dotSCAD/docs/lib3x-shape_superformula.md

shape_superformula

Returns shape points of a Superformula shape. They can be used with xxx_extrude modules of dotSCAD. The shape points can be also used with the built-in polygon module.

Parameters

• phi_step : The phi step of Superformula.
• m1, m2, n1, n2, n3, a, b : The parameters of Superformula. The default value of n2, n3, a, and b is 1.

Examples

use <shape_superformula.scad>   
    
phi_step = 0.05;

polygon(shape_superformula(phi_step, 3, 3, 4.5, 10, 10));

translate([3, 0]) 
    polygon(shape_superformula(phi_step, 4, 4, 12, 15, 15));

translate([6, 0]) 
    polygon(shape_superformula(phi_step, 7, 7, 10, 6, 6));

translate([9, 0]) 
    polygon(shape_superformula(phi_step, 5, 5, 4, 4, 4));
    
translate([0, -4]) 
scale(0.8) 
    polygon(shape_superformula(phi_step, 5, 5, 2, 7, 7));

translate([3, -4]) 
scale(0.25) 
    polygon(shape_superformula(phi_step, 5, 5, 2, 13, 13));

translate([6, -4]) 
    polygon(shape_superformula(phi_step, 4, 4, 1, 1, 1));

translate([9, -4]) 
scale(0.3) 
    polygon(shape_superformula(phi_step, 4, 4, 1, 7, 8));

use <shape_superformula.scad> 
use <golden_spiral_extrude.scad>  
    
phi_step = 0.05;

m = 16;
n = 0.5;
n3 = 16;

shape_pts = shape_superformula(phi_step, m, m, n, n, n3);

golden_spiral_extrude(
    shape_pts, 
    from = 5, 
    to = 10, 
    point_distance = 2,
    scale = 10
);