| 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
|
| Face vector | 40, 130, 124, 34 |
| Confer |
|
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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