Acronym	tripuf, K-4.51
Name	trigonal pucofastegium, triangle - hexagon-prismatic wedge, trigonal magnabicupolaic ring, {3} || hip, {6} || tricu, {3}-first cap of srip
Segmentochoron display
Circumradius	sqrt(7/5) = 1.183216
Lace city in approx. ASCII-art	x3x x3x x3o
	o o x x o x x u x x
Dihedral angles	at {3} between squippy and trip:   arccos[-sqrt(3/8)] = 127.761244° at {4} between tricu and trip:   arccos[-1/sqrt(6)] = 114.094843° at {3} between squippy and tricu:   arccos(-1/4) = 104.477512° at {3} between tricu and tricu:   arccos(1/4) = 75.522488° at {4} between hip and squippy:   arccos(1/sqrt(6)) = 65.905157° at {6} between hip and tricu:   arccos(sqrt[3/8]) = 52.238756° at {4} between hip and trip:   arccos(2/3) = 48.189685°
Face vector	15, 33, 27, 9
Confer	segmentochora family: {n} || 2n-p   uniform relative: srip   related CRFs: {3}-diminished srip   etripuf   general polytopal classes: segmentochora   lace simplices
External links

Incidence matrix according to Dynkin symbol

xxx3oxx&#x   → height(1,2) = height(1,3) = sqrt(2/3) = 0.816497
               height(2,3) = 1

o..3o..    | 3 * * | 2 2 2 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0
.o.3.o.    | * 6 * | 0 1 0 1 1 1 0 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1
..o3..o    | * * 6 | 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
-----------+-------+-----------------+---------------------+----------
x.. ...    | 2 0 0 | 3 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
oo.3oo.&#x | 1 1 0 | * 6 * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
o.o3o.o&#x | 1 0 1 | * * 6 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.x. ...    | 0 2 0 | * * * 3 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x.    | 0 2 0 | * * * * 3 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1
.oo3.oo&#x | 0 1 1 | * * * * * 6 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ...    | 0 0 2 | * * * * * * 3 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
... ..x    | 0 0 2 | * * * * * * * 3 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
-----------+-------+-----------------+---------------------+----------
x..3o..    | 3 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 0 | * * * 3 * * * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0 0 2 0 0 0 0 1 | * * * * 3 * * * * * | 0 1 0 1 0
ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0
.x.3.x.    | 0 6 0 | 0 0 0 3 3 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * 3 * * | 0 0 1 0 1
... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * 3 * | 0 0 0 1 1
..x3..x    | 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+-----------------+---------------------+----------
xx.3ox.&#x ♦ 3 6 0 | 3 6 0 3 3 0 0 0 | 1 3 3 0 0 0 1 0 0 0 | 1 * * * *
x.x3o.x&#x ♦ 3 0 6 | 3 0 6 0 0 0 3 3 | 1 0 0 3 3 0 0 0 0 1 | * 1 * * *
xxx ...&#x ♦ 2 2 2 | 1 2 2 1 0 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 3 * *
... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 3 *
.xx3.xx&#x ♦ 0 6 6 | 0 0 0 3 3 6 3 3 | 0 0 0 0 0 0 1 3 3 1 | * * * * 1

ox xx3ox&#x   → height = sqrt(5/12) = 0.645497
({3} || hip)

o. o.3o.    | 3  * | 2  4 0 0 0 | 1 2 4 2 0 0 0 | 2 1 2 0
.o .o3.o    | * 12 | 0  1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
------------+------+------------+---------------+--------
.. x. ..    | 2  0 | 3  * * * * | 1 0 2 0 0 0 0 | 1 0 2 0
oo oo3oo&#x | 1  1 | * 12 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .. ..    | 0  2 | *  * 6 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .x ..    | 0  2 | *  * * 6 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x    | 0  2 | *  * * * 6 | 0 0 0 1 0 1 1 | 0 1 1 1
------------+------+------------+---------------+--------
.. x.3o.    | 3  0 | 3  0 0 0 0 | 1 * * * * * * | 0 0 2 0
ox .. ..&#x | 1  2 | 0  2 1 0 0 | * 6 * * * * * | 1 1 0 0
.. xx ..&#x | 2  2 | 1  2 0 1 0 | * * 6 * * * * | 1 0 1 0
.. .. ox&#x | 1  2 | 0  2 0 0 1 | * * * 6 * * * | 0 1 1 0
.x .x ..    | 0  4 | 0  0 2 2 0 | * * * * 3 * * | 1 0 0 1
.x .. .x    | 0  4 | 0  0 2 0 2 | * * * * * 3 * | 0 1 0 1
.. .x3.x    | 0  6 | 0  0 0 3 3 | * * * * * * 2 | 0 0 1 1
------------+------+------------+---------------+--------
ox xx ..&#x ♦ 2  4 | 1  4 2 2 0 | 0 2 2 0 1 0 0 | 3 * * *
ox .. ox&#x ♦ 1  4 | 0  4 2 0 2 | 0 2 0 2 0 1 0 | * 3 * *
.. xx3ox&#x ♦ 3  6 | 3  6 0 3 3 | 1 0 3 3 0 0 1 | * * 2 *
.x .x3.x    ♦ 0 12 | 0  0 6 6 6 | 0 0 0 0 3 3 2 | * * * 1

{6} || tricu   → height = sqrt(5/8) = 0.790569

  6 * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
  * 3 * | 0 0 2 0 2 2 0 0 | 0 2 1 0 0 2 1 2 1 0 | 1 0 2 1 1
  * * 6 | 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
--------+-----------------+---------------------+----------
  2 0 0 | 3 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
  2 0 0 | * 3 * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
  1 1 0 | * * 6 * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
  1 0 1 | * * * 6 * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
  0 2 0 | * * * * 3 * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
  0 1 1 | * * * * * 6 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
  0 0 2 | * * * * * * 3 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
  0 0 2 | * * * * * * * 3 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
--------+-----------------+---------------------+----------
  6 0 0 | 3 3 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
  2 2 0 | 1 0 2 0 1 0 0 0 | * 3 * * * * * * * * | 1 0 1 0 0
  2 1 0 | 0 1 2 0 0 0 0 0 | * * 3 * * * * * * * | 1 0 0 1 0
  2 0 2 | 1 0 0 2 0 0 1 0 | * * * 3 * * * * * * | 0 1 1 0 0
  2 0 2 | 0 1 0 2 0 0 0 1 | * * * * 3 * * * * * | 0 1 0 1 0
  1 1 1 | 0 0 1 1 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0
  0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
  0 2 2 | 0 0 0 0 1 2 1 0 | * * * * * * * 3 * * | 0 0 1 0 1
  0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * 3 * | 0 0 0 1 1
  0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * 1 | 0 1 0 0 1
--------+-----------------+---------------------+----------
♦ 6 3 0 | 3 3 6 0 3 0 0 0 | 1 3 3 0 0 0 1 0 0 0 | 1 * * * *
♦ 6 0 6 | 3 3 0 6 0 0 3 3 | 1 0 0 3 3 0 0 0 0 1 | * 1 * * *
♦ 2 2 2 | 1 0 2 2 1 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 3 * *
♦ 2 1 2 | 0 1 2 2 0 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 3 *
♦ 0 3 6 | 0 0 0 0 3 6 3 3 | 0 0 0 0 0 0 1 3 3 1 | * * * * 1