x5o            
            B              
o5x                     o5x
                        C  
                           
     f5o           f5o     
                   D       
                           
                           
                           
            x5x            
            E              

Incidence matrix

xofx5oxox ofxo&#xt   → height(1,2) = sqrt[(5-sqrt(5))/40] = 0.262866 = y
                       height(2,3) = sqrt[(5+sqrt(5))/40] = 0.425325 = yf
                       height(3,4) = sqrt[(5+2 sqrt(5))/20] = 0.688191 = y(f+1) = yF

o...5o... o...     | 5  *  *  * | 2  4  2  0  0 0  0 0 0 | 1  4  2  4 1 0  0  0  0  0 0 | 2 2  2 0 0  B
.o..5.o.. .o..     | * 10  *  * | 0  2  0  2  2 0  0 0 0 | 0  1  2  2 0 1  2  1  0  0 0 | 1 1  2 1 0  C
..o.5..o. ..o.     | *  * 10  * | 0  0  1  0  2 1  2 0 0 | 0  0  0  2 1 0  1  2  2  1 0 | 0 2  1 1 1  D
...o5...o ...o     | *  *  * 10 | 0  0  0  0  0 0  2 1 1 | 0  0  0  0 0 0  0  2  1  2 1 | 0 1  0 2 1  E
-------------------+------------+------------------------+------------------------------+-----------
x... .... ....     | 2  0  0  0 | 5  *  *  *  * *  * * * | 1  2  0  0 0 0  0  0  0  0 0 | 2 1  0 0 0
oo..5oo.. oo..&#x  | 1  1  0  0 | * 20  *  *  * *  * * * | 0  1  1  1 0 0  0  0  0  0 0 | 1 1  1 0 0
o.o.5o.o. o.o.&#x  | 1  0  1  0 | *  * 10  *  * *  * * * | 0  0  0  2 1 0  0  0  0  0 0 | 0 2  1 0 0
.... .x.. ....     | 0  2  0  0 | *  *  * 10  * *  * * * | 0  0  1  0 0 1  1  0  0  0 0 | 1 0  1 1 0
.oo.5.oo. .oo.&#x  | 0  1  1  0 | *  *  *  * 20 *  * * * | 0  0  0  1 0 0  1  1  0  0 0 | 0 1  1 1 0
.... .... ..x.     | 0  0  2  0 | *  *  *  *  * 5  * * * | 0  0  0  0 1 0  0  0  2  0 0 | 0 2  0 0 1
..oo5..oo ..oo&#x  | 0  0  1  1 | *  *  *  *  * * 20 * * | 0  0  0  0 0 0  0  1  1  1 0 | 0 1  0 1 1
...x .... ....     | 0  0  0  2 | *  *  *  *  * *  * 5 * | 0  0  0  0 0 0  0  2  0  0 1 | 0 1  0 2 0
.... ...x ....     | 0  0  0  2 | *  *  *  *  * *  * * 5 | 0  0  0  0 0 0  0  0  0  2 1 | 0 0  0 2 1
-------------------+------------+------------------------+------------------------------+-----------
x...5o... ....     | 5  0  0  0 | 5  0  0  0  0 0  0 0 0 | 1  *  *  * * *  *  *  *  * * | 2 0  0 0 0
xo.. .... ....&#x  | 2  1  0  0 | 1  2  0  0  0 0  0 0 0 | * 10  *  * * *  *  *  *  * * | 1 1  0 0 0
.... ox.. ....&#x  | 1  2  0  0 | 0  2  0  1  0 0  0 0 0 | *  * 10  * * *  *  *  *  * * | 1 0  1 0 0
ooo.5ooo. ooo.&#x  | 1  1  1  0 | 0  1  1  0  1 0  0 0 0 | *  *  * 20 * *  *  *  *  * * | 0 1  1 0 0
.... .... o.x.&#x  | 1  0  2  0 | 0  0  2  0  0 1  0 0 0 | *  *  *  * 5 *  *  *  *  * * | 0 2  0 0 0
.o..5.x.. ....     | 0  5  0  0 | 0  0  0  5  0 0  0 0 0 | *  *  *  * * 2  *  *  *  * * | 1 0  0 1 0
.... .xo. ....&#x  | 0  2  1  0 | 0  0  0  1  2 0  0 0 0 | *  *  *  * * * 10  *  *  * * | 0 0  1 1 0
.ofx .... ....&#xt | 0  1  2  2 | 0  0  0  0  2 0  2 1 0 | *  *  *  * * *  * 10  *  * * | 0 1  0 1 0
.... .... ..xo&#x  | 0  0  2  1 | 0  0  0  0  0 1  2 0 0 | *  *  *  * * *  *  * 10  * * | 0 1  0 0 1
.... ..ox ....&#x  | 0  0  1  2 | 0  0  0  0  0 0  2 0 1 | *  *  *  * * *  *  *  * 10 * | 0 0  0 1 1
...x5...x ....     | 0  0  0 10 | 0  0  0  0  0 0  0 5 5 | *  *  *  * * *  *  *  *  * 1 | 0 0  0 2 0  wedge
-------------------+------------+------------------------+------------------------------+-----------
xo..5ox.. ....&#x  ♦ 5  5  0  0 | 5 10  0  5  0 0  0 0 0 | 1  5  5  0 0 1  0  0  0  0 0 | 2 *  * * *
xofx .... ofxo&#xt ♦ 2  2  4  2 | 1  4  4  0  4 2  4 1 0 | 0  2  0  4 2 0  0  2  2  0 0 | * 5  * * *
.... oxo. ....&#x  ♦ 1  2  1  0 | 0  2  1  1  2 0  0 0 0 | 0  0  1  2 0 0  1  0  0  0 0 | * * 10 * *
.ofx5.xox ....&#xt ♦ 0  5  5 10 | 0  0  0  5 10 0 10 5 5 | 0  0  0  0 0 1  5  5  0  5 1 | * *  * 2 *
.... ..ox ..xo&#x  ♦ 0  0  2  2 | 0  0  0  0  0 1  4 0 1 | 0  0  0  0 0 0  0  0  2  2 0 | * *  * * 5

B  C  D  E