Patent ID: 8818771

Claim:
A method of optimizing a shape of a product, comprising: a) providing a computer programmed to solve the following equation related to differential problems in a two dimensional domain whose boundary is described by a general k-type Gielis curve ⁢ ρ = R ⁡ ( ϑ ) = ∑ j = 0 k ⁢ r G ⁡ ( ϑ ; γ j ⁡ ( ϑ ) , m j , a j , b j , n 1 ⁢ j , n 2 ⁢ j , n 3 ⁢ j ) , ⁢ where ⁢  ⁢ r G ⁡ ( ϑ ; γ ⁡ ( ϑ ) , a , b , m , n 1 , n 2 , n 3 ) = γ ⁡ ( ϑ ) · [  1 a · cos ⁢ ⁢ m 4 ⁢ ϑ  n 2 +  1 b · sin ⁢ ⁢ m 4 ⁢ ϑ  n 3 ] - 1 / n 1 denotes an ordinary Gielis polar equation modulated by a smooth function γ(θ), wherein a, b, n 1 , n 2 , n 3 and m are finite real numbers, and n 1 , a and b≠0, b) storing a data set depicting an environment related to the product, c) using the computer to determine an optimal shape in relation to said data set with said equation, and d) constructing the product with an optimal shape based on said optimal shape determined in said step c).