Acronym | ..., padohi || rofix |
Name | (degenerate) padohi atop rofix |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 2160, 18000, 28080, 14880, 2162 |
Confer |
|
It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
As abstract polytope padohi || rofix is isomorphic to rigfix || quipdohi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing stip by pip, ike by gike, and interchanging the roles of sissid and gad, of peppy and stappy, resp. replacing rofix by rigfix, stippy by pippy, ikaid by gikagid, and padohi by quipdohi.
Incidence matrix according to Dynkin symbol
ox5/2oo5xo3ox&#x → height = 0
(padohi || rofix)
o.5/2o.5o.3o. | 720 * | 10 10 0 0 | 10 5 10 20 5 0 0 0 | 2 5 2 10 5 10 10 0 0 0 0 | 1 2 1 5 5 0
.o5/2.o5.o3.o | * 1440 | 0 5 5 5 | 0 0 10 5 5 5 10 5 | 0 0 5 5 10 1 5 1 5 5 1 | 0 1 5 5 1 1
-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------
.. .. x. .. | 2 0 | 3600 * * * | 2 1 0 2 0 0 0 0 | 1 2 0 1 0 2 2 0 0 0 0 | 1 1 0 1 2 0
oo5/2oo5oo3oo&#x | 1 1 | * 7200 * * | 0 0 2 2 1 0 0 0 | 0 0 1 2 2 1 2 0 0 0 0 | 0 1 1 2 1 0
.x .. .. .. | 0 2 | * * 3600 * | 0 0 2 0 0 2 2 0 | 0 0 2 1 2 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .. .. .x | 0 2 | * * * 3600 | 0 0 0 0 1 0 2 2 | 0 0 0 0 2 0 2 0 1 2 1 | 0 0 1 2 1 1
-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------
.. o.5x. .. | 5 0 | 5 0 0 0 | 1440 * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.3o. | 3 0 | 3 0 0 0 | * 1200 * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 7200 * * * * * | 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. .. xo ..&#x | 2 1 | 1 2 0 0 | * * * 7200 * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 2 0 1 | * * * * 3600 * * * | 0 0 0 0 2 0 2 0 0 0 0 | 0 0 1 2 1 0
.x5/2.o .. .. | 0 5 | 0 0 5 0 | * * * * * 1440 * * | 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 2 2 | * * * * * * 3600 * | 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .. .o3.x | 0 3 | 0 0 0 3 | * * * * * * * 2400 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------
o.5/2o.5x. .. ♦ 12 0 | 30 0 0 0 | 12 0 0 0 0 0 0 0 | 120 * * * * * * * * * * | 1 1 0 0 0 0
.. o.5x.3o. ♦ 30 0 | 60 0 0 0 | 12 20 0 0 0 0 0 0 | * 120 * * * * * * * * * | 1 0 0 0 1 0
ox5/2oo .. ..&#x ♦ 1 5 | 0 5 5 0 | 0 0 5 0 0 1 0 0 | * * 1440 * * * * * * * * | 0 1 1 0 0 0
ox .. xo ..&#x ♦ 2 2 | 1 4 1 0 | 0 0 2 2 0 0 0 0 | * * * 3600 * * * * * * * | 0 1 0 1 0 0
ox .. .. ox&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 0 2 0 1 0 | * * * * 3600 * * * * * * | 0 0 1 1 0 0
.. oo5xo ..&#x ♦ 5 1 | 5 5 0 0 | 1 0 0 5 0 0 0 0 | * * * * * 1440 * * * * * | 0 1 0 0 1 0
.. .. xo3ox&#x ♦ 3 3 | 3 6 0 3 | 0 1 0 3 3 0 0 1 | * * * * * * 2400 * * * * | 0 0 0 1 1 0
.x5/2.o5.o .. ♦ 0 12 | 0 0 30 0 | 0 0 0 0 0 12 0 0 | * * * * * * * 120 * * * | 0 1 0 0 0 1
.x5/2.o .. .x ♦ 0 10 | 0 0 10 5 | 0 0 0 0 0 2 5 0 | * * * * * * * * 720 * * | 0 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 1200 * | 0 0 0 1 0 1
.. .o5.o3.x ♦ 0 12 | 0 0 0 30 | 0 0 0 0 0 0 0 20 | * * * * * * * * * * 120 | 0 0 0 0 1 1
-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------
o.5/2o.5x.3o. ♦ 720 0 | 3600 0 0 0 | 1440 1200 0 0 0 0 0 0 | 120 120 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox5/2oo5xo ..&#x ♦ 12 12 | 30 60 30 0 | 12 0 60 60 0 12 0 0 | 1 0 12 30 0 12 0 1 0 0 0 | * 120 * * * *
ox5/2oo .. ox&#x ♦ 1 10 | 0 10 10 5 | 0 0 10 0 5 2 5 0 | 0 0 2 0 5 0 0 0 1 0 0 | * * 720 * * *
ox .. xo3ox&#x ♦ 3 6 | 3 12 3 6 | 0 1 6 6 6 0 3 2 | 0 0 0 3 3 0 2 0 0 1 0 | * * * 1200 * *
.. oo5xo3ox&#x ♦ 30 12 | 60 60 0 30 | 12 20 0 60 30 0 0 20 | 0 1 0 0 0 12 20 0 0 0 1 | * * * * 120 *
.x5/2.o5.o3.x ♦ 0 1440 | 0 0 3600 3600 | 0 0 0 0 0 1440 3600 2400 | 0 0 0 0 0 0 0 120 720 1200 120 | * * * * * 1
© 2004-2024 | top of page |