Acronym pysna
Name s2s3s4x,
pyritosnub alterprism,
edge-alternated great-rhombicuboctahedronal prism,
edge-snub octahedral hosochoron
Circumradius ...
Face vector 48, 144, 136, 40
Confer
general polytopal classes:
isogonal  
External
links
wikipedia   polytopewiki  

No uniform realisation is possible, as can be seen from the vertex figure.


Incidence matrix according to Dynkin symbol

s2s3s4x

demi( . . . . ) | 48 |  1  1  1  2  1 |  1  1  1  3  2  2 | 1 1 1  3
----------------+----+----------------+-------------------+---------
demi( . . . x ) |  2 | 24  *  *  *  * |  1  0  1  0  1  1 | 0 1 1  2  x
      s2s . .   |  2 |  * 24  *  *  * |  1  0  0  2  0  0 | 1 0 0  2  q
      s 2 s .   |  2 |  *  * 24  *  * |  0  0  0  2  2  0 | 1 1 0  2  q
sefa( . s3s . ) |  2 |  *  *  * 48  * |  0  1  0  1  0  1 | 1 0 1  1  h
sefa( . . s4x ) |  2 |  *  *  *  * 24 |  0  0  1  0  1  1 | 0 1 1  1  w
----------------+----+----------------+-------------------+---------
      s2s 2 x   |  4 |  2  2  0  0  0 | 12  *  *  *  *  * | 0 0 0  2  (x,q)-{4}
      . s3s .     3 |  0  0  0  3  0 |  * 16  *  *  *  * | 1 0 1  0  h-{3}
      . . s4x     4 |  2  0  0  0  2 |  *  * 12  *  *  * | 0 1 1  0  (x,w)-{4}
sefa( s2s3s . ) |  3 |  0  1  1  1  0 |  *  *  * 48  *  * | 1 0 0  1  oh&#q
sefa( s 2 s4x ) |  4 |  1  0  2  0  1 |  *  *  *  * 24  * | 0 1 0  1  xw&#q
sefa( . s3s4x ) |  4 |  1  0  0  2  1 |  *  *  *  *  * 24 | 0 0 1  1  xw&#h
----------------+----+----------------+-------------------+---------
      s2s3s .   |  6 |  0  3  3  6  0 |  0  2  0  6  0  0 | 8 * *  *  (h,q)-3ap
      s 2 s4x   |  8 |  4  0  4  0  4 |  0  0  2  0  4  0 | * 6 *  *  trapezoprism
      . s3s4x   | 24 | 12  0  0 24 12 |  0  8  6  0  0 12 | * * 2  *  pyritohedrally gyrated sirco
sefa( s2s3s4x ) |  6 |  2  2  2  2  1 |  1  0  0  2  1  1 | * * * 24  wedge trip

starting figure: x x3x4x

© 2004-2024
top of page