3D Legendre Lissajous Figures

x order

3

y order

5

z order

7

length

tube thickness

show box

high quality

Draw the curve with coordinates

(

P

k

(t),

P

m

(t),

P

n

(t))

, where

P

k

(t)

is the

kth

Legendre polynomial, and

t

ranges from -1 to +1.

External Links

Legendre Polynomial (Wolfram MathWorld)

Permanent Citation

Michael Trott, Stephen Wolfram

"3D Legendre Lissajous Figures"
http://demonstrations.wolfram.com/3DLegendreLissajousFigures/
Wolfram Demonstrations Project
Published: September 28, 2007