Spiral Cut Pumpkin

on 29 Oct 2022

% A pumpkin made from a spiral ribbon

%n=300;% Resolution of the sphere

%S=10;% Number of spirals

w=.07;% (1/S)*t; % Thickness of the ribbon as a factor of other vars

% Theta goes around S times, with n verts per round.

%T=linspace(0,20,3000);% (0,S*2,n*S)

T=0:.006:20;

T=[T;T];% top and bottom of ribbon

% Phi slowly goes from -.5 to .5 (top+bottom of sphere) with same # verts

% as theta.

%P=linspace(-.5+w,.5,3000);

P=-.5:.0003:.5;

P=[P;P-w];% top and bottom of ribbon, thickness of w.

% Radius of punkin has bumps. R modulates # of bumps.

%nb=10;% Number of bumps around the sphere.

R=1-(1-mod(T*12,2)).^2/20;

% Make the surface coordinates

c=@cospi;

s=@sinpi;

X=c(P).*c(T);

Y=c(P).*s(T);

Z=(.8+(0-(P*2).^4)*.2).*s(P);

% Draw

surf(R.*X,R.*Y,R.*Z,FaceC='#f71',EdgeC='n');

surface(X/12,Y/12,Z/2+.7,FaceC='#080',EdgeC='n')

light

material([.6

.5])

axis equal off

camva(6)