Acronym bidsrip
Name bidiminished small rhombated pentachoron
  
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Circumradius sqrt(7/5) = 1.183216
Lace city
in approx. ASCII-art 
      x x      
               
               
   x u   u x   
               
               
x x  ou uo  x x
Dihedral angles
  • at {6} between hip and tricu:   arccos(-sqrt(3/8)) = 127.761244°
  • at {3} between squippy and trip:   arccos[-sqrt(3/8)] = 127.761244°
  • at {4} between co and trip:   arccos[-1/sqrt(6)] = 114.094843°
  • at {4} between hip and squippy:   arccos[-1/sqrt(6)] = 114.094843°
  • at {4} between tricu and trip:   arccos[-1/sqrt(6)] = 114.094843°
  • at {3} between co and squippy:   arccos(-1/4) = 104.477512°
  • at {3} between squippy and tricu:   arccos(-1/4) = 104.477512°
  • at {3} between co and tricu:   arccos(1/4) = 75.522488°
  • at {3} between tricu and tricu:   arccos(1/4) = 75.522488°
  • at {4} between co and hip:   arccos(1/sqrt(6)) = 65.905157°
  • at {4} between hip and tricu:   arccos(1/sqrt(6)) = 65.905157°
  • at {4} between hip and hip:   arccos(2/3) = 48.189685°
Face vector 24, 60, 51, 15
Confer
uniform relative:
srip  
segmentochora:
{3} || hip  
related CRFs:
diminished srip  

Srip allows for 2 simultanuous diminishings by {3} || hip segmentochora, each providing a new hip facet, which mutually connect here at a lateral square with prism axes being orthogonal. (A single such diminishing would result in the {3}-diminished srip.)

Srip could be seen as oct || tut || co. Either diminishing here cuts off half of the oct, one hexagon-hexagon edge of the (pseudo) tut, and just scratches at a square of the bottom co. Accordingly applying both results in a complete omition of the oct (being reduced to its central square), the tut would be reduced to an irregular hexahedron (with 2 faces being 2:1-rectangles and 4 being 2:1:1:1-trapeziums). For the co those scratched squares would be in polar positions.


Incidence matrix

{4} || pseudo bidiminished tut || co   → both heights = sqrt(5/8) = 0.790569

4 * * * | 2 2 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 0 0 0 0 | 2 2 0 0 0  hip-hip square (top) ones
* 8 * * | 0 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 2 1 1 0 0 0 0 | 1 2 1 1 0  intermediates
* * 8 * | 0 0 0 0 1 0 1 1 1 1 | 0 0 1 0 1 1 0 1 1 1 1 1 | 1 1 1 1 1  polar ones of bottom co
* * * 4 | 0 0 0 0 0 2 0 0 2 2 | 0 0 0 0 0 2 1 2 0 2 1 1 | 0 1 2 1 1  medial ones of bottom co
--------+---------------------+-------------------------+----------
2 0 0 0 | 4 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0
1 1 0 0 | * 8 * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0
0 2 0 0 | * * 4 * * * * * * * | 0 1 0 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0  hip-lacing
0 2 0 0 | * * * 4 * * * * * * | 0 0 0 1 0 2 0 0 0 0 0 0 | 0 2 1 0 0  wedge-edges
0 1 1 0 | * * * * 8 * * * * * | 0 0 1 0 1 1 0 1 0 0 0 0 | 1 1 1 1 0
0 1 0 1 | * * * * * 8 * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
0 0 2 0 | * * * * * * 4 * * * | 0 0 1 0 0 0 0 0 1 0 1 0 | 1 1 0 0 1  hip-base
0 0 2 0 | * * * * * * * 4 * * | 0 0 0 0 1 0 0 0 1 0 0 1 | 1 0 0 1 1  hip-lacing
0 0 1 1 | * * * * * * * * 8 * | 0 0 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1  tricu-lacing
0 0 1 1 | * * * * * * * * * 8 | 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 1 1 1  squippy-lacing
--------+---------------------+-------------------------+----------
4 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 2 0 0 0 0
2 2 0 0 | 1 2 1 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * | 1 1 0 0 0
2 2 2 0 | 1 2 0 0 2 0 1 0 0 0 | * * 4 * * * * * * * * * | 1 1 0 0 0
1 2 0 0 | 0 2 0 1 0 0 0 0 0 0 | * * * 4 * * * * * * * * | 0 2 0 0 0
0 2 2 0 | 0 0 1 0 2 0 0 1 0 0 | * * * * 4 * * * * * * * | 1 0 0 1 0
0 2 1 1 | 0 0 0 1 1 1 0 0 1 0 | * * * * * 8 * * * * * * | 0 1 1 0 0
0 2 0 1 | 0 0 1 0 0 2 0 0 0 0 | * * * * * * 4 * * * * * | 0 1 0 1 0
0 1 1 1 | 0 0 0 0 1 1 0 0 0 1 | * * * * * * * 8 * * * * | 0 0 1 1 0
0 0 4 0 | 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * 2 * * * | 1 0 0 0 1
0 0 2 2 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * 4 * * | 0 0 1 0 1
0 0 2 1 | 0 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * 4 * | 0 1 0 0 1
0 0 2 1 | 0 0 0 0 0 0 0 1 0 2 | * * * * * * * * * * * 4 | 0 0 0 1 1
--------+---------------------+-------------------------+----------
4 4 4 0 | 4 4 2 0 4 0 2 2 0 0 | 1 2 2 0 2 0 0 0 1 0 0 0 | 2 * * * *  hip
2 4 2 1 | 1 4 1 2 2 2 1 0 2 0 | 0 1 1 2 0 2 1 0 0 0 1 0 | * 4 * * *  tricu
0 2 2 2 | 0 0 0 1 2 2 0 0 2 2 | 0 0 0 0 0 2 0 2 0 1 0 0 | * * 4 * *  trip
0 2 2 1 | 0 0 1 0 2 2 0 1 0 2 | 0 0 0 0 1 0 1 2 0 0 0 1 | * * * 4 *  squippy
0 0 8 4 | 0 0 0 0 0 0 4 4 8 8 | 0 0 0 0 0 0 0 0 2 4 4 4 | * * * * 1  co

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