Acronym ...
Name reduced( ofx3/2oxx3ooo&xt by 2tet )
 
 ©
Circumradius sqrt[3-sqrt(5)] = 0.874032
Face vector 17, 42, 38, 13
Confer
general polytopal classes:
trippescu familly   orbiform  

Note: "medial" section is f3/2x3o, which is a faceting of x3v3o. In fact the "diagonals" of x3v have size f. From this line set of edges and those inscriptions only those of size x and f are taken, then giving rise to faceting faces f3/2x . (faceting of x3v . in turn), and . x3o (underneath . v3o).


Incidence matrix according to Dynkin symbol

reduced( ofx3/2oxx3ooo&#xt by 2tet )   → height(1,2) = sqrt[3+sqrt(5)]/4 = 0.572061
                                         height(2,3) = sqrt[7+3 sqrt(5)]/4 = 0.925615

         o..3/2o..3o..       | 1  * * | 12  0  0 0 | 6 12 0  0 0 | 4 4 0 0
         .o.3/2.o.3.o.       | * 12 * |  1  2  1 0 | 1  2 1  2 0 | 2 1 1 0
         ..o3/2..o3..o       | *  * 4 |  0  0  3 3 | 3  0 0  6 3 | 3 0 3 1
-----------------------------+--------+------------+-------------+--------
         oo.3/2oo.3oo.&#x    | 1  1 0 | 12  *  * * | 1  2 0  0 0 | 2 1 0 0
         ...   .x. ...       | 0  2 0 |  * 12  * * | 0  1 1  1 0 | 1 1 1 0
         .oo3/2.oo3.oo&#x    | 0  1 1 |  *  * 12 * | 1  0 0  2 0 | 2 0 1 0
reduced( ..x   ... ...   & ) | 0  0 2 |  *  *  * 6 | 1  0 0  2 2 | 2 0 2 1
-----------------------------+--------+------------+-------------+--------
         ofx   ... ...&#xt   | 1  2 2 |  2  0  2 1 | 6  * *  * * | 2 0 0 0
         ...   ox. ...&#x    | 1  2 0 |  2  1  0 0 | * 12 *  * * | 1 1 0 0
         ...   .x.3.o.       | 0  3 0 |  0  3  0 0 | *  * 4  * * | 0 1 1 0
         ...   .xx ...&#x    | 0  2 2 |  0  1  2 1 | *  * * 12 * | 1 0 1 0
         ...   ..x3..o       | 0  0 3 |  0  0  0 3 | *  * *  * 4 | 0 0 1 1
-----------------------------+--------+------------+-------------+--------
reduced( ofx3/2oxx ...&#xt )  1  6 3 |  6  3  6 3 | 3  3 0  3 0 | 4 * * *
         ...   ox.3oo.&#x     1  3 0 |  3  3  0 0 | 0  3 1  0 0 | * 4 * *
         ...   .xx3.oo&#x     0  3 3 |  0  3  3 3 | 0  0 1  3 1 | * * 4 *
reduced( ..x3/2..x3..o     )  0  0 4 |  0  0  0 6 | 0  0 0  0 4 | * * * 1

© 2004-2024
top of page