Acronym sitpodady
Name small (intersected) tripesic dodecahedronary dishecatonicosachoron
Cross sections
 ©
Circumradius 1
Coordinates
  • (1, 0, 0, 0)                                         & all permutations, all changes of sign
    (vertex inscribed q-hex)
  • (1/2, 1/2, 1/2, 1/2)                             & all permutations, all changes of sign
    (vertex inscribed tes)
  • ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0)   & all even permutations, all changes of sign
    (vertex inscribed v-sadi)
General of army ex
Colonel of regiment sishi
External
links
hedrondude   polytopewiki  

As abstract polytope sitpodady is isomorphic to gitpodady, thereby replacing pentagrams by pentagons, resp. replacing sidtid by gidtid and gike by ike.

This is a fissary polychoron.


Incidence matrix according to Dynkin symbol

o5/2o3x5/2o3*b

.   . .   .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x   .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x   .    |   3 |    3 | 2400   * |   1   1
.   . x5/2o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/2o3x   .      12 |   30 |   20   0 | 120   *
.   o3x5/2o3*b   20 |   60 |   20  12 |   * 120

o5/2o3x5/3o3/2*b

.   . .   .      | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
.   . x   .      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o3x   .      |   3 |    3 | 2400   * |   1   1
.   . x5/3o      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5/2o3x   .        12 |   30 |   20   0 | 120   *
.   o3x5/3o3/2*b   20 |   60 |   20  12 |   * 120

o5/2o3/2x5/2o3/2*b

.   .   .   .      | 120 |   60 |   60  30 |  12  20
-------------------+-----+------+----------+--------
.   .   x   .      |   2 | 3600 |    2   1 |   1   2
-------------------+-----+------+----------+--------
.   o3/2x   .      |   3 |    3 | 2400   * |   1   1
.   .   x5/2o      |   5 |    5 |    * 720 |   0   2
-------------------+-----+------+----------+--------
o5/2o3/2x   .        12 |   30 |   20   0 | 120   *
.   o3/2x5/2o3/2*b   20 |   60 |   20  12 |   * 120

o5/2o3/2x5/3o3*b

.   .   .   .    | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
.   .   x   .    |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o3/2x   .    |   3 |    3 | 2400   * |   1   1
.   .   x5/3o    |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5/2o3/2x   .      12 |   30 |   20   0 | 120   *
.   o3/2x5/3o3*b   20 |   60 |   20  12 |   * 120

o5/3o3x5/2o3*b

.   . .   .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x   .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x   .    |   3 |    3 | 2400   * |   1   1
.   . x5/2o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/3o3x   .      12 |   30 |   20   0 | 120   *
.   o3x5/2o3*b   20 |   60 |   20  12 |   * 120

o5/3o3x5/3o3/2*b

.   . .   .      | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
.   . x   .      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o3x   .      |   3 |    3 | 2400   * |   1   1
.   . x5/3o      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5/3o3x   .        12 |   30 |   20   0 | 120   *
.   o3x5/3o3/2*b   20 |   60 |   20  12 |   * 120

o5/3o3/2x5/2o3/2*b

.   .   .   .      | 120 |   60 |   60  30 |  12  20
-------------------+-----+------+----------+--------
.   .   x   .      |   2 | 3600 |    2   1 |   1   2
-------------------+-----+------+----------+--------
.   o3/2x   .      |   3 |    3 | 2400   * |   1   1
.   .   x5/2o      |   5 |    5 |    * 720 |   0   2
-------------------+-----+------+----------+--------
o5/3o3/2x   .        12 |   30 |   20   0 | 120   *
.   o3/2x5/2o3/2*b   20 |   60 |   20  12 |   * 120

o5/3o3/2x5/3o3*b

.   .   .   .    | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
.   .   x   .    |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
.   o3/2x   .    |   3 |    3 | 2400   * |   1   1
.   .   x5/3o    |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5/3o3/2x   .      12 |   30 |   20   0 | 120   *
.   o3/2x5/3o3*b   20 |   60 |   20  12 |   * 120

β5o3o5/2o

both( . . .   . ) | 120 |   60 |  30   60 |  20  12
------------------+-----+------+----------+--------
sefa( β5o .   . ) |   2 | 3600 |   1    2 |   2   1
------------------+-----+------+----------+--------
      β5o .   .   |   5 |    5 | 720    * |   2   0  {5/2}
sefa( β5o3o   . ) |   3 |    3 |   * 2400 |   1   1
------------------+-----+------+----------+--------
      β5o3o   .     20 |   60 |  12   20 | 120   *
sefa( β5o3o5/2o )   12 |   30 |   0   20 |   * 120

starting figure: x5o3o5/2o

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