Wrapping a Curve around a Sphere

number of leaves

n

2.5

radius

r

3.

sphere opacity

0.85

⟵wrap

unwrap⟶

viewpoint

default

top

side

front

This Demonstration shows wrapping or unwrapping a polar rose curve in the

y=-1

plane onto the unit sphere centered at the origin

(0,0,0)

.

The function wrap2D unwraps the unit circle arc

-

π

2

,

π

2

centered at

(0,0)

onto the line segment

(0,π)

in the plane

y=-1

.

For the rose curves, the polar form

r=sin

nt

2

is used.

Erik Mahieu