Acronym autepe
Name augmented tetrahedral prism
Lace city
in approx. ASCII-art 
      o3o      
               
x3o         x3o
               
               
               
o3o         o3o

    o o      
             
x x       x o
             
             
             
    x o
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between squippy and trip:   arccos[-sqrt((41-4 sqrt(10))/54)] = 136.433934°
  • at {3} between squippy and tet:   arccos(-1/4) = 104.477512°
  • at {3} between tet and trip:   90°
  • at {3} between squippy and squippy:   arccos(1/4) = 75.522488°
  • at {4} between trip and trip:   arccos(1/3) = 70.528779°
Face vector 9, 22, 23, 10
Confer
segmentochora:
tepe   trippy  
general polytopal classes:
bistratic lace towers  

This augmentation is nothing but the external blend (or: adjoin) of trippy and tepe.


Incidence matrix according to Dynkin symbol

oxx oxo3ooo&#xt   → height(1,2) = sqrt(5/12) = 0.645497
                    height(2,3) = sqrt(2/3) = 0.816497
(point || pseudo trip || (para) line)

o.. o..3o..    | 1 * * ♦ 6 0 0 0 0 | 3 6 0 0 0 0 | 3 2 0 0
.o. .o.3.o.    | * 6 * | 1 1 2 1 0 | 1 2 2 1 1 2 | 2 1 2 1
..o ..o3..o    | * * 2 | 0 0 0 3 1 | 0 0 0 0 3 3 | 0 0 3 1
---------------+-------+-----------+-------------+--------
oo. oo.3oo.&#x | 1 1 0 | 6 * * * * | 1 2 0 0 0 0 | 2 1 0 0
.x. ... ...    | 0 2 0 | * 3 * * * | 1 0 2 0 1 0 | 2 0 2 0
... .x. ...    | 0 2 0 | * * 6 * * | 0 1 1 1 0 1 | 1 1 1 1
.oo .oo3.oo&#x | 0 1 1 | * * * 6 * | 0 0 0 0 1 2 | 0 0 2 1
..x ... ...    | 0 0 2 | * * * * 1 | 0 0 0 0 3 0 | 0 0 3 0
---------------+-------+-----------+-------------+--------
ox. ... ...&#x | 1 2 0 | 2 1 0 0 0 | 3 * * * * * | 2 0 0 0
... ox. ...&#x | 1 2 0 | 2 0 1 0 0 | * 6 * * * * | 1 1 0 0
.x. .x. ...    | 0 4 0 | 0 2 2 0 0 | * * 3 * * * | 1 0 1 0
... .x.3.o.    | 0 3 0 | 0 0 3 0 0 | * * * 2 * * | 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 1 0 2 1 | * * * * 3 * | 0 0 2 0
... .xo ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * * 6 | 0 0 1 1
---------------+-------+-----------+-------------+--------
ox. ox. ...&#x ♦ 1 4 0 | 4 2 2 0 0 | 2 2 1 0 0 0 | 3 * * *
... ox.3oo.&#x ♦ 1 3 0 | 3 0 3 0 0 | 0 3 0 1 0 0 | * 2 * *
.xx .xo ...&#x ♦ 0 4 2 | 0 2 2 4 1 | 0 0 1 0 2 2 | * * 3 *
... .xo3.oo&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 1 0 3 | * * * 2

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