Flower Petals Using Parametric Equations

angle α

137.5

petals P

5

This Demonstration shows a curve with the shape of a petalled flower given by

r=sin(πδ)

and

θ=αT+

π-α

2

cos(πδ)

for

0≤t≤P

, where

T

is the integer part of

t

and

δ

is the fractional part of

t

. The parameters

α

and

P

represent the divergence angle between consecutive petals and the number of petals, respectively.

Takuya Okabe