Acronym | n-dep |
Name |
n-gonal duoexpandoprism, expanded n-n-duoprism, tegum sum of 2 alternated n-2n-duoprisms |
Circumradius | sqrt[1/(4 sin2(π/2n))+1/(4 sin2(π/n))] |
Face vector | 4n2, 12n2, 12n2+4n, 4n2+4n |
Especially | triddep (n=3) sidpith (n=4) |
Confer |
|
External links | , eg. (n=3) |
Incidence matrix according to Dynkin symbol
xo-n-xx ox-n-xx&#zy → height = 0 y = 1/[sqrt(2) sin(π/n)] (y-laced tegum sum of 2 alternate n-2n-dips) o.-n-o. o.-n-o. & | 4nn | 1 1 2 2 | 2 2 1 3 4 | 1 1 1 3 2 ----------------------+-----+-----------------+--------------------+---------------- x. .. .. .. & | 2 | 2nn * * * | 2 0 0 2 0 | 1 0 1 2 0 .. x. .. .. & | 2 | * 2nn * * | 0 2 0 0 2 | 0 1 0 1 2 .. .. .. x. & | 2 | * * 4nn * | 1 1 1 0 1 | 1 1 0 1 1 oo-n-oo oo-n-oo&#y | 2 | * * * 4nn | 0 0 0 2 2 | 0 0 1 2 1 ----------------------+-----+-----------------+--------------------+---------------- x. .. .. x. & | 4 | 2 0 2 0 | 2nn * * * * | 1 0 0 1 0 .. x. .. x. & | 4 | 0 2 2 0 | * 2nn * * * | 0 1 0 0 1 .. .. o.-n-x. & | n | 0 0 n 0 | * * 4n * * | 1 1 0 0 0 xo .. .. ..&#y & | 3 | 1 0 0 2 | * * * 4nn * | 0 0 1 1 0 (xxy) .. xx .. ..&#y & | 4 | 0 1 1 2 | * * * * 4nn | 0 0 0 1 1 (xyxy) ----------------------+-----+-----------------+--------------------+---------------- x. .. o.-n-x. & | 2n | n 0 2n 0 | n 0 2 0 0 | 2n * * * * n-p .. x. o.-n-x. & | 2n | 0 n 2n 0 | 0 n 2 0 0 | * 2n * * * n-p xo .. ox ..&#y | 4 | 2 0 0 4 | 0 0 0 4 0 | * * nn * * 2ap variant xo .. .. xx&#y & | 6 | 2 1 2 4 | 1 0 0 2 2 | * * * 2nn * wedge-like trip variant .. xx .. xx&#y | 8 | 0 4 4 4 | 0 2 0 0 4 | * * * * nn 4p variant
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