Acronym ...
Name hexaconta-sphenated id-first deep parabidiminished rahi
 
 ©
Circumradius ...
Confer
uniform relative:
rahi  
related CRFs:
oxFx3xfox5xoxx&#xt   xofxfox3xFxoxFx5xoxFxox&#xt  

Just as thawro itself is related to the threefold rotunda of id (oxFf3xfof&#xt), when the bottom base layer f3f is concentrically replaced by x3x, oxFx3xfox5xoxx&#xt too was related to the id-first tristratic sub-cap of rahi (oxFf3xfof5xoxo&#xt), when the bottom base layer f3f5o is concentrically replaced by x3x5x (grid). - This polychoron however then would be related to the corresponding deep parabidiminishing, i.e. the medial remainder, again replacing both f3f5o bases by x3x5x (grid).


Incidence matrix according to Dynkin symbol

xofxF(Vo)Fxfox3xFxoo(xo)ooxFx5xoxFf(oV)fFxox&#xt   → height(1,2) = height(3,4) = height(5,6) = height(6,7) = height(8,9) = height(10,11) = 1/2
(F=ff=x+f, V=2f)                                     height(2,3) = height(4,5) = height(7,8) = height(9,10) = (sqrt(5)-1)/4 = 0.309017

o....(..).....3o....(..).....5o....(..).....      & | 240  *   *   *   *  *  * |   1   1   1   1   1   0   0   0   0   0   0   0   0   0  0  0 |  1  1  1   1   1   1   1   1   0   0  0   0   0   0   0  0   0  0   0   0  0 | 1  1  1  1   0  0   0  0  0
.o...(..).....3.o...(..).....5.o...(..).....      & |   * 60   *   *   *  *  * |   0   0   0   4   0   4   0   0   0   0   0   0   0   0  0  0 |  0  0  0   2   2   0   0   4   2   2  0   0   0   0   0  0   0  0   0   0  0 | 0  2  1  0   2  1   0  0  0
..o..(..).....3..o..(..).....5..o..(..).....      & |   *  * 240   *   *  *  * |   0   0   0   0   1   1   1   1   1   1   0   0   0   0  0  0 |  0  0  0   0   0   1   1   1   1   1  1   1   1   1   1  0   0  0   0   0  0 | 0  1  0  1   1  1   1  1  0
...o.(..).....3...o.(..).....5...o.(..).....      & |   *  *   * 120   *  *  * |   0   0   0   0   0   0   0   0   2   0   2   1   1   0  0  0 |  0  0  0   0   0   0   0   0   0   2  0   1   0   0   2  1   2  1   0   0  0 | 0  1  0  0   0  2   1  0  0
....o(..).....3....o(..).....5....o(..).....      & |   *  *   *   * 120  *  * |   0   0   0   0   0   0   0   0   0   2   0   1   0   1  1  0 |  0  0  0   0   0   0   0   0   0   0  0   0   1   2   2  0   0  1   1   2  0 | 0  0  0  0   0  2   1  1  1
.....(o.).....3.....(o.).....5.....(o.).....        |   *  *   *   *   * 60  * |   0   0   0   0   0   0   0   0   0   0   0   0   0   2  0  2 |  0  0  0   0   0   0   0   0   0   0  0   0   0   2   0  0   0  0   4   2  1 | 0  0  0  0   0  1   0  2  2
.....(.o).....3.....(.o).....5.....(.o).....        |   *  *   *   *   *  * 20 |   0   0   0   0   0   0   0   0   0   0   0   0   6   0  0  0 |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   0  0   6  3   0   0  0 | 0  0  0  0   0  3   0  0  0
----------------------------------------------------+--------------------------+---------------------------------------------------------------+------------------------------------------------------------------------------+----------------------------
x....(..)..... .....(..)..... .....(..).....      & |   2  0   0   0   0  0  0 | 120   *   *   *   *   *   *   *   *   *   *   *   *   *  *  * |  1  1  0   1   0   0   0   0   0   0  0   0   0   0   0  0   0  0   0   0  0 | 1  1  1  0   0  0   0  0  0
.....(..)..... x....(..)..... .....(..).....      & |   2  0   0   0   0  0  0 |   * 120   *   *   *   *   *   *   *   *   *   *   *   *  *  * |  1  0  1   0   0   1   0   0   0   0  0   0   0   0   0  0   0  0   0   0  0 | 1  1  0  1   0  0   0  0  0
.....(..)..... .....(..)..... x....(..).....      & |   2  0   0   0   0  0  0 |   *   * 120   *   *   *   *   *   *   *   *   *   *   *  *  * |  0  1  1   0   1   0   1   0   0   0  0   0   0   0   0  0   0  0   0   0  0 | 1  0  1  1   1  0   0  0  0
oo...(..).....3oo...(..).....5oo...(..).....&#x   & |   1  1   0   0   0  0  0 |   *   *   * 240   *   *   *   *   *   *   *   *   *   *  *  * |  0  0  0   1   1   0   0   1   0   0  0   0   0   0   0  0   0  0   0   0  0 | 0  1  1  0   1  0   0  0  0
o.o..(..).....3o.o..(..).....5o.o..(..).....&#x   & |   1  0   1   0   0  0  0 |   *   *   *   * 240   *   *   *   *   *   *   *   *   *  *  * |  0  0  0   0   0   1   1   1   0   0  0   0   0   0   0  0   0  0   0   0  0 | 0  1  0  1   1  0   0  0  0
.oo..(..).....3.oo..(..).....5.oo..(..).....&#x   & |   0  1   1   0   0  0  0 |   *   *   *   *   * 240   *   *   *   *   *   *   *   *  *  * |  0  0  0   0   0   0   0   1   1   1  0   0   0   0   0  0   0  0   0   0  0 | 0  1  0  0   1  1   0  0  0
.....(..)..... ..x..(..)..... .....(..).....      & |   0  0   2   0   0  0  0 |   *   *   *   *   *   * 120   *   *   *   *   *   *   *  *  * |  0  0  0   0   0   1   0   0   0   0  1   1   1   0   0  0   0  0   0   0  0 | 0  1  0  1   0  0   1  1  0
.....(..)..... .....(..)..... ..x..(..).....      & |   0  0   2   0   0  0  0 |   *   *   *   *   *   *   * 120   *   *   *   *   *   *  *  * |  0  0  0   0   0   0   1   0   1   0  1   0   0   1   0  0   0  0   0   0  0 | 0  0  0  1   1  1   0  1  0
..oo.(..).....3..oo.(..).....5..oo.(..).....&#x   & |   0  0   1   1   0  0  0 |   *   *   *   *   *   *   *   * 240   *   *   *   *   *  *  * |  0  0  0   0   0   0   0   0   0   1  0   1   0   0   1  0   0  0   0   0  0 | 0  0  0  0   0  1   1  0  0
..o.o(..).....3..o.o(..).....5..o.o(..).....&#x   & |   0  0   1   0   1  0  0 |   *   *   *   *   *   *   *   *   * 240   *   *   *   *  *  * |  0  0  0   0   0   0   0   0   0   0  0   0   1   1   1  0   0  0   0   0  0 | 0  0  0  0   0  1   1  1  0
...x.(..)..... .....(..)..... .....(..).....      & |   0  0   0   2   0  0  0 |   *   *   *   *   *   *   *   *   *   * 120   *   *   *  *  * |  0  0  0   0   0   0   0   0   0   1  0   0   0   0   0  1   1  0   0   0  0 | 0  0  0  0   0  1   0  0  0
...oo(..).....3...oo(..).....5...oo(..).....&#x   & |   0  0   0   1   1  0  0 |   *   *   *   *   *   *   *   *   *   *   * 120   *   *  *  * |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   2  0   0  1   0   0  0 | 0  0  0  0   0  2   1  0  0
...o.(.o).....3...o.(.o).....5...o.(.o).....&#x   & |   0  0   0   1   0  0  1 |   *   *   *   *   *   *   *   *   *   *   *   * 120   *  *  * |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   0  0   2  1   0   0  0 | 0  0  0  0   0  2   0  0  0
....o(o.).....3....o(o.).....5....o(o.).....&#x   & |   0  0   0   0   1  1  0 |   *   *   *   *   *   *   *   *   *   *   *   *   * 240  *  * |  0  0  0   0   0   0   0   0   0   0  0   0   0   1   0  0   0  0   1   1  0 | 0  0  0  0   0  1   0  1  1
....o(..)o....3....o(..)o....5....o(..)o....&#x     |   0  0   0   0   2  0  0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 60  * |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   0  0   0  1   0   1  0 | 0  0  0  0   0  2   0  0  1
.....(..)..... .....(x.)..... .....(..).....        |   0  0   0   0   0  2  0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *  * 60 |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   0  0   0  0   2   0  1 | 0  0  0  0   0  0   0  2  1
----------------------------------------------------+--------------------------+---------------------------------------------------------------+------------------------------------------------------------------------------+----------------------------
x....(..).....3x....(..)..... .....(..).....      & |   6  0   0   0   0  0  0 |   3   3   0   0   0   0   0   0   0   0   0   0   0   0  0  0 | 40  *  *   *   *   *   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 1  1  0  0   0  0   0  0  0
x....(..)..... .....(..)..... x....(..).....      & |   4  0   0   0   0  0  0 |   2   0   2   0   0   0   0   0   0   0   0   0   0   0  0  0 |  * 60  *   *   *   *   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 1  0  1  0   0  0   0  0  0
.....(..)..... x....(..).....5x....(..).....      & |  10  0   0   0   0  0  0 |   0   5   5   0   0   0   0   0   0   0   0   0   0   0  0  0 |  *  * 24   *   *   *   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 1  0  0  1   0  0   0  0  0
xo...(..)..... .....(..)..... .....(..).....&#x   & |   2  1   0   0   0  0  0 |   1   0   0   2   0   0   0   0   0   0   0   0   0   0  0  0 |  *  *  * 120   *   *   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 0  1  1  0   0  0   0  0  0
.....(..)..... .....(..)..... xo...(..).....&#x   & |   2  1   0   0   0  0  0 |   0   0   1   2   0   0   0   0   0   0   0   0   0   0  0  0 |  *  *  *   * 120   *   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 0  0  1  0   1  0   0  0  0
.....(..)..... x.x..(..)..... .....(..).....&#x   & |   2  0   2   0   0  0  0 |   0   1   0   0   2   0   1   0   0   0   0   0   0   0  0  0 |  *  *  *   *   * 120   *   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 0  1  0  1   0  0   0  0  0
.....(..)..... .....(..)..... x.x..(..).....&#x   & |   2  0   2   0   0  0  0 |   0   0   1   0   2   0   0   1   0   0   0   0   0   0  0  0 |  *  *  *   *   *   * 120   *   *   *  *   *   *   *   *  *   *  *   *   *  * | 0  0  0  1   1  0   0  0  0
ooo..(..).....3ooo..(..).....5ooo..(..).....&#x   & |   1  1   1   0   0  0  0 |   0   0   0   1   1   1   0   0   0   0   0   0   0   0  0  0 |  *  *  *   *   *   *   * 240   *   *  *   *   *   *   *  *   *  *   *   *  * | 0  1  0  0   1  0   0  0  0
.....(..)..... .....(..)..... .ox..(..).....&#x   & |   0  1   2   0   0  0  0 |   0   0   0   0   0   2   0   1   0   0   0   0   0   0  0  0 |  *  *  *   *   *   *   *   * 120   *  *   *   *   *   *  *   *  *   *   *  * | 0  0  0  0   1  1   0  0  0
.ofx.(..)..... .....(..)..... .....(..).....&#xt  & |   0  1   2   2   0  0  0 |   0   0   0   0   0   2   0   0   2   0   1   0   0   0  0  0 |  *  *  *   *   *   *   *   *   * 120  *   *   *   *   *  *   *  *   *   *  * | 0  1  0  0   0  1   0  0  0
.....(..)..... ..x..(..).....5..x..(..).....      & |   0  0  10   0   0  0  0 |   0   0   0   0   0   0   5   5   0   0   0   0   0   0  0  0 |  *  *  *   *   *   *   *   *   *   * 24   *   *   *   *  *   *  *   *   *  * | 0  0  0  1   0  0   0  1  0
.....(..)..... ..xo.(..)..... .....(..).....&#x   & |   0  0   2   1   0  0  0 |   0   0   0   0   0   0   1   0   2   0   0   0   0   0  0  0 |  *  *  *   *   *   *   *   *   *   *  * 120   *   *   *  *   *  *   *   *  * | 0  1  0  0   0  0   1  0  0
.....(..)..... ..x.o(..)..... .....(..).....&#x   & |   0  0   2   0   1  0  0 |   0   0   0   0   0   0   1   0   0   2   0   0   0   0  0  0 |  *  *  *   *   *   *   *   *   *   *  *   * 120   *   *  *   *  *   *   *  * | 0  0  0  0   0  0   1  1  0
.....(..)..... .....(..)..... ..x.f(o.).....&#xt  & |   0  0   2   0   2  1  0 |   0   0   0   0   0   0   0   1   0   2   0   0   0   2  0  0 |  *  *  *   *   *   *   *   *   *   *  *   *   * 120   *  *   *  *   *   *  * | 0  0  0  0   0  1   0  1  0
..ooo(..).....3..ooo(..).....5..ooo(..).....&#x   & |   0  0   1   1   1  0  0 |   0   0   0   0   0   0   0   0   1   1   0   1   0   0  0  0 |  *  *  *   *   *   *   *   *   *   *  *   *   *   * 240  *   *  *   *   *  * | 0  0  0  0   0  1   1  0  0
...x.(..).....3...o.(..)..... .....(..).....      & |   0  0   0   3   0  0  0 |   0   0   0   0   0   0   0   0   0   0   3   0   0   0  0  0 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   * 40   *  *   *   *  * | 0  1  0  0   0  0   0  0  0
...x.(.o)..... .....(..)..... .....(..).....&#x   & |   0  0   0   2   0  0  1 |   0   0   0   0   0   0   0   0   0   0   1   0   2   0  0  0 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   *  * 120  *   *   *  * | 0  0  0  0   0  1   0  0  0
...oo(.o)oo...3...oo(.o)oo...5...oo(.o)oo...&#xr    |   0  0   0   2   2  0  1 |   0   0   0   0   0   0   0   0   0   0   0   2   2   0  1  0 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   *  *   * 60   *   *  * | 0  0  0  0   0  2   0  0  0
.....(..)..... ....o(x.)..... .....(..).....&#x   & |   0  0   0   0   1  2  0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   2  0  1 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   *  *   *  * 120   *  * | 0  0  0  0   0  0   0  1  1
....o(o.)o....3....o(o.)o....5....o(o.)o....&#x     |   0  0   0   0   2  1  0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   2  1  0 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   *  *   *  *   * 120  * | 0  0  0  0   0  1   0  0  1
.....(..)..... .....(x.).....5.....(o.).....        |   0  0   0   0   0  5  0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0  5 |  *  *  *   *   *   *   *   *   *   *  *   *   *   *   *  *   *  *   *   * 12 | 0  0  0  0   0  0   0  2  0
----------------------------------------------------+--------------------------+---------------------------------------------------------------+------------------------------------------------------------------------------+----------------------------
x....(..).....3x....(..).....5x....(..).....      &  120  0   0   0   0  0  0 |  60  60  60   0   0   0   0   0   0   0   0   0   0   0  0  0 | 20 30 12   0   0   0   0   0   0   0  0   0   0   0   0  0   0  0   0   0  0 | 2  *  *  *   *  *   *  *  *
xofx.(..).....3xFxo.(..)..... .....(..).....&#xt  &    6  3   6   3   0  0  0 |   3   3   0   6   6   6   3   0   0   0   0   0   0   0  0  0 |  1  0  0   3   0   3   0   6   0   3  0   3   0   0   0  1   0  0   0   0  0 | * 40  *  *   *  *   *  *  *
xo...(..)..... .....(..)..... xo...(..).....&#x   &    4  1   0   0   0  0  0 |   2   0   2   4   0   0   0   0   0   0   0   0   0   0  0  0 |  0  1  0   2   2   0   0   0   0   0  0   0   0   0   0  0   0  0   0   0  0 | *  * 60  *   *  *   *  *  *
.....(..)..... x.x..(..).....5x.x..(..).....&#x   &   10  0  10   0   0  0  0 |   0   5   5   0  10   0   5   5   0   0   0   0   0   0  0  0 |  0  0  1   0   0   5   5   0   0   0  1   0   0   0   0  0   0  0   0   0  0 | *  *  * 24   *  *   *  *  *
.....(..)..... .....(..)..... xox..(..).....&#x   &    2  1   2   0   0  0  0 |   0   0   1   2   2   2   0   1   0   0   0   0   0   0  0  0 |  0  0  0   0   1   0   1   2   1   0  0   0   0   0   0  0   0  0   0   0  0 | *  *  *  * 120  *   *  *  *
.ofxF(Vo)Fxfo. .....(..)..... .oxFf(oV)fFxo.&#xt       0  2   8   8   8  2  2 |   0   0   0   0   0   8   0   4   8   8   4   8   8   8  4  0 |  0  0  0   0   0   0   0   0   4   4  0   0   0   4   8  0   4  4   0   4  0 | *  *  *  *   * 30   *  *  *
.....(..)..... ..xoo(..)..... .....(..).....&#x   &    0  0   2   1   1  0  0 |   0   0   0   0   0   0   1   0   2   2   0   1   0   0  0  0 |  0  0  0   0   0   0   0   0   0   0  0   1   1   0   2  0   0  0   0   0  0 | *  *  *  *   *  * 120  *  *
.....(..)..... ..x.o(x.).....5..x.f(o.).....&#x   &    0  0  10   0   5  5  0 |   0   0   0   0   0   0   5   5   0  10   0   0   0  10  0  5 |  0  0  0   0   0   0   0   0   0   0  1   0   5   5   0  0   0  0   5   0  1 | *  *  *  *   *  *   * 24  *
.....(..)..... ....o(x.)o.... .....(..).....&#x        0  0   0   0   2  2  0 |   0   0   0   0   0   0   0   0   0   0   0   0   0   4  1  1 |  0  0  0   0   0   0   0   0   0   0  0   0   0   0   0  0   0  0   2   2  0 | *  *  *  *   *  *   *  * 60

© 2004-2018
top of page