Acronym ...
Name reduced( ofx3/2oxx4ooo&xt by oct+6{4} )
 
 ©
Circumradius sqrt[1+sqrt(5)]/2 = 0.899454
Face vector 31, 84, 69, 20
Confer
general polytopal classes:
trippescu familly   orbiform  

Note: The "medial" section is f3/2x4o, which has hull a3v4o, where a = v2 = 2x-f. In fact the "diagonals" of a3v are of size x and the facet underneath those faces is x3v and has "diagonals" of size f. From those facets underneath only the edges of size x and f are taken, thus giving rise of faces f3/2x there, as well as of faces x4o directly underneath the v4o of the hull. The bottom section is x3/2x4o, the Grünbaumian figure 2oct+6{4}, which by reduction of double-covers reduces to a mere pseudo cell only.


Incidence matrix according to Dynkin symbol

reduced( ofx3/2oxx4ooo&#xt by oct+6{4} )   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                                             height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454

         o..3/2o..4o..       | 1  * * | 24  0  0  0 | 12 24 0  0 0 | 8 6 0
         .o.3/2.o.4.o.       | * 24 * |  1  2  1  0 |  1  2 1  2 0 | 2 1 1
         ..o3/2..o4..o       | *  * 6 |  0  0  4  4 |  4  0 0  8 2 | 4 0 4
-----------------------------+--------+-------------+--------------+------
         oo.3/2oo.4oo.&#x    | 1  1 0 | 24  *  *  * |  1  2 0  0 0 | 2 1 0
         ...   .x. ...       | 0  2 0 |  * 24  *  * |  0  1 1  1 0 | 1 1 1
         .oo3/2.oo4.oo&#x    | 0  1 1 |  *  * 24  * |  1  0 0  2 0 | 2 0 1
reduced( ..x   ... ...   & ) | 0  0 2 |  *  *  * 12 |  1  0 0  2 1 | 2 0 2
-----------------------------+--------+-------------+--------------+------
         ofx   ... ...&#xt   | 1  2 2 |  2  0  2  1 | 12  * *  * * | 2 0 0
         ...   ox. ...&#x    | 1  2 0 |  2  1  0  0 |  * 24 *  * * | 1 1 0
         ...   .x.4.o.       | 0  4 0 |  0  4  0  0 |  *  * 6  * * | 0 1 1
         ...   .xx ...&#x    | 0  2 2 |  0  1  2  1 |  *  * * 24 * | 1 0 1
         ...   ..x4..o&#x    | 0  0 4 |  0  0  0  4 |  *  * *  * 3 | 0 0 2
-----------------------------+--------+-------------+--------------+------
reduced( ofx3/2oxx ...&#xt )  1  6 3 |  6  3  6  3 |  3  3 0  3 0 | 8 * *
         ...   ox.4oo.&#x     1  4 0 |  4  4  0  0 |  0  4 1  0 0 | * 6 *
         ...   .xx4.oo&#x     0  4 4 |  0  4  4  4 |  0  0 1  4 1 | * * 6

© 2004-2024
top of page