Blooms from the Campanus Sphere

n

3

4

5

6

7

8

9

10

m

3

4

5

6

7

8

9

10

PlotPoints factor

1

2

3

4

5

6

7

8

show Campanus sphere

bloom/in pot

This Demonstration shows flower-like plots (in a flowerpot) produced from the Campanus sphere with

n-1

parallels and

m-1

meridians. The color function for the pot with spherical angle

θ<π/2

is the absolute value of

n

3

2n



j=1

exp2πi

v

j

·(x,y,z)

, where

n

is the number of vertices of the chosen polyhedron and

v

j

are the coordinates of vertex

j

.