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The pedal curve of an epicycloid x = (a+b)cost-b[((a+b)t)/b] (1) y = (a+b)sint-bsin[((a+b)t)/b] (2) with pedal point at the origin is x_p = 1/2(a+2b){cost-cos[((a+b)t)/b]} ...

The dual of the great dodecicosidodecahedron U_(61) and Wenninger dual W_(99).

The dual of the great icosicosidodecahedron U_(48) and Wenninger dual W_(88).

The dual of the rhombidodecadodecahedron U_(38) and Wenninger dual W_(76).

The dual of the snub icosidodecadodecahedron U_(44) and Wenninger dual W_(112).

The dual of the snub dodecadodecahedron U_(40) and Wenninger dual W_(111).

The dual polyhedron of the rhombicosahedron U_(56) and Wenninger dual W_(96).

The dual polyhedron of the tetrahemihexahedron U_4 and Wenninger dual W_(67).

A fractal curve of infinite length which bounds an area twice that of the original square.

The inverse curve of the epispiral r=asec(ntheta) with inversion center at the origin and inversion radius k is the rose curve r=(kcos(ntheta))/a.