
---------------+------+-------------+-------------------+----------
x.3x. .. ..    |  6 0 |  3  3  0  0 | 16  *  *  *  *  * | 1 1  0  0
x. .. .. x.    |  4 0 |  2  0  2  0 |  * 12  *  *  *  * | 0 2  0  0
.. x.4o. ..    |  4 0 |  0  4  0  0 |  *  * 12  *  *  * | 1 0  1  0
.. x. .. x.    |  4 0 |  0  2  2  0 |  *  *  * 24  *  * | 0 1  0  1
.. xo .. ..&#x |  2 1 |  0  1  0  2 |  *  *  *  * 48  * | 0 0  1  1
.. .. .. xo&#x |  2 1 |  0  0  1  2 |  *  *  *  *  * 24 | 0 0  0  2
---------------+------+-------------+-------------------+----------
x.3x.4o. ..     24 0 | 12 24  0  0 |  8  0  6  0  0  0 | 2 *  *  *
x.3x. .. x.     12 0 |  6  6  6  0 |  2  3  0  3  0  0 | * 8  *  *
.. xo4oo ..&#x   4 1 |  0  4  0  4 |  0  0  1  0  4  0 | * * 12  *
.. xo .. xo&#x   4 1 |  0  2  2  4 |  0  0  0  1  2  2 | * *  * 24

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