Map Projections of Alternative Structures: Torus, Hyperboloid, Paraboloid, Onion Shape and Others - Map Projections: Cartographic Information Systems - page 630

Fig. 23.28. Equiareal mapping of the church tower of onion shape Z 2 ( n =3 ,a = 2) onto a developed cylinder
C g ( V )

Z 2 ( n =3 ,a = 2) onto a developed cylinder

Fig. 23.29. Equidistant mapping of the church tower of onion shape

C g ( V )

R = cos α sin α

, α ( s )

(23.125)

− sin α cos α

is the representation of the rotation matrix in terms of the polar coordinate α .Asanangle
α describes the circular motion of the tangent vector

μ as well as the normal vector v .