o2o         o2o          
                                   
o2x       x2f   f2o   x2f       o2x
                                   
                                   
f2f       F2x   o2F   F2x       f2f
                                   
F2o       f2F         f2F       F2o
                                   		V = 2f
                                   		F = f+x = ff
x2F      Vo2oV  F2f  Vo2oV      x2F
                                   
                                   
F2o       f2F         f2F       F2o
                                   
f2f       F2x   o2F   F2x       f2f
                                   
                                   
o2x       x2f   f2o   x2f       o2x
                                   
          o2o         o2o          

The uppermost edge of the displayed lace cities can be chopped off completely, then providing a bilbiro section. In fact, that cutted off first segment is nothing but the bilbiro wedge. If this would be applied with full octahedral across symmetry, then this polychoron will reduce to oFxxFffFof xoFfxFofFf FxoFfxFoff FFFxxxoooF &#zx.

Incidence matrix according to Dynkin symbol

oofoo3oxoxo5xooox&#xt   → height(2,3) = height(3,4) = 1/2
                          height(1,2) = height(4,5) = (1+sqrt(5))/4 = 0.809017
(doe || pseudo id || pseudo f-ike || pseudo id || doe)

o....3o....5o....    & | 40  *  * |  3   3   0   0  0 |  3   3  3  0   0  0  0 | 1  1  3  0  0
.o...3.o...5.o...    & |  * 60  * |  0   2   4   2  1 |  0   4  1  2   4  4  2 | 0  2  2  2  4
..o..3..o..5..o..      |  *  * 12 ♦  0   0   0  10  0 |  0   0  0  0  10  0  5 | 0  0  2  0  5
-----------------------+----------+-------------------+------------------------+--------------
..... ..... x....    & |  2  0  0 | 60   *   *   *  * |  2   0  1  0   0  0  0 | 1  0  2  0  0
oo...3oo...5oo...&#x & |  1  1  0 |  * 120   *   *  * |  0   2  1  0   0  0  0 | 0  1  2  0  0
..... .x... .....    & |  0  2  0 |  *   * 120   *  * |  0   1  0  1   1  1  0 | 0  1  1  1  1
.oo..3.oo..5.oo..&#x & |  0  1  1 |  *   *   * 120  * |  0   0  0  0   2  0  1 | 0  0  1  0  2
.o.o.3.o.o.5.o.o.&#x   |  0  2  0 |  *   *   *   * 30 |  0   0  0  0   0  4  2 | 0  0  0  2  4
-----------------------+----------+-------------------+------------------------+--------------
..... o....5x....    & |  5  0  0 |  5   0   0   0  0 | 24   *  *  *   *  *  * | 1  0  1  0  0
..... ox... .....&#x & |  1  2  0 |  0   2   1   0  0 |  * 120  *  *   *  *  * | 0  1  1  0  0
..... ..... xo...&#x & |  2  1  0 |  1   2   0   0  0 |  *   * 60  *   *  *  * | 0  0  2  0  0
.o...3.x... .....    & |  0  3  0 |  0   0   3   0  0 |  *   *  * 40   *  *  * | 0  1  0  1  0
..... .xo.. .....&#x & |  0  2  1 |  0   0   1   2  0 |  *   *  *  * 120  *  * | 0  0  1  0  1
..... .x.x. .....&#x   |  0  4  0 |  0   0   2   0  2 |  *   *  *  *   * 60  * | 0  0  0  1  1
.ooo.3.ooo.5.ooo.&#x   |  0  2  1 |  0   0   0   2  1 |  *   *  *  *   *  * 60 | 0  0  0  0  2
-----------------------+----------+-------------------+------------------------+--------------
o....3o....5x....    & ♦ 20  0  0 | 30   0   0   0  0 | 12   0  0  0   0  0  0 | 2  *  *  *  *
oo...3ox... .....&#x & ♦  1  3  0 |  0   3   3   0  0 |  0   3  0  1   0  0  0 | * 40  *  *  *
..... oxo..5xoo..&#x & ♦  5  5  1 |  5  10   5   5  0 |  1   5  5  0   5  0  0 | *  * 24  *  *
.o.o.3.x.x. .....&#x   ♦  0  6  0 |  0   0   6   0  3 |  0   0  0  2   0  3  0 | *  *  * 20  *
..... .xox. .....&#x   ♦  0  4  1 |  0   0   2   4  2 |  0   0  0  0   2  1  2 | *  *  *  * 60