Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Mathematical Paperfolds
 
This page presents a selection of single sheet mathematical paperfolds. Polyhedral models made from multiple sheets using the modular technique can be found in the Modular Origami Design Encyclopaedia section of this site.
 
 
 
  Name: Point of Balance - simple mathematical / engineering problem set and solved by folding paper.

Paper shape / Folding geometry: From a square using standard folding geometry.

Designer / Date: David Mitchell, 1999.

Diagrams: On-line diagrams are available from the Mathematical section of this site.

 
  Name: Pocket Octahedron - square section tube which collapses to an octahedron.

Paper shape / Folding geometry: From silver rectangle, US letter or similar rectangle using 120/60 folding geometry.

Designer / Date: David Mitchell, 2004.

Diagrams: On-line diagrams are available from the Mathematical section of this site.

 
  Name: Pocket Tetrahedron - a pure origami version of the traditional pop-up tetrahedron from an envelope.

Paper shape / Folding geometry: From silver rectangle, US letter or similar rectangle using 120/60 folding geometry.

Designer / Date: David Mitchell, 1994.

Diagrams: On-line diagrams are available from the Mathematical section of this site.

 
  Name: Pocket Rhombic Tetrahedron - rhombic tetrahedron version of the Pocket Tetrahedron.

Paper shape / Folding geometry: From silver rectangle using 109.28/70.32 folding geometry.

Designer / Date: David Mitchell, 1994.

Diagrams: On-line diagrams are available from the Mathematical section of this site.