Acronym tighi
Name truncated great hecatonicosachoron
 
 ©
Cross sections
 ©
Circumradius sqrt[(13+5 sqrt(5))/2] = 3.477092
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gike sissid tid tigid
taghi 1200120600
tighi 01200120
)
Face vector 1440, 4320, 2160, 240
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope tighi is isomorphic to quit gashi, thereby replacing the pentagrams by pentagons and decagons by decagrams, resp. replacing tigid by quit sissid and replacing sissid by gad.


Incidence matrix according to Dynkin symbol

o5o5/2x5x

. .   . . | 1440 |    5   1 |    5   5 |   1   5
----------+------+----------+----------+--------
. .   x . |    2 | 3600   * |    2   1 |   1   2
. .   . x |    2 |    * 720 |    0   5 |   0   5
----------+------+----------+----------+--------
. o5/2x . |    5 |    5   0 | 1440   * |   1   1
. .   x5x |   10 |    5   5 |    * 720 |   0   2
----------+------+----------+----------+--------
o5o5/2x .    12 |   30   0 |   12   0 | 120   *
. o5/2x5x    60 |   60  30 |   12  12 |   * 120

o5o5/3x5x

. .   . . | 1440 |    5   1 |    5   5 |   1   5
----------+------+----------+----------+--------
. .   x . |    2 | 3600   * |    2   1 |   1   2
. .   . x |    2 |    * 720 |    0   5 |   0   5
----------+------+----------+----------+--------
. o5/3x . |    5 |    5   0 | 1440   * |   1   1
. .   x5x |   10 |    5   5 |    * 720 |   0   2
----------+------+----------+----------+--------
o5o5/3x .    12 |   30   0 |   12   0 | 120   *
. o5/3x5x    60 |   60  30 |   12  12 |   * 120

o5/4o5/2x5x

.   .   . . | 1440 |    5   1 |    5   5 |   1   5
------------+------+----------+----------+--------
.   .   x . |    2 | 3600   * |    2   1 |   1   2
.   .   . x |    2 |    * 720 |    0   5 |   0   5
------------+------+----------+----------+--------
.   o5/2x . |    5 |    5   0 | 1440   * |   1   1
.   .   x5x |   10 |    5   5 |    * 720 |   0   2
------------+------+----------+----------+--------
o5/4o5/2x .    12 |   30   0 |   12   0 | 120   *
.   o5/2x5x    60 |   60  30 |   12  12 |   * 120

o5/4o5/3x5x

.   .   . . | 1440 |    5   1 |    5   5 |   1   5
------------+------+----------+----------+--------
.   .   x . |    2 | 3600   * |    2   1 |   1   2
.   .   . x |    2 |    * 720 |    0   5 |   0   5
------------+------+----------+----------+--------
.   o5/3x . |    5 |    5   0 | 1440   * |   1   1
.   .   x5x |   10 |    5   5 |    * 720 |   0   2
------------+------+----------+----------+--------
o5/4o5/3x .    12 |   30   0 |   12   0 | 120   *
.   o5/3x5x    60 |   60  30 |   12  12 |   * 120

© 2004-2024
top of page