Acronym gitpodady
Name great (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 gitpodady is isomorphic to sitpodady, thereby replacing pentagons by pentagrams, resp. replacing gidtid by sidtid and ike by gike.

This is a fissary polychoron.


Incidence matrix according to Dynkin symbol

o5o3x5o3/2*b

. . . .      | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. . x .      |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3x .      |   3 |    3 | 2400   * |   1   1
. . x5o      |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3x .        12 |   30 |   20   0 | 120   *
. o3x5o3/2*b   20 |   60 |   20  12 |   * 120

o5o3x5/4o3*b

. . .   .    | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. . x   .    |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3x   .    |   3 |    3 | 2400   * |   1   1
. . x5/4o    |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3x   .      12 |   30 |   20   0 | 120   *
. o3x5/4o3*b   20 |   60 |   20  12 |   * 120

o5o3/2x5o3*b

. .   . .    | 120 |   60 |   60  30 |  12  20
-------------+-----+------+----------+--------
. .   x .    |   2 | 3600 |    2   1 |   1   2
-------------+-----+------+----------+--------
. o3/2x .    |   3 |    3 | 2400   * |   1   1
. .   x5o    |   5 |    5 |    * 720 |   0   2
-------------+-----+------+----------+--------
o5o3/2x .      12 |   30 |   20   0 | 120   *
. o3/2x5o3*b   20 |   60 |   20  12 |   * 120

o5o3/2x5/4o3/2*b

. .   .   .      | 120 |   60 |   60  30 |  12  20
-----------------+-----+------+----------+--------
. .   x   .      |   2 | 3600 |    2   1 |   1   2
-----------------+-----+------+----------+--------
. o3/2x   .      |   3 |    3 | 2400   * |   1   1
. .   x5/4o      |   5 |    5 |    * 720 |   0   2
-----------------+-----+------+----------+--------
o5o3/2x   .        12 |   30 |   20   0 | 120   *
. o3/2x5/4o3/2*b   20 |   60 |   20  12 |   * 120

o5/4o3x5o3/2*b

.   . . .      | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x .      |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x .      |   3 |    3 | 2400   * |   1   1
.   . x5o      |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3x .        12 |   30 |   20   0 | 120   *
.   o3x5o3/2*b   20 |   60 |   20  12 |   * 120

o5/4o3x5/4o3*b

.   . .   .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   . x   .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3x   .    |   3 |    3 | 2400   * |   1   1
.   . x5/4o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3x   .      12 |   30 |   20   0 | 120   *
.   o3x5/4o3*b   20 |   60 |   20  12 |   * 120

o5/4o3/2x5o3*b

.   .   . .    | 120 |   60 |   60  30 |  12  20
---------------+-----+------+----------+--------
.   .   x .    |   2 | 3600 |    2   1 |   1   2
---------------+-----+------+----------+--------
.   o3/2x .    |   3 |    3 | 2400   * |   1   1
.   .   x5o    |   5 |    5 |    * 720 |   0   2
---------------+-----+------+----------+--------
o5/4o3/2x .      12 |   30 |   20   0 | 120   *
.   o3/2x5o3*b   20 |   60 |   20  12 |   * 120

o5/4o3/2x5/4o3/2*b

.   .   .   .      | 120 |   60 |   60  30 |  12  20
-------------------+-----+------+----------+--------
.   .   x   .      |   2 | 3600 |    2   1 |   1   2
-------------------+-----+------+----------+--------
.   o3/2x   .      |   3 |    3 | 2400   * |   1   1
.   .   x5/4o      |   5 |    5 |    * 720 |   0   2
-------------------+-----+------+----------+--------
o5/4o3/2x   .        12 |   30 |   20   0 | 120   *
.   o3/2x5/4o3/2*b   20 |   60 |   20  12 |   * 120

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