Acronym etepe
Name elongated tetrahedral-prism,
elongated-triangular-pyramid prism,
external blend of tetrahedral prism and (triangle,square)-duoprism
Dihedral angles
  • at {4} between cube and trip (across rim):   arccos(-sqrt[8/9]) = 160.528779°
  • at {4} between cube and etripy:   90°
  • at {4} between cube and trip (within tisdip):   90°
  • at {3} between etripy and trip:   90°
  • at {4} between trip and trip:   arccos(1/3) = 70.528779°
  • at {4} between cube and cube:   60°
Confer
blend-component:
tepe   tisdip  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx oxx3ooo&#xt   → height(1,2) = sqrt(2/3) = 0.816497
                    height(2,3) = 1
(line || pseudo trip || trip)

o.. o..3o..     | 2 * * | 1 3 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0
.o. .o.3.o.     | * 6 * | 0 1 1 2 1 0 0 | 1 2 2 1 2 0 0 | 2 1 2 0
..o ..o3..o     | * * 6 | 0 0 0 0 1 1 2 | 0 0 0 1 2 2 1 | 0 1 2 1
----------------+-------+---------------+---------------+--------
x.. ... ...     | 2 0 0 | 1 * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0
oo. oo.3oo.&#x  | 1 1 0 | * 6 * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.x. ... ...     | 0 2 0 | * * 3 * * * * | 1 0 2 1 0 0 0 | 2 0 2 0
... .x. ...     | 0 2 0 | * * * 6 * * * | 0 1 1 0 1 0 0 | 1 1 1 0
.oo .oo3.oo&#x  | 0 1 1 | * * * * 6 * * | 0 0 0 1 2 0 0 | 0 1 2 0
..x ... ...     | 0 0 2 | * * * * * 3 * | 0 0 0 1 0 2 0 | 0 0 2 1
... ..x ...     | 0 0 2 | * * * * * * 6 | 0 0 0 0 1 1 1 | 0 1 1 1
----------------+-------+---------------+---------------+--------
xx. ... ...&#x  | 2 2 0 | 1 2 1 0 0 0 0 | 3 * * * * * * | 2 0 0 0
... ox. ...&#x  | 1 2 0 | 0 2 0 1 0 0 0 | * 6 * * * * * | 1 1 0 0
.x. .x. ...     | 0 4 0 | 0 0 2 2 0 0 0 | * * 3 * * * * | 1 0 1 0
.xx ... ...&#x  | 0 2 2 | 0 0 1 0 2 1 0 | * * * 3 * * * | 0 0 2 0
... .xx ...&#x  | 0 2 2 | 0 0 0 1 2 0 1 | * * * * 6 * * | 0 1 1 0
..x ..x ...     | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * 3 * | 0 0 1 1
... ..x3..o     | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * 2 | 0 1 0 1
----------------+-------+---------------+---------------+--------
xx. ox. ...&#x   2 4 0 | 1 4 2 2 0 0 0 | 2 2 1 0 0 0 0 | 3 * * *
... oxx3ooo&#xt  1 3 3 | 0 3 0 3 3 0 3 | 0 3 0 0 3 0 1 | * 2 * *
.xx .xx ...&#x   0 4 4 | 0 0 2 2 4 2 2 | 0 0 1 2 2 1 0 | * * 3 *
..x ..x3..o      0 0 6 | 0 0 0 0 0 3 6 | 0 0 0 0 0 3 2 | * * * 1

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