Acronym papaid, pap || id, K-4.142
Name pentagonal-antiprism atop icosidodecahedron
Segmentochoron display
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Lace city
in approx. ASCII-art
    x5o
       
       
       
    o5f
       
       
x5o    
       
       
    x5x
       
       
o5x    
       
       
    f5o
       
       
       
    o5x
Confer
uniform relative:
rox  
related segmentochora:
ikaid   pippy  
general polytopal classes:
segmentochora  

Incidence matrix

xo5ox&#x || xoxfo5ofxox&#xt   → height = (sqrt(5)-1)/4 = 0.309017
(pap || id)

o.5o.    || ..... .....     | 5 * * *  * * * | 2  2 1  2  2 0  0  0 0 0  0  0 0 0  0  0 0 | 1 2 1  2 2  2 2  2 1 0 0  0 0  0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 1 2 0 0 0 0
.o5.o    || ..... .....     | * 5 * *  * * * | 0  2 0  0  0 2  2  2 1 0  0  0 0 0  0  0 0 | 0 1 2  2 0  0 0  0 0 1 1  2 2  2 2 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0 1 2 1 0
.. ..    || o....5o....     | * * 5 *  * * * | 0  0 1  0  0 0  0  0 0 2  2  0 0 0  0  0 0 | 0 0 0  0 2  2 0  0 0 0 0  0 0  0 0 1 2 1 0 0 0 0 0 | 0 0 0 1 1 2 0 0 0 1
.. ..    || .o...5.o...     | * * * 5  * * * | 0  0 0  2  0 0  0  0 0 0  2  2 0 0  0  0 0 | 0 0 0  0 0  2 1  2 0 0 0  0 0  0 0 0 1 2 1 0 0 0 0 | 0 1 0 0 2 1 0 0 0 1
.. ..    || ..o..5..o..     | * * * * 10 * * | 0  0 0  0  1 0  1  0 0 0  0  1 1 1  1  0 0 | 0 0 0  1 0  0 0  1 1 0 1  1 0  0 0 0 0 1 1 1 1 0 0 | 0 1 1 0 1 0 1 0 0 1
.. ..    || ...o.5...o.     | * * * *  * 5 * | 0  0 0  0  0 0  0  2 0 0  0  0 0 0  2  2 0 | 0 0 0  0 0  0 0  0 0 0 0  2 1  2 0 0 0 0 0 2 1 1 0 | 0 0 1 0 0 0 2 1 0 1
.. ..    || ....o5....o     | * * * *  * * 5 | 0  0 0  0  0 0  0  0 1 0  0  0 0 0  0  2 2 | 0 0 0  0 0  0 0  0 0 0 0  0 0  2 2 0 0 0 0 1 0 2 1 | 0 0 0 0 0 0 1 2 1 1
----------------------------+----------------+--------------------------------------------+----------------------------------------------------+--------------------
x. ..    || ..... .....     | 2 0 0 0  0 0 0 | 5  * *  *  * *  *  * * *  *  * * *  *  * * | 1 1 0  0 1  0 1  0 0 0 0  0 0  0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 1 0 0 0 0
oo5oo&#x || ..... .....     | 1 1 0 0  0 0 0 | * 10 *  *  * *  *  * * *  *  * * *  *  * * | 0 1 1  1 0  0 0  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
o.5o.    || o....5o....     | 1 0 1 0  0 0 0 | *  * 5  *  * *  *  * * *  *  * * *  *  * * | 0 0 0  0 2  2 0  0 0 0 0  0 0  0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 2 0 0 0 0
o.5o.    || .o...5.o...     | 1 0 0 1  0 0 0 | *  * * 10  * *  *  * * *  *  * * *  *  * * | 0 0 0  0 0  1 1  1 0 0 0  0 0  0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 0 0 0
o.5o.    || ..o..5..o..     | 1 0 0 0  1 0 0 | *  * *  * 10 *  *  * * *  *  * * *  *  * * | 0 0 0  1 0  0 0  1 1 0 0  0 0  0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0
.. .x    || ..... .....     | 0 2 0 0  0 0 0 | *  * *  *  * 5  *  * * *  *  * * *  *  * * | 0 0 1  0 0  0 0  0 0 1 0  0 1  0 1 0 0 0 0 0 0 0 0 | 1 0 1 0 0 0 0 1 1 0
.o5.o    || ..o..5..o..     | 0 1 0 0  1 0 0 | *  * *  *  * * 10  * * *  *  * * *  *  * * | 0 0 0  1 0  0 0  0 0 0 1  1 0  0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 1 0 0 0
.o5.o    || ...o.5...o.     | 0 1 0 0  0 1 0 | *  * *  *  * *  * 10 * *  *  * * *  *  * * | 0 0 0  0 0  0 0  0 0 0 0  1 1  1 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 1 1 0 0
.o5.o    || ....o5....o     | 0 1 0 0  0 0 1 | *  * *  *  * *  *  * 5 *  *  * * *  *  * * | 0 0 0  0 0  0 0  0 0 0 0  0 0  2 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 1 0
.. ..    || x.... .....     | 0 0 2 0  0 0 0 | *  * *  *  * *  *  * * 5  *  * * *  *  * * | 0 0 0  0 1  0 0  0 0 0 0  0 0  0 0 1 1 0 0 0 0 0 0 | 0 0 0 1 0 1 0 0 0 1
.. ..    || oo...5oo...&#x  | 0 0 1 1  0 0 0 | *  * *  *  * *  *  * * * 10  * * *  *  * * | 0 0 0  0 0  1 0  0 0 0 0  0 0  0 0 0 1 1 0 0 0 0 0 | 0 0 0 0 1 1 0 0 0 1
.. ..    || .oo..5.oo..&#x  | 0 0 0 1  1 0 0 | *  * *  *  * *  *  * * *  * 10 * *  *  * * | 0 0 0  0 0  0 0  1 0 0 0  0 0  0 0 0 0 1 1 0 0 0 0 | 0 1 0 0 1 0 0 0 0 1
.. ..    || ..x.. .....     | 0 0 0 0  2 0 0 | *  * *  *  * *  *  * * *  *  * 5 *  *  * * | 0 0 0  0 0  0 0  0 0 0 1  0 0  0 0 0 0 0 1 0 1 0 0 | 0 1 0 0 0 0 1 0 0 1
.. ..    || ..... ..x..     | 0 0 0 0  2 0 0 | *  * *  *  * *  *  * * *  *  * * 5  *  * * | 0 0 0  0 0  0 0  0 1 0 0  0 0  0 0 0 0 1 0 1 0 0 0 | 0 0 1 0 1 0 0 0 0 1
.. ..    || ..oo.5..oo.&#x  | 0 0 0 0  1 1 0 | *  * *  *  * *  *  * * *  *  * * * 10  * * | 0 0 0  0 0  0 0  0 0 0 0  1 0  0 0 0 0 0 0 1 1 0 0 | 0 0 1 0 0 0 1 0 0 1
.. ..    || ...oo5...oo&#x  | 0 0 0 0  0 1 1 | *  * *  *  * *  *  * * *  *  * * *  * 10 * | 0 0 0  0 0  0 0  0 0 0 0  0 0  1 0 0 0 0 0 1 0 1 0 | 0 0 0 0 0 0 1 1 0 1
.. ..    || ..... ....x     | 0 0 0 0  0 0 2 | *  * *  *  * *  *  * * *  *  * * *  *  * 5 | 0 0 0  0 0  0 0  0 0 0 0  0 0  0 1 0 0 0 0 0 0 1 1 | 0 0 0 0 0 0 0 1 1 1
----------------------------+----------------+--------------------------------------------+----------------------------------------------------+--------------------
x.5o.    || ..... .....     | 5 0 0 0  0 0 0 | 5  0 0  0  0 0  0  0 0 0  0  0 0 0  0  0 0 | 1 * *  * *  * *  * * * *  * *  * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0
xo ..&#x || ..... .....     | 2 1 0 0  0 0 0 | 1  2 0  0  0 0  0  0 0 0  0  0 0 0  0  0 0 | * 5 *  * *  * *  * * * *  * *  * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0
.. ox&#x || ..... .....     | 1 2 0 0  0 0 0 | 0  2 0  0  0 1  0  0 0 0  0  0 0 0  0  0 0 | * * 5  * *  * *  * * * *  * *  * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0
oo5oo&#x || ..o..5..o..     | 1 1 0 0  1 0 0 | 0  1 0  0  1 0  1  0 0 0  0  0 0 0  0  0 0 | * * * 10 *  * *  * * * *  * *  * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0
x. ..    || x.... .....     | 2 0 2 0  0 0 0 | 1  0 2  0  0 0  0  0 0 1  0  0 0 0  0  0 0 | * * *  * 5  * *  * * * *  * *  * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0
o.5o.    || oo...5oo...&#x  | 1 0 1 1  0 0 0 | 0  0 1  1  0 0  0  0 0 0  1  0 0 0  0  0 0 | * * *  * * 10 *  * * * *  * *  * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0
x. ..    || .o...5.o...     | 2 0 0 1  0 0 0 | 1  0 0  2  0 0  0  0 0 0  0  0 0 0  0  0 0 | * * *  * *  * 5  * * * *  * *  * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0
o.5o.    || .oo..5.oo..&#x  | 1 0 0 1  1 0 0 | 0  0 0  1  1 0  0  0 0 0  0  1 0 0  0  0 0 | * * *  * *  * * 10 * * *  * *  * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0
o.5o.    || ..... ..x..     | 1 0 0 0  2 0 0 | 0  0 0  0  2 0  0  0 0 0  0  0 0 1  0  0 0 | * * *  * *  * *  * 5 * *  * *  * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0
.o5.x    || ..... .....     | 0 5 0 0  0 0 0 | 0  0 0  0  0 5  0  0 0 0  0  0 0 0  0  0 0 | * * *  * *  * *  * * 1 *  * *  * * * * * * * * * * | 1 0 0 0 0 0 0 0 1 0
.o5.o    || ..x.. .....     | 0 1 0 0  2 0 0 | 0  0 0  0  0 0  2  0 0 0  0  0 1 0  0  0 0 | * * *  * *  * *  * * * 5  * *  * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0
.o5.o    || ..oo.5..oo.&#x  | 0 1 0 0  1 1 0 | 0  0 0  0  0 0  1  1 0 0  0  0 0 0  1  0 0 | * * *  * *  * *  * * * * 10 *  * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0
.. .x    || ...o.5...o.     | 0 2 0 0  0 1 0 | 0  0 0  0  0 1  0  2 0 0  0  0 0 0  0  0 0 | * * *  * *  * *  * * * *  * 5  * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0
.o5.o    || ...oo5...oo&#x  | 0 1 0 0  0 1 1 | 0  0 0  0  0 0  0  1 1 0  0  0 0 0  0  1 0 | * * *  * *  * *  * * * *  * * 10 * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0
.. .x    || ..... ....x     | 0 2 0 0  0 0 2 | 0  0 0  0  0 1  0  0 2 0  0  0 0 0  0  0 1 | * * *  * *  * *  * * * *  * *  * 5 * * * * * * * * | 0 0 0 0 0 0 0 1 1 0
.. ..    || x....5o....     | 0 0 5 0  0 0 0 | 0  0 0  0  0 0  0  0 0 5  0  0 0 0  0  0 0 | * * *  * *  * *  * * * *  * *  * * 1 * * * * * * * | 0 0 0 1 0 0 0 0 0 1
.. ..    || xo... .....&#x  | 0 0 2 1  0 0 0 | 0  0 0  0  0 0  0  0 0 1  2  0 0 0  0  0 0 | * * *  * *  * *  * * * *  * *  * * * 5 * * * * * * | 0 0 0 0 0 1 0 0 0 1
.. ..    || ..... ofx..&#xt | 0 0 1 2  2 0 0 | 0  0 0  0  0 0  0  0 0 0  2  2 0 1  0  0 0 | * * *  * *  * *  * * * *  * *  * * * * 5 * * * * * | 0 0 0 0 1 0 0 0 0 1
.. ..    || .ox.. .....&#x  | 0 0 0 1  2 0 0 | 0  0 0  0  0 0  0  0 0 0  0  2 1 0  0  0 0 | * * *  * *  * *  * * * *  * *  * * * * * 5 * * * * | 0 1 0 0 0 0 0 0 0 1
.. ..    || ..xfo .....&#xt | 0 0 0 0  2 2 1 | 0  0 0  0  0 0  0  0 0 0  0  0 0 1  2  2 0 | * * *  * *  * *  * * * *  * *  * * * * * * 5 * * * | 0 0 0 0 0 0 1 0 0 1
.. ..    || ..... ..xo.&#x  | 0 0 0 0  2 1 0 | 0  0 0  0  0 0  0  0 0 0  0  0 1 0  2  0 0 | * * *  * *  * *  * * * *  * *  * * * * * * * 5 * * | 0 0 1 0 0 0 0 0 0 1
.. ..    || ..... ...ox&#x  | 0 0 0 0  0 1 2 | 0  0 0  0  0 0  0  0 0 0  0  0 0 0  0  2 1 | * * *  * *  * *  * * * *  * *  * * * * * * * * 5 * | 0 0 0 0 0 0 0 1 0 1
.. ..    || ....o5....x     | 0 0 0 0  0 0 5 | 0  0 0  0  0 0  0  0 0 0  0  0 0 0  0  0 5 | * * *  * *  * *  * * * *  * *  * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 1 1
----------------------------+----------------+--------------------------------------------+----------------------------------------------------+--------------------
xo5ox&#x || ..... .....      5 5 0 0  0 0 0 | 5 10 0  0  0 5  0  0 0 0  0  0 0 0  0  0 0 | 1 5 5  0 0  0 0  0 0 1 0  0 0  0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * *
xo ..&#x || .ox.. .....&#x   2 1 0 1  2 0 0 | 1  2 0  2  2 0  2  0 0 0  0  2 1 0  0  0 0 | 0 1 0  2 0  0 1  2 0 0 1  0 0  0 0 0 0 0 1 0 0 0 0 | * 5 * * * * * * * *
.. ox&#x || ..... ..xo.&#x   1 2 0 0  2 1 0 | 0  2 0  0  2 1  2  2 0 0  0  0 0 1  2  0 0 | 0 0 1  2 0  0 0  0 1 0 0  2 1  0 0 0 0 0 0 0 1 0 0 | * * 5 * * * * * * *
x.5o.    || x....5o....      5 0 5 0  0 0 0 | 5  0 5  0  0 0  0  0 0 5  0  0 0 0  0  0 0 | 1 0 0  0 5  0 0  0 0 0 0  0 0  0 0 1 0 0 0 0 0 0 0 | * * * 1 * * * * * *
o.5o.    || ..... ofx..&#xt  1 0 1 2  2 0 0 | 0  0 1  2  2 0  0  0 0 0  2  2 0 1  0  0 0 | 0 0 0  0 0  2 0  2 1 0 0  0 0  0 0 0 0 1 0 0 0 0 0 | * * * * 5 * * * * *
x. ..    || xo... .....&#x   2 0 2 1  0 0 0 | 1  0 2  2  0 0  0  0 0 1  2  0 0 0  0  0 0 | 0 0 0  0 1  2 1  0 0 0 0  0 0  0 0 0 1 0 0 0 0 0 0 | * * * * * 5 * * * *
.o5.o    || ..xfo .....&#xt  0 1 0 0  2 2 1 | 0  0 0  0  0 0  2  2 1 0  0  0 1 0  2  2 0 | 0 0 0  0 0  0 0  0 0 0 1  2 0  2 0 0 0 0 0 1 0 0 0 | * * * * * * 5 * * *
.. .x    || ..... ...ox&#x   0 2 0 0  0 1 2 | 0  0 0  0  0 1  0  2 2 0  0  0 0 0  0  2 1 | 0 0 0  0 0  0 0  0 0 0 0  0 1  2 1 0 0 0 0 0 0 1 0 | * * * * * * * 5 * *
.o5.x    || ....o5....x&#x   0 5 0 0  0 0 5 | 0  0 0  0  0 5  0  0 5 0  0  0 0 0  0  0 5 | 0 0 0  0 0  0 0  0 0 1 0  0 0  0 5 0 0 0 0 0 0 0 1 | * * * * * * * * 1 *
.. ..    || xoxfo5ofxox&#xt  0 0 5 5 10 5 5 | 0  0 0  0  0 0  0  0 0 5 10 10 5 5 10 10 5 | 0 0 0  0 0  0 0  0 0 0 0  0 0  0 0 1 5 5 5 5 5 5 1 | * * * * * * * * * 1


or o.5o. || ..... ..... & | 10 * * * | 2 2 1 2 2 0 0 0 0 | 1 3 2 2 2 2 2 1 0 0 0 0 | 1 3 1 1 2 0 .. .. || o....5o.... & | * 10 * * | 0 0 1 0 0 2 2 0 0 | 0 0 0 2 2 0 0 0 1 2 1 0 | 0 0 1 1 2 1 .. .. || .o...5.o... & | * * 10 * | 0 0 0 2 0 0 2 2 0 | 0 0 0 0 2 1 2 0 0 1 2 1 | 0 1 0 2 1 1 .. .. || ..o..5..o.. | * * * 10 | 0 0 0 0 2 0 0 2 2 | 0 0 1 0 0 0 2 2 0 0 2 2 | 0 2 0 2 0 1 ------------------------------+-------------+----------------------------+-----------------------------------+--------------- x. .. || ..... ..... & | 2 0 0 0 | 10 * * * * * * * * | 1 1 0 1 0 1 0 0 0 0 0 0 | 1 1 1 0 1 0 oo5oo&#x || ..... ..... | 2 0 0 0 | * 10 * * * * * * * | 0 2 1 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 o.5o. || o....5o.... & | 1 1 0 0 | * * 10 * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 | 0 0 1 1 2 0 o.5o. || .o...5.o... & | 1 0 1 0 | * * * 20 * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 | 0 1 0 1 1 0 o.5o. || ..o..5..o.. & | 1 0 0 1 | * * * * 20 * * * * | 0 0 1 0 0 0 1 1 0 0 0 0 | 0 2 0 1 0 0 .. .. || x.... ..... & | 0 2 0 0 | * * * * * 10 * * * | 0 0 0 1 0 0 0 0 1 1 0 0 | 0 0 1 0 1 1 .. .. || oo...5oo...&#x & | 0 1 1 0 | * * * * * * 20 * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 0 1 1 1 .. .. || .oo..5.oo..&#x & | 0 0 1 1 | * * * * * * * 20 * | 0 0 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 0 1 .. .. || ..x.. ..... & | 0 0 0 2 | * * * * * * * * 10 | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 0 1 ------------------------------+-------------+----------------------------+-----------------------------------+--------------- x.5o. || ..... ..... & | 5 0 0 0 | 5 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * | 1 0 1 0 0 0 xo ..&#x || ..... ..... & | 3 0 0 0 | 1 2 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * | 1 1 0 0 0 0 oo5oo&#x || ..o..5..o.. | 2 0 0 1 | 0 1 0 0 2 0 0 0 0 | * * 10 * * * * * * * * * | 0 2 0 0 0 0 x. .. || x.... ..... & | 2 2 0 0 | 1 0 2 0 0 1 0 0 0 | * * * 10 * * * * * * * * | 0 0 1 0 1 0 o.5o. || oo...5oo...&#x & | 1 1 1 0 | 0 0 1 1 0 0 1 0 0 | * * * * 20 * * * * * * * | 0 0 0 1 1 0 x. .. || .o...5.o... & | 2 0 1 0 | 1 0 0 2 0 0 0 0 0 | * * * * * 10 * * * * * * | 0 1 0 0 1 0 o.5o. || .oo..5.oo..&#x & | 1 0 1 1 | 0 0 0 1 1 0 0 1 0 | * * * * * * 20 * * * * * | 0 1 0 1 0 0 o.5o. || ..... ..x.. & | 1 0 0 2 | 0 0 0 0 2 0 0 0 1 | * * * * * * * 10 * * * * | 0 1 0 1 0 0 .. .. || x....5o.... & | 0 5 0 0 | 0 0 0 0 0 5 0 0 0 | * * * * * * * * 2 * * * | 0 0 1 0 0 1 .. .. || xo... .....&#x & | 0 2 1 0 | 0 0 0 0 0 1 2 0 0 | * * * * * * * * * 10 * * | 0 0 0 0 1 1 .. .. || ..... ofx..&#xt & | 0 1 2 2 | 0 0 0 0 0 0 2 2 1 | * * * * * * * * * * 10 * | 0 0 0 1 0 1 .. .. || .ox.. .....&#x & | 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * 10 | 0 1 0 0 0 1 ------------------------------+-------------+----------------------------+-----------------------------------+--------------- xo5ox&#x || ..... ..... 10 0 0 0 | 10 10 0 0 0 0 0 0 0 | 2 10 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * xo ..&#x || .ox.. .....&#x & 3 0 1 2 | 1 2 0 2 4 0 0 2 1 | 0 1 2 0 0 1 2 1 0 0 0 1 | * 10 * * * * x.5o. || x....5o.... & 5 5 0 0 | 5 0 5 0 0 5 0 0 0 | 1 0 0 5 0 0 0 0 1 0 0 0 | * * 2 * * * o.5o. || ..... ofx..&#xt & 1 1 2 2 | 0 0 1 2 2 0 2 2 1 | 0 0 0 0 2 0 2 1 0 0 1 0 | * * * 10 * * x. .. || xo... .....&#x & 2 2 1 0 | 1 0 2 2 0 1 2 0 0 | 0 0 0 1 2 1 0 0 0 1 0 0 | * * * * 10 * .. .. || xoxfo5ofxox&#xt 0 10 10 10 | 0 0 0 0 0 10 20 20 10 | 0 0 0 0 0 0 0 0 2 10 10 10 | * * * * * 1

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