What is an Antiprism?
In geometry, an n-gonal antiprism or n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of prismatoids and are a (degenerate) type of snub polyhedron. Antiprisms are similar to prisms except that the bases are twisted relatively to each other, and that the side faces are triangles, rather than quadrilaterals. In the case of a regular n-sided base, one usually considers the case where its copy is twisted by an angle of 180/n degrees. Extra regularity is obtained when the line connecting the base centers is perpendicular to the base planes, making it a right antiprism. As faces, it has the two n-gonal bases and, connecting those bases, 2n isosceles triangles.
How to Calculate Edge length of Antiprism given surface to volume ratio?
Edge length of Antiprism given surface to volume ratio calculator uses side = ((12*(sin(pi/Number of Vertices))^2)*(Number of Vertices/2)*(cot(pi/Number of Vertices)+sqrt(3)))/((Number of Vertices*sqrt(4*(cos(pi/(2*Number of Vertices))^2)-1)*(sin((3*pi)/(2*Number of Vertices)))*Surface to Volume Ratio)) to calculate the Side, The Edge length of Antiprism given surface to volume ratio formula is defined as a straight line joining two adjacent vertices of Antiprism. Where, a = Antiprism edge. Side and is denoted by S symbol.
How to calculate Edge length of Antiprism given surface to volume ratio using this online calculator? To use this online calculator for Edge length of Antiprism given surface to volume ratio, enter Number of Vertices (N_{Vertices}) & Surface to Volume Ratio (R_{AV}) and hit the calculate button. Here is how the Edge length of Antiprism given surface to volume ratio calculation can be explained with given input values -> 9.844979 = ((12*(sin(pi/5))^2)*(5/2)*(cot(pi/5)+sqrt(3)))/((5*sqrt(4*(cos(pi/(2*5))^2)-1)*(sin((3*pi)/(2*5)))*0.5)).