Figure 3

Spatial distribution of the Fourier-like series expansion ${\mathit{v}}_{\mathit{N}}\mathbf{(}\mathit{x}\mathbf{,}\mathit{y}\mathbf{)}$ of order $\mathit{N}\mathbf{=}\mathbf{22}$ representing the solution of the Dirichlet problem for the Laplace equation in the supershaped annulus $\mathcal{A}$ described by the Gielis formula with parameters ${\mathit{k}}_{\mathit{x}}^{\mathbf{\pm }}\mathbf{=}{\mathit{k}}_{\mathit{y}}^{\mathbf{\pm }}\mathbf{=}\mathbf{3}$ , ${\mathit{d}}_{\mathit{x}}^{\mathbf{-}}\mathbf{=}{\mathit{d}}_{\mathit{y}}^{\mathbf{-}}\mathbf{=}\mathbf{3}\mathbf{/}\mathbf{4}$ , ${\mathit{d}}_{\mathit{x}}^{\mathbf{+}}\mathbf{=}{\mathit{d}}_{\mathit{y}}^{\mathbf{+}}\mathbf{=}\mathbf{5}\mathbf{/}\mathbf{2}$ , ${\mathit{\nu }}_{\mathit{x}}^{\mathbf{\pm }}\mathbf{=}{\mathit{\nu }}_{\mathit{y}}^{\mathbf{\pm }}\mathbf{=}\mathbf{12}$ , ${\mathit{\nu }}_{\mathbf{0}}^{\mathbf{\pm }}\mathbf{=}\mathbf{21}$ .