pxfang / penrose

a language-based platform for creating beautiful mathematical diagrams

Penrose

• See the site for more information and examples.
• See the wiki for more system-specific information on building, running, testing, and debugging the system.
• For even more documentation, see Nimo Ni's README.

Our system is not ready for contributions or public use yet, but hopefully will be soon. Send us an email if you're interested in collaborating.

Example

Here a Penrose visualization in the domain of set theory.

It's specified by the following Substance and Style programs.

• tree.sub

  Set A
  Set B
  Set C
  Set D
  Set E
  Set F
  Set G
  Subset B A
  Subset C A 
  Subset D B
  Subset E B
  Subset F C
  Subset G C
  NoIntersect E D
  NoIntersect F G
  NoIntersect B C
  

• venn.sty

  Set x {
      shape = Circle { }
      constraint contains(x, x.label)
  }
  
  Intersect x y {
      constraint overlapping(x, y)
      constraint outsideOf(y.label, x)
      constraint outsideOf(x.label, y)
  }
  
  NoIntersect x y {
      constraint nonOverlapping(x, y)
  }
  
  Subset x y {
      constraint contains(y, x)
      constraint smallerThan(x, y)
      constraint outsideOf(y.label, x)
  }
  
  NoSubset x y {
      objective repel(x, y)
      constraint outsideOf(x, y)
      constraint outsideOf(y.label, x)
      constraint outsideOf(x.label, y)
      constraint nonOverlapping(x, y)
  }
  

Here's how the optimization looks live in the UI.