Acronym  ... 
Name  general 72stepprism 
©  
Circumradius  sqrt(A^{2}+B^{2}) 
Coordinates  (A sin(2πk/7), A cos(2πk/7), B sin(2πk/7), B cos(2πk/7)) 0 ≤ k ≤ 6 
Confer 

External links 
An nmstep prism is inscribed within an according variant of an nduoprism, in fact it cycles a subset of its vertices in the n×n grid by means of an inclined line of slope n/m. It then uses the convex hull of that subset of points.
Let y = x(7,2) = sin(2π/7)/sin(π/7) = 1.801938 and z = x(7,3) = sin(3π/7)/sin(π/7) = 2.246980 then the edge sizes, as given below, would be a = sqrt(A^{2}+y^{2}B^{2}), b = sqrt(y^{2}A^{2}+z^{2}B^{2}), and c = sqrt(z^{2}A^{2}+B^{2}).
7  2 2 2  3 3 6  4 4 verf: biapiculated tet +++ 2  7 * *  2 1 2  3 2 a (5valence) 2  * 7 *  1 0 2  2 1 b (3valence) 2  * * 7  0 2 2  1 3 c (4valence) +++ 3  2 1 0  7 * *  2 0 aab 3  1 0 2  * 7 *  0 2 acc 3  1 1 1  * * 14  1 1 abc +++ 4  3 2 1  2 0 2  7 * phyllic disphenoid type 1 4  2 1 3  0 2 2  * 7 phyllic disphenoid type 2
© 20042021  top of page 