x5o           x5o                 
                        x5x                        
                                                   
            o5f                     o5f            
     x5o                                   x5o     
                        F5o                        
                 x5f           x5f                 
                                                   
     x5x                                   x5x     
            F5o                     F5o            
                                                   
x5o                     o5F                     x5o
                                                   
            x5f                     x5f            
     o5f                                   o5f     
                                                   
                 F5o           F5o                 
                        x5f                        
     x5o                                   x5o     
            x5x                     x5x            
                                                   
                        o5f                        
                 x5o           x5o                 	where F = ff = f+x

The relation to ex runs as follows: ex in pentagonal duoprismatic subsymmetry can be given as xfooxo5xofxoo oxofox5ooxofx&#zx. That will be transformed into (-x)fooxo5Fofxoo oxofox5ooxofx&#zx. And finally into (-x)foo(-x)o5Fofxfo oxofox5ooxofx&#zx. Then a Stott expansion wrt. the first node produces this polychoron.

Both the 1st and 5th layer of the tegum sum representation below can be dropped independently, thus giving rise to the inscribed F-{5}-wise pentadiminishing .Fxxox5.ofxfo .xofox5.oxofx&#zx, the inscribed f-pedip-wise icosipentadiminishing oFxx.x5Fofx.o oxof.x5ooxo.x&#zx, resp. simultanuously to the triacontadiminishing .Fxx.x5F.fx.o .xof.x5.oxo.x&#zx of this polychoron.

Incidence matrix according to Dynkin symbol

oFxxox5Fofxfo oxofox5ooxofx&#zx   → all heights = 0 – except those of the not existing lacing(1,2), lacing(1,4), lacing(1,5), lacing(1,6), lacing(2,5), lacing(2,6), and lacing(3,6)

o.....5o..... o.....5o.....     | 5  *  *  *  *  * ♦ 10  0   0  0  0  0   0  0  0  0   0   0   0  0  0  0 |  5 10 0  0  0  0   0  0  0  0  0   0  0  0  0  0   0  0  0  0  0  0 |  5  2  0  0  0  0  0  0  0  0 0 0
.o....5.o.... .o....5.o....     | * 25  *  *  *  * |  0  2   4  2  0  0   0  0  0  0   0   0   0  0  0  0 |  0  0 1  4  2  1   4  0  0  0  0   0  0  0  0  0   0  0  0  0  0  0 |  0  2  2  2  0  0  0  0  0  0 0 0
..o...5..o... ..o...5..o...     | *  * 50  *  *  * |  1  0   2  0  1  2   2  1  0  0   0   0   0  0  0  0 |  1  2 0  1  2  0   2  2  2  2  1   2  0  0  0  0   0  0  0  0  0  0 |  2  1  1  2  2  2  0  0  0  0 0 0
...o..5...o.. ...o..5...o..     | *  *  * 50  *  * |  0  0   0  1  0  0   2  0  1  1   2   2   0  0  0  0 |  0  0 0  0  0  1   2  0  2  1  0   2  2  2  2  1   2  0  0  0  0  0 |  0  0  2  1  1  2  2  1  1  0 0 0
....o.5....o. ....o.5....o.     | *  *  *  * 25  * |  0  0   0  0  0  0   0  2  0  0   4   0   4  0  0  0 |  0  0 0  0  0  0   0  0  0  0  1   4  2  0  0  0   4  2  2  0  0  0 |  0  0  2  0  0  2  2  0  0  1 0 0
.....o5.....o .....o5.....o     | *  *  *  *  * 50 |  0  0   0  0  0  0   0  0  0  0   0   2   2  2  1  1 |  0  0 0  0  0  0   0  0  0  0  0   0  0  2  1  2   2  2  2  1  2  2 |  0  0  1  0  0  0  2  2  1  2 1 1
--------------------------------+------------------+------------------------------------------------------+---------------------------------------------------------------------+----------------------------------
o.o...5o.o... o.o...5o.o...&#x  | 1  0  1  0  0  0 | 50  *   *  *  *  *   *  *  *  *   *   *   *  *  *  * |  1  2 0  0  0  0   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 0 0
...... ...... .x.... ......     | 0  2  0  0  0  0 |  * 25   *  *  *  *   *  *  *  *   *   *   *  *  *  * |  0  0 1  2  0  0   0  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 0
.oo...5.oo... .oo...5.oo...&#x  | 0  1  1  0  0  0 |  *  * 100  *  *  *   *  *  *  *   *   *   *  *  *  * |  0  0 0  1  1  0   1  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 0 0
.o.o..5.o.o.. .o.o..5.o.o..&#x  | 0  1  0  1  0  0 |  *  *   * 50  *  *   *  *  *  *   *   *   *  *  *  * |  0  0 0  0  0  1   2  0  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
..x... ...... ...... ......     | 0  0  2  0  0  0 |  *  *   *  * 25  *   *  *  *  *   *   *   *  *  *  * |  1  0 0  0  0  0   0  2  2  0  1   0  0  0  0  0   0  0  0  0  0  0 |  2  0  0  0  2  2  0  0  0  0 0 0
...... ...... ...... ..x...     | 0  0  2  0  0  0 |  *  *   *  *  * 50   *  *  *  *   *   *   *  *  *  * |  0  1 0  0  1  0   0  1  0  1  0   0  0  0  0  0   0  0  0  0  0  0 |  1  1  0  1  1  0  0  0  0  0 0 0
..oo..5..oo.. ..oo..5..oo..&#x  | 0  0  1  1  0  0 |  *  *   *  *  *  * 100  *  *  *   *   *   *  *  *  * |  0  0 0  0  0  0   1  0  1  1  0   1  0  0  0  0   0  0  0  0  0  0 |  0  0  1  1  1  1  0  0  0  0 0 0
..o.o.5..o.o. ..o.o.5..o.o.&#x  | 0  0  1  0  1  0 |  *  *   *  *  *  *   * 50  *  *   *   *   *  *  *  * |  0  0 0  0  0  0   0  0  0  0  1   2  0  0  0  0   0  0  0  0  0  0 |  0  0  1  0  0  2  0  0  0  0 0 0
...x.. ...... ...... ......     | 0  0  0  2  0  0 |  *  *   *  *  *  *   *  * 25  *   *   *   *  *  *  * |  0  0 0  0  0  0   0  0  2  0  0   0  2  2  0  0   0  0  0  0  0  0 |  0  0  0  0  1  2  2  1  0  0 0 0
...... ...x.. ...... ......     | 0  0  0  2  0  0 |  *  *   *  *  *  *   *  *  * 25   *   *   *  *  *  * |  0  0 0  0  0  1   0  0  0  0  0   0  0  0  2  0   0  0  0  0  0  0 |  0  0  2  0  0  0  0  0  1  0 0 0
...oo.5...oo. ...oo.5...oo.&#x  | 0  0  0  1  1  0 |  *  *   *  *  *  *   *  *  *  * 100   *   *  *  *  * |  0  0 0  0  0  0   0  0  0  0  0   1  1  0  0  0   1  0  0  0  0  0 |  0  0  1  0  0  1  1  0  0  0 0 0
...o.o5...o.o ...o.o5...o.o&#x  | 0  0  0  1  0  1 |  *  *   *  *  *  *   *  *  *  *   * 100   *  *  *  * |  0  0 0  0  0  0   0  0  0  0  0   0  0  1  1  1   1  0  0  0  0  0 |  0  0  1  0  0  0  1  1  1  0 0 0
....oo5....oo ....oo5....oo&#x  | 0  0  0  0  1  1 |  *  *   *  *  *  *   *  *  *  *   *   * 100  *  *  * |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  0   1  1  1  0  0  0 |  0  0  1  0  0  0  1  0  0  1 0 0
.....x ...... ...... ......     | 0  0  0  0  0  2 |  *  *   *  *  *  *   *  *  *  *   *   *   * 50  *  * |  0  0 0  0  0  0   0  0  0  0  0   0  0  1  0  0   0  1  0  1  1  1 |  0  0  0  0  0  0  1  1  0  1 1 1
...... ...... .....x ......     | 0  0  0  0  0  2 |  *  *   *  *  *  *   *  *  *  *   *   *   *  * 25  * |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  0   0  0  2  0  2  0 |  0  0  1  0  0  0  0  0  0  2 1 0
...... ...... ...... .....x     | 0  0  0  0  0  2 |  *  *   *  *  *  *   *  *  *  *   *   *   *  *  * 25 |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  2   0  0  0  0  0  2 |  0  0  0  0  0  0  0  2  1  0 0 1
--------------------------------+------------------+------------------------------------------------------+---------------------------------------------------------------------+----------------------------------
o.x... ...... ...... ......&#x  | 1  0  2  0  0  0 |  2  0   0  0  1  0   0  0  0  0   0   0   0  0  0  0 | 25  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  2  0  0  0  0  0  0  0  0  0 0 0
...... ...... ...... o.x...&#x  | 1  0  2  0  0  0 |  2  0   0  0  0  1   0  0  0  0   0   0   0  0  0  0 |  * 50 *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  1  1  0  0  0  0  0  0  0  0 0 0
...... ...... .x....5.o....     | 0  5  0  0  0  0 |  0  5   0  0  0  0   0  0  0  0   0   0   0  0  0  0 |  *  * 5  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  2  0  0  0  0  0  0  0  0 0 0
...... ...... .xo... ......&#x  | 0  2  1  0  0  0 |  0  1   2  0  0  0   0  0  0  0   0   0   0  0  0  0 |  *  * * 50  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  1  1  0  0  0  0  0  0  0 0 0
...... ...... ...... .ox...&#x  | 0  1  2  0  0  0 |  0  0   2  0  0  1   0  0  0  0   0   0   0  0  0  0 |  *  * *  * 50  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  1  0  1  0  0  0  0  0  0 0 0
...... .o.x.. ...... ......&#x  | 0  1  0  2  0  0 |  0  0   0  2  0  0   0  0  0  1   0   0   0  0  0  0 |  *  * *  *  * 25   *  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  0  2  0  0  0  0  0  0  0 0 0
.ooo..5.ooo.. .ooo..5.ooo..&#x  | 0  1  1  1  0  0 |  0  0   1  1  0  0   1  0  0  0   0   0   0  0  0  0 |  *  * *  *  *  * 100  *  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  0  1  1  0  0  0  0  0  0 0 0
..x... ...... ...... ..x...     | 0  0  4  0  0  0 |  0  0   0  0  2  2   0  0  0  0   0   0   0  0  0  0 |  *  * *  *  *  *   * 25  *  *  *   *  *  *  *  *   *  *  *  *  *  * |  1  0  0  0  1  0  0  0  0  0 0 0
..xx.. ...... ...... ......&#x  | 0  0  2  2  0  0 |  0  0   0  0  1  0   2  0  1  0   0   0   0  0  0  0 |  *  * *  *  *  *   *  * 50  *  *   *  *  *  *  *   *  *  *  *  *  * |  0  0  0  0  1  1  0  0  0  0 0 0
...... ...... ...... ..xo..&#x  | 0  0  2  1  0  0 |  0  0   0  0  0  1   2  0  0  0   0   0   0  0  0  0 |  *  * *  *  *  *   *  *  * 50  *   *  *  *  *  *   *  *  *  *  *  * |  0  0  0  1  1  0  0  0  0  0 0 0
..x.o. ...... ...... ......&#x  | 0  0  2  0  1  0 |  0  0   0  0  1  0   0  2  0  0   0   0   0  0  0  0 |  *  * *  *  *  *   *  *  *  * 25   *  *  *  *  *   *  *  *  *  *  * |  0  0  0  0  0  2  0  0  0  0 0 0
..ooo.5..ooo. ..ooo.5..ooo.&#x  | 0  0  1  1  1  0 |  0  0   0  0  0  0   1  1  0  0   1   0   0  0  0  0 |  *  * *  *  *  *   *  *  *  *  * 100  *  *  *  *   *  *  *  *  *  * |  0  0  1  0  0  1  0  0  0  0 0 0
...xo. ...... ...... ......&#x  | 0  0  0  2  1  0 |  0  0   0  0  0  0   0  0  1  0   2   0   0  0  0  0 |  *  * *  *  *  *   *  *  *  *  *   * 50  *  *  *   *  *  *  *  *  * |  0  0  0  0  0  1  1  0  0  0 0 0
...x.x ...... ...... ......&#x  | 0  0  0  2  0  2 |  0  0   0  0  0  0   0  0  1  0   0   2   0  1  0  0 |  *  * *  *  *  *   *  *  *  *  *   *  * 50  *  *   *  *  *  *  *  * |  0  0  0  0  0  0  1  1  0  0 0 0
...... ...x.o ...... ......&#x  | 0  0  0  2  0  1 |  0  0   0  0  0  0   0  0  0  1   0   2   0  0  0  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  * 50  *   *  *  *  *  *  * |  0  0  1  0  0  0  0  0  1  0 0 0
...... ...... ...... ...o.x&#x  | 0  0  0  1  0  2 |  0  0   0  0  0  0   0  0  0  0   0   2   0  0  0  1 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  * 50   *  *  *  *  *  * |  0  0  0  0  0  0  0  1  1  0 0 0
...ooo5...ooo ...ooo5...ooo&#x  | 0  0  0  1  1  1 |  0  0   0  0  0  0   0  0  0  0   1   1   1  0  0  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  * 100  *  *  *  *  * |  0  0  1  0  0  0  1  0  0  0 0 0
....ox ...... ...... ......&#x  | 0  0  0  0  1  2 |  0  0   0  0  0  0   0  0  0  0   0   0   2  1  0  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   * 50  *  *  *  * |  0  0  0  0  0  0  1  0  0  1 0 0
...... ...... ....ox ......&#x  | 0  0  0  0  1  2 |  0  0   0  0  0  0   0  0  0  0   0   0   2  0  1  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  * 50  *  *  * |  0  0  1  0  0  0  0  0  0  1 0 0
.....x5.....o ...... ......     | 0  0  0  0  0  5 |  0  0   0  0  0  0   0  0  0  0   0   0   0  5  0  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  * 10  *  * |  0  0  0  0  0  0  0  0  0  0 1 1
.....x ...... .....x ......     | 0  0  0  0  0  4 |  0  0   0  0  0  0   0  0  0  0   0   0   0  2  2  0 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  * 25  * |  0  0  0  0  0  0  0  0  0  1 1 0
.....x ...... ...... .....x     | 0  0  0  0  0  4 |  0  0   0  0  0  0   0  0  0  0   0   0   0  2  0  2 |  *  * *  *  *  *   *  *  *  *  *   *  *  *  *  *   *  *  *  *  * 25 |  0  0  0  0  0  0  0  1  0  0 0 1
--------------------------------+------------------+------------------------------------------------------+---------------------------------------------------------------------+----------------------------------
o.x... ...... ...... o.x...&#x  ♦ 1  0  4  0  0  0 |  4  0   0  0  2  2   0  0  0  0   0   0   0  0  0  0 |  2  2 0  0  0  0   0  1  0  0  0   0  0  0  0  0   0  0  0  0  0  0 | 25  *  *  *  *  *  *  *  *  * * *
...... ...... oxo...5oox...&#xt ♦ 1  5  5  0  0  0 |  5  5  10  0  0  5   0  0  0  0   0   0   0  0  0  0 |  0  5 1  5  5  0   0  0  0  0  0   0  0  0  0  0   0  0  0  0  0  0 |  * 10  *  *  *  *  *  *  *  * * * (tower: 132)
...... .ofxfo .xofox ......&#xt ♦ 0  2  2  4  2  2 |  0  1   4  4  0  0   4  2  0  2   4   4   4  0  1  0 |  0  0 0  2  0  2   4  0  0  0  0   4  0  0  2  0   4  0  2  0  0  0 |  *  * 25  *  *  *  *  *  *  * * *
...... ...... ...... .oxo..&#x  ♦ 0  1  2  1  0  0 |  0  0   2  1  0  1   2  0  0  0   0   0   0  0  0  0 |  0  0 0  0  1  0   2  0  0  1  0   0  0  0  0  0   0  0  0  0  0  0 |  *  *  * 50  *  *  *  *  *  * * *
..xx.. ...... ...... ..xo..&#x  ♦ 0  0  4  2  0  0 |  0  0   0  0  2  2   4  0  1  0   0   0   0  0  0  0 |  0  0 0  0  0  0   0  1  2  2  0   0  0  0  0  0   0  0  0  0  0  0 |  *  *  *  * 25  *  *  *  *  * * *
..xxo. ...... ...... ......&#x  ♦ 0  0  2  2  1  0 |  0  0   0  0  1  0   2  2  1  0   2   0   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 |  *  *  *  *  * 50  *  *  *  * * *
...xox ...... ...... ......&#x  ♦ 0  0  0  2  1  2 |  0  0   0  0  0  0   0  0  1  0   2   2   2  1  0  0 |  0  0 0  0  0  0   0  0  0  0  0   0  1  1  0  0   2  1  0  0  0  0 |  *  *  *  *  *  * 50  *  *  * * *
...x.x ...... ...... ...o.x&#x  ♦ 0  0  0  2  0  4 |  0  0   0  0  0  0   0  0  1  0   0   4   0  2  0  2 |  0  0 0  0  0  0   0  0  0  0  0   0  0  2  0  2   0  0  0  0  0  1 |  *  *  *  *  *  *  * 25  *  * * *
...... ...x.o ...... ...o.x&#x  ♦ 0  0  0  2  0  2 |  0  0   0  0  0  0   0  0  0  1   0   4   0  0  0  1 |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  2  2   0  0  0  0  0  0 |  *  *  *  *  *  *  *  * 25  * * *
....ox ...... ....ox ......&#x  ♦ 0  0  0  0  1  4 |  0  0   0  0  0  0   0  0  0  0   0   0   4  2  2  0 |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  0   0  2  2  0  1  0 |  *  *  *  *  *  *  *  *  * 25 * *
.....x5.....o .....x ......     ♦ 0  0  0  0  0 10 |  0  0   0  0  0  0   0  0  0  0   0   0   0 10  5  0 |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  0   0  0  0  2  5  0 |  *  *  *  *  *  *  *  *  *  * 5 *
.....x5.....o ...... .....x     ♦ 0  0  0  0  0 10 |  0  0   0  0  0  0   0  0  0  0   0   0   0 10  0  5 |  0  0 0  0  0  0   0  0  0  0  0   0  0  0  0  0   0  0  0  2  0  5 |  *  *  *  *  *  *  *  *  *  * * 5