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Usage: kiteohedron [options] frac_A frac_B [frac_C] The three fractions A, B, C (default 2) specifying the Schwarz triangle vertices, where n/d corresponds to an angle PI*d/n. The kite has vertices along A, C, B, and C reflected in AB. The kite is repeated with the symmetry corresponding to the base Schwarz triangle. Options -h this help message -l ht height of kite vertex on OA (cannot use with -p)) -p ht height of pivot, midpoint of C and C reflected in AB (cannot use with -l)) -k output a single kite (colours not applied) -c type colour the faces around each vertex of a type, from AaBbCc (colouring by value/index for upper/lower case) using a different colour for each set -o <file> write output to file (default: write to standard output)
kiteohedron 5 3 2 | antiviewGeneral member of series including deltoidal icositetrahedron. The third vertex of the triangle uses the default of 2
kiteohedron 3 4 | antiviewGeneral member of series including deltoidal icositetrahedron. Set a height for the point along the first vertex (fixes the pivot)
kiteohedron -l 2.5 3 4 | antiviewGeneral member of series including deltoidal icositetrahedron. Set a height for the pivot, the midpoint of the line segment joining the kite's side vertices (fixes the vertex at A).
kiteohedron -p 2.5 3 4 | antiviewGeneral member of series including deltoidal icositetrahedron. The vertex order is significant
kiteohedron -l 2.5 4 3 | antiviewColour faces around vertices of type A (the first vertex, in this case with angle 4) in sets
kiteohedron -c A -l 2.5 4 3 | antiviewColour faces around vertices of type B (the second vertex, in this case with angle 3) in sets
kiteohedron -c B -l 2.5 4 3 | antiviewColour faces around vertices of type C (the third vertex, in this case with angle 3). With vertex C only half the faces around each vertex have the same colour
kiteohedron -c C -l 2.5 4 3 | antiviewOutput a single kite
kiteohedron -k -l 2.5 4 3 | antiviewNegative heights are allowed
kiteohedron -l -2.5 4 3 2 | antiviewInstead of using a negative height, B and C could be replaced with their supplements
kiteohedron -l 2.5 4 3/2 2 | antiviewThe duals can be attractive
kiteohedron -l 0.3 5/4 5/2 2 | pol_recip | antiviewModels with A or B as 2 will be degenerate, and have triangles for kites
kiteohedron 3 2 4| antiview
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