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The Umbilic Torus
on 26 Oct 2022
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U=-pi:.05:pi;
V=U;
[u,v]=meshgrid(U,V);
c=@(x)cos(x);
s=@(x)sin(x);
w=u/3-2*v;
v=u/3+v;
x=s(u).*(7-c(w)+2*c(v));
y=c(u).*(7+c(w)+2*c(v));
z=s(w) + s(v);
f='filled';
scatter3(x(:),y(:),z(:),8,z(:),f);
axis equal off;
set(gcf,'Color','k');
set(gca,'Clipping','off');
colormap(turbo);
view(25,90);
zoom(1.33);