Acronym snit
Name pyritohedron,
pyritosnub tetrahedron,
vertex alternated toe
Circumradius sqrt(5/2) = 1.581139
Snub derivation
Face vector 12, 30, 20
Confer
more general:
general pyritohedral ike  
uniform variant:
ike  
general polytopal classes:
isogonal  
External
links
wikipedia  

This polyhedron is isogonal only. It reflects the mere alternated faceting of the above depicted snub derivation wrt. a vertex alternation with starting figure toe.

It also can be considered to be the special case Qqo oQq qoQ&#zh (where Q = 2q) of the general pyritohedral ike.


Incidence matrix according to Dynkin symbol

s3s3s

demi( . . . ) | 12 | 1  2  2 | 1 1  3
--------------+----+---------+-------
      s 2 s   |  2 | 6  *  * | 0 0  2  q
sefa( s3s . ) |  2 | * 12  * | 1 0  1  h
sefa( . s3s ) |  2 | *  * 12 | 0 1  1  h
--------------+----+---------+-------
      s3s .     3 | 0  3  0 | 4 *  *  h3o
      . s3s     3 | 0  0  3 | * 4  *  h3o
sefa( s3s3s ) |  3 | 1  1  1 | * * 12  oq&#h

starting figure: x3x3x

s3s4o

demi( . . . ) | 12 | 1  4 | 2  3
--------------+----+------+-----
      . s4o   |  2 | 6  * | 0  2  q
sefa( s3s . ) |  2 | * 24 | 1  1  h
--------------+----+------+-----
      s3s .     3 | 0  3 | 8  *  h3o
sefa( s3s4o ) |  3 | 1  2 | * 12  oq&#h

starting figure: x3x4o

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