Acronym esquippidpy
Name elongated square-pyramidal bipyramid,
esquidpy-wedge,
half of partially (mono-)expanded hex
Lace city
in approx. ASCII-art
    o4o   o4o    
                 
o4o x4o   x4o o4o
Dihedral angles
  • at {3} between tet and trip:   150°
  • at {3} between tet and tet:   120°
  • at {4} between trip and trip:   arccos(-1/3) = 109.471221°
  • at {3} between esquidpy and tet:   60°
  • at {4} between esquidpy and trip:   arccos[1/sqrt(3)] = 54.735610°
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
related segmentochora:
octpy   squippyp  
related CRFs:
pex hex   etedpy (n=3)  

Incidence matrix

pt || pseudo squippy || pseudo squippy || pt   → outer heights = 1/sqrt(2) = 0.707107
                                              medial height = 1

1 * * * * * | 1 4 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 | 4 1 0 0  top tip, verf = squippy
* 1 * * * * | 1 0 4 1 0 0 0 0 0 0 | 4 0 4 4 0 0 0 0 | 4 0 4 0  upper pyramidal tip
* * 4 * * * | 0 1 1 0 2 1 0 0 0 0 | 1 2 2 1 2 0 0 0 | 2 1 2 0  upper pyramidal base vertices
* * * 1 * * | 0 0 0 1 0 0 4 1 0 0 | 0 0 0 4 0 4 4 0 | 0 0 4 4  lower pyramidal tip
* * * * 4 * | 0 0 0 0 0 1 1 0 2 1 | 0 0 0 1 2 2 1 2 | 0 1 2 2  lower pyramidal base vertices
* * * * * 1 | 0 0 0 0 0 0 0 1 0 4 | 0 0 0 0 0 0 4 4 | 0 1 0 4  bottom tip, verf = squippy
------------+---------------------+-----------------+--------
1 1 0 0 0 0 | 1 * * * * * * * * * | 4 0 0 0 0 0 0 0 | 4 0 0 0
1 0 1 0 0 0 | * 4 * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0
0 1 1 0 0 0 | * * 4 * * * * * * * | 1 0 2 1 0 0 0 0 | 2 0 2 0
0 1 0 1 0 0 | * * * 1 * * * * * * | 0 0 0 4 0 0 0 0 | 0 0 4 0  line atop
0 0 2 0 0 0 | * * * * 4 * * * * * | 0 1 1 0 1 0 0 0 | 1 1 1 0
0 0 1 0 1 0 | * * * * * 4 * * * * | 0 0 0 1 2 0 0 0 | 0 1 2 0
0 0 0 1 1 0 | * * * * * * 4 * * * | 0 0 0 1 0 2 1 0 | 0 0 2 2
0 0 0 1 0 1 | * * * * * * * 1 * * | 0 0 0 0 0 0 4 0 | 0 0 0 4
0 0 0 0 2 0 | * * * * * * * * 4 * | 0 0 0 0 1 1 0 1 | 0 1 1 1
0 0 0 0 1 1 | * * * * * * * * * 4 | 0 0 0 0 0 0 1 2 | 0 1 0 2
------------+---------------------+-----------------+--------
1 1 1 0 0 0 | 1 1 1 0 0 0 0 0 0 0 | 4 * * * * * * * | 2 0 0 0
1 0 2 0 0 0 | 0 2 0 0 1 0 0 0 0 0 | * 4 * * * * * * | 1 1 0 0
0 1 2 0 0 0 | 0 0 2 0 1 0 0 0 0 0 | * * 4 * * * * * | 1 0 1 0
0 1 1 1 1 0 | 0 0 1 1 0 1 1 0 0 0 | * * * 4 * * * * | 0 0 2 0
0 0 2 0 2 0 | 0 0 0 0 1 2 0 0 1 0 | * * * * 4 * * * | 0 1 1 0
0 0 0 1 2 0 | 0 0 0 0 0 0 2 0 1 0 | * * * * * 4 * * | 0 0 1 1
0 0 0 1 1 1 | 0 0 0 0 0 0 1 1 0 1 | * * * * * * 4 * | 0 0 0 2
0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 1 2 | * * * * * * * 4 | 0 1 0 1
------------+---------------------+-----------------+--------
1 1 2 0 0 0 | 1 2 2 0 1 0 0 0 0 0 | 2 1 1 0 0 0 0 0 | 4 * * *  tet
1 0 4 0 4 1 | 0 4 0 0 4 4 0 0 4 4 | 0 4 0 0 4 0 0 4 | * 1 * *  esquidpy
0 1 2 1 2 0 | 0 0 2 1 1 2 2 0 1 0 | 0 0 1 2 1 1 0 0 | * * 4 *  trip
0 0 0 1 2 1 | 0 0 0 0 0 0 2 1 1 2 | 0 0 0 0 0 1 2 1 | * * * 4  tet

line || esquidpy   → height = 1/sqrt(2) = 0.707107

2 * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 1 4 0  esquidpy tips, verf = squippy
* 2 * | 1 0 1 4 0 0 | 4 0 4 4 0 | 0 4 4
* * 8 | 0 1 0 1 2 1 | 1 2 1 2 2 | 1 2 2  esquidpy medials
------+-------------+-----------+------
1 1 0 | 2 * * * * * | 4 0 0 0 0 | 0 4 0
1 0 1 | * 8 * * * * | 1 2 0 0 0 | 1 2 0
0 2 0 | * * 1 * * * | 0 0 4 0 0 | 0 0 4  line atop
0 1 1 | * * * 8 * * | 1 0 1 2 0 | 0 2 2
0 0 2 | * * * * 8 * | 0 1 0 1 1 | 1 1 1  lattidudal
0 0 2 | * * * * * 4 | 0 0 1 0 2 | 1 0 2  meridianal
------+-------------+-----------+------
1 1 1 | 1 1 0 1 0 0 | 8 * * * * | 0 2 0
1 0 2 | 0 2 0 0 1 0 | * 8 * * * | 1 1 0
0 2 2 | 0 0 1 2 0 1 | * * 4 * * | 0 0 2
0 1 2 | 0 0 0 2 1 0 | * * * 8 * | 0 1 1
0 0 4 | 0 0 0 0 2 2 | * * * * 4 | 1 0 1
------+-------------+-----------+------
2 0 8 | 0 8 0 0 8 4 | 0 8 0 0 4 | 1 * *  esquidpy
1 1 2 | 1 2 0 2 1 0 | 2 1 0 1 0 | * 8 *  tet
0 2 4 | 0 0 1 4 2 2 | 0 0 2 2 1 | * * 4  trip

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