Acronym trippy, K-4.7
Name trigonal-prismatic pyramid,
vertex pyramid of the rectified pentachoron
|,>,O device line pyramid prism pyramid = |>|>
Segmentochoron display
Circumradius sqrt(3/5) = 0.774597
Lace city
in approx. ASCII-art
   o3o   
         
x3o   x3o
  x o    
         
         
o o   x x
Dihedral angles
  • at {3} between squippy and tet:   arccos(-1/4) = 104.477512°
  • at {3} between squippy and squippy:   arccos(1/4) = 75.522488°
  • at {4} between squippy and trip:   arccos(sqrt[1/6]) = 65.905157°
  • at {3} between tet and trip:   arccos(sqrt[3/8]) = 52.238756°
Confer
general pyramids:
pt || n-p  
uniform relative:
rap  
related CRFs:
tript  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox ox3oo&#x   → height = sqrt(5/12) = 0.645497
(pt || trip)

o. o.3o.    | 1 *  6 0 0 | 3 6 0 0 | 3 2 0
.o .o3.o    | * 6 | 1 1 2 | 1 2 2 1 | 2 1 1
------------+-----+-------+---------+------
oo oo3oo&#x | 1 1 | 6 * * | 1 2 0 0 | 2 1 0
.x .. ..    | 0 2 | * 3 * | 1 0 2 0 | 2 0 1
.. .x ..    | 0 2 | * * 6 | 0 1 1 1 | 1 1 1
------------+-----+-------+---------+------
ox .. ..&#x | 1 2 | 2 1 0 | 3 * * * | 2 0 0
.. ox ..&#x | 1 2 | 2 0 1 | * 6 * * | 1 1 0
.x .x ..    | 0 4 | 0 2 2 | * * 3 * | 1 0 1
.. .x3.o    | 0 3 | 0 0 3 | * * * 2 | 0 1 1
------------+-----+-------+---------+------
ox ox ..&#x  1 4 | 4 2 2 | 2 2 1 0 | 3 * *
.. ox3oo&#x  1 3 | 3 0 3 | 0 3 0 1 | * 2 *
.x .x3.o     0 6 | 0 3 6 | 0 0 3 2 | * * 1

{3} || tet   → height = sqrt(5/8) = 0.790569
              shear = 1/sqrt(6) = 0.408248

  3 * * | 2 1 1 0 0 | 1 2 2 1 0 0 | 1 1 2 0
  * 1 *  0 3 0 3 0 | 0 3 0 3 3 0 | 1 0 3 1
  * * 3 | 0 0 1 1 2 | 0 0 2 1 2 1 | 0 1 2 1
--------+-----------+-------------+--------
  2 0 0 | 3 * * * * | 1 1 1 0 0 0 | 1 1 1 0
  1 1 0 | * 3 * * * | 0 2 0 1 0 0 | 1 0 2 0
  1 0 1 | * * 3 * * | 0 0 2 1 0 0 | 0 1 2 0
  0 1 1 | * * * 3 * | 0 0 0 1 2 0 | 0 0 2 1
  0 0 2 | * * * * 3 | 0 0 1 0 1 1 | 0 1 1 1
--------+-----------+-------------+--------
  3 0 0 | 3 0 0 0 0 | 1 * * * * * | 1 1 0 0
  2 1 0 | 1 2 0 0 0 | * 3 * * * * | 1 0 1 0
  2 0 2 | 1 0 2 0 1 | * * 3 * * * | 0 1 1 0
  1 1 1 | 0 1 1 1 0 | * * * 3 * * | 0 0 2 0
  0 1 2 | 0 0 0 2 1 | * * * * 3 * | 0 0 1 1
  0 0 3 | 0 0 0 0 3 | * * * * * 1 | 0 1 0 1
--------+-----------+-------------+--------
 3 1 0 | 3 3 0 0 0 | 1 3 0 0 0 0 | 1 * * *
 3 0 3 | 3 0 3 0 3 | 1 0 3 0 0 1 | * 1 * *
 2 1 2 | 1 2 2 2 1 | 0 1 1 2 1 0 | * * 3 *
 0 1 3 | 0 0 0 3 3 | 0 0 0 0 3 1 | * * * 1

line || squippy   → height = sqrt(5/8) = 0.790569
                   shear = 1/sqrt(8) = 0.353553

  2 * * | 1 1 2 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
  * 1 *  0 2 0 4 0 0 | 1 0 4 0 2 2 0 | 2 0 2 1
  * * 4 | 0 0 1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
--------+-------------+---------------+--------
  2 0 0 | 1 * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
  1 1 0 | * 2 * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
  1 0 1 | * * 4 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
  0 1 1 | * * * 4 * * | 0 0 1 0 1 1 0 | 1 0 1 1
  0 0 2 | * * * * 2 * | 0 1 0 0 1 0 1 | 1 1 0 1 para
  0 0 2 | * * * * * 2 | 0 0 0 1 0 1 1 | 0 1 1 1 ortho
--------+-------------+---------------+--------
  2 1 0 | 1 2 0 0 0 0 | 1 * * * * * * | 2 0 0 0
  2 0 2 | 1 0 2 0 1 0 | * 2 * * * * * | 1 1 0 0
  1 1 1 | 0 1 1 1 0 0 | * * 4 * * * * | 1 0 1 0
  1 0 2 | 0 0 2 0 0 1 | * * * 2 * * * | 0 1 1 0
  0 1 2 | 0 0 0 2 1 0 | * * * * 2 * * | 1 0 0 1
  0 1 2 | 0 0 0 2 0 1 | * * * * * 2 * | 0 0 1 1
  0 0 4 | 0 0 0 0 2 2 | * * * * * * 1 | 0 1 0 1
--------+-------------+---------------+--------
 2 1 2 | 1 2 2 2 1 0 | 1 1 2 0 1 0 0 | 2 * * *
 2 0 4 | 1 0 4 0 2 2 | 0 2 0 2 0 0 1 | * 1 * *
 1 1 2 | 0 1 2 2 0 1 | 0 0 2 1 0 1 0 | * * 2 *
 0 1 4 | 0 0 0 4 2 2 | 0 0 0 0 2 2 1 | * * * 1

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