Acronym tetripau tuttip
Name trip-wise tetra-augmented tuttip
Dihedral angles
  • at {4} between hip and squippy:   arccos[-(1+sqrt(40))/sqrt(54)] = 175.376378°
  • at {3} between tet and tut:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between squippy and tet:   arccos(-1/4) = 104.477512°
  • at {6} between hip and tut:   90°
  • at {3} between squippy and squippy:   arccos(1/4) = 75.522488°
  • at {4} between hip and hip:   arccos(1/3) = 70.528779°
Confer
blend-component:
tuttip   trippy  
general polytopal classes:
bistratic lace towers  

For this polychoron every trip of tuttip will be augmented accordingly.


Incidence matrix according to Dynkin symbol

xb3xo3oo xo&#zx   → height = 0, where b = (5+sqrt(10))/3 = 2.720759
(tegum sum of tuttip and b-tet

o.3o.3o. o.    | 24 * |  1  2  1  1 | 2 1 1  2  2  1 | 1 2 1  2
.o3.o3.o .o    |  * 4   0  0  0  6 | 0 0 0  0  6  3 | 0 0 2  3
---------------+------+-------------+----------------+---------
x. .. .. ..    |  2 0 | 12  *  *  * | 2 1 0  0  0  0 | 1 2 0  0
.. x. .. ..    |  2 0 |  * 24  *  * | 1 0 1  1  1  0 | 1 1 1  1
.. .. .. x.    |  2 0 |  *  * 12  * | 0 1 0  2  0  1 | 0 2 0  2
oo3oo3oo oo&#x |  1 1 |  *  *  * 24 | 0 0 0  0  2  1 | 0 0 1  2
---------------+------+-------------+----------------+---------
x.3x. .. ..    |  6 0 |  3  3  0  0 | 8 * *  *  *  * | 1 1 0  0
x. .. .. x.    |  4 0 |  2  0  2  0 | * 6 *  *  *  * | 0 2 0  0
.. x.3o. ..    |  3 0 |  0  3  0  0 | * * 8  *  *  * | 1 0 1  0
.. x. .. x.    |  4 0 |  0  2  2  0 | * * * 12  *  * | 0 1 0  1
.. xo .. ..&#x |  2 1 |  0  1  0  2 | * * *  * 24  * | 0 0 1  1
.. .. .. xo&#x |  2 1 |  0  0  1  2 | * * *  *  * 12 | 0 0 0  2
---------------+------+-------------+----------------+---------
x.3x.3o. ..     12 0 |  6 12  0  0 | 4 0 4  0  0  0 | 2 * *  *
x.3x. .. x.     12 0 |  6  6  6  0 | 2 3 0  3  0  0 | * 4 *  *
.. xo3oo ..&#x   3 1 |  0  3  0  3 | 0 0 1  0  3  0 | * * 8  *
.. xo .. xo&#x   4 1 |  0  2  2  4 | 0 0 0  1  2  2 | * * * 12

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