TeX - LaTeX Stack Exchange is a question and answer site for users of TeX, LaTeX, ConTeXt, and related typesetting systems. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I wonder whether it is possible to draw the "logo" of string theory with LaTeX. I think it is doable, but not sure how to do it. Any guru wants to give it a shot?

3-D projection of a Calbi-Yau manifold

Source: https://commons.wikimedia.org/wiki/File:Calabi-Yau-alternate.png and (in better quality) https://commons.wikimedia.org/wiki/File:Calabi-Yau.png (both own work by Lunch; CC BY-SA 2.5)

share|improve this question
In TeX?!! I don't believe it is possible. – Sigur Nov 9 '13 at 14:59
As long as you can provide us with its function to plot, PSTricks can happily do it, IMHO. – kiss my armpit Nov 9 '13 at 15:21
@Marienplatz, here is it: en.wikipedia.org/wiki/Calabi%E2%80%93Yau_manifold – Sigur Nov 9 '13 at 16:34
The problem is on the borders of TeX & Co., but it is interesting, so let our PSTricks ot TikZ/PGF specialists find a solution. I am voting for reopening. – Przemysław Scherwentke Nov 9 '13 at 18:29
I would second @Marienplatz : if you manage to provide a "suitable" description of the involved surface(s) along with the color information, we can think about it. "Suitable" means either a parameterized surface x(u,v), y(u,v), z(y,v) with color data C or a huge data table X Y Z C where C can be RGB or scalar color values. But a task like "do research on string theory to understand suitable representations of the object given as rendition" is unrelated to tex.sx . Unfortunately, the mentioned wikipedia link does not appear to answer that question. – Christian Feuersänger Nov 10 '13 at 11:55
up vote 19 down vote accepted

I searched a bit on the net and found a parametrization for cross-sections of the quintic 6D Calabi-Yau, so here's the Asympote implementation:



import graph3;


int k1, k2, n = 5;
real alpha = 0.3*pi;

// cross section of the quintic 6D Calabi-Yau manifold
triple cy(pair z) {  

  pair z1, z2;

  if(z==(0,0)) {
    z1 = exp(2*pi*I*k1/n);
    z2 = 0;
  } else {
    z1 = exp(2*pi*I*k1/n)*exp(log(cos(I*z))*2/n);
    z2 = exp(2*pi*I*k2/n)*exp(log(-I*sin(I*z))*2/n);

  return (z2.x, cos(alpha)*z1.y + sin(alpha)*z2.y, z1.x);


for(k1=0; k1<n; ++k1) {
  for(k2=0; k2<n; ++k2) {
    surface s = surface(cy,(-1,0),(1,0.5*pi),20,20);



enter image description here

Don't know which one is shown in your "logo", but that's at least a Calabi-Yau manifold. If you view the resulting PDF with acroread, you can rotate the beast.

share|improve this answer
This is better than the original! You can also use the opacity option draw(s,red+opacity(0.6)); and modify currentlight to give part of the red/blue appearance. – alfC Feb 1 '14 at 3:56

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.