Map Projections of Alternative Structures: Torus, Hyperboloid, Paraboloid, Onion Shape and Others - Map Projections: Cartographic Information Systems - page 622

Z

0.6

-0.6 -0.4 -0.2 0 0.2 0.4

√

X 2 +Y 2

-0.2

-0.4

-0.6

-0.8

-1

Fig. 23.23. Th e onion function √ X 2 + Y 2 = aZ n/ ( n +1) √ 1 − Z 2 / ( n +1) with respect to the onion constants

∈ 1 , √ 2 , 2 , 3 , 4 , 5

n =17 ,a

-0.4 -0.2 Z 0 0.2 0.4

√

X 2 +Y 2

-0.2

-0.4

-0.6

-0.8

-1

Fig. 23.24. Th e onion function √ X 2 + Y 2 = aZ n/ ( n +1) √ 1

− Z 2 / ( n +1) with respect to the onion constants

∈ 1 , √ 2 , 2 , 3 , 4 , 5 n =31 ,a