Investigate math related to Origami

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• A New Formalization of Origami in Geometric Algebra
• Origami Code - planar graph library for representing crease patterns and performing origami operations
  • doc
  • code
• A Mathematica module for Conformal Geometric Algebra and Origami Folding
  • code
  • paper
• Origami Fold as Algebraic Graph Rewriting
• O2, O5, and O6 are the only essential axioms
  • paper
• The eighth axiom by exhaustive analysis of all possible incidences
  • paper
• Origami Folds in Higher-dimension
• Origami and Geometric Constructions
  • article
  • paper
• Euclides vs. Origami
• Computational origami system eos. In Proc
• Huzita–Hatori axioms
• The power of origami
  • Axioms of Origami
• Origami on Wolfram Mathworld

Other resources:

• Proving and Solving in Computational Origami

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It turns out Geometric Algebra: a tutorial for graphics programmers and Ganja starterkit : PGA3D P(R*3,0,1) are much more helpful to understand Origami with Geometric Algebra.