Plotting Code
The following GNU Octave code generates plots of a supertorus:
function supertoroid(epsilon,a) n=50; d=.1; etamax=pi; etamin=-pi; wmax=pi; wmin=-pi; deta=(etamax-etamin)/n; dw=(wmax-wmin)/n; k=0; l=0; for i=1:n+1 eta(i)=etamin+(i-1)*deta; for j=1:n+1 w(j)=wmin+(j-1)*dw; x(i,j)=a(1)*(a(4)+sign(cos(eta(i)))*abs(cos(eta(i)))^epsilon(1))*sign(cos(w(j)))*abs(cos(w(j)))^epsilon(2); y(i,j)=a(2)*(a(4)+sign(cos(eta(i)))*abs(cos(eta(i)))^epsilon(1))*sign(sin(w(j)))*abs(sin(w(j)))^epsilon(2); z(i,j)=a(3)*sign(sin(eta(i)))*abs(sin(eta(i)))^epsilon(1); endfor; endfor; mesh(x,y,z); endfunction;Read more about this topic: Supertoroid
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