Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

 

 
Mathematical Paperfolds including Origami Tiles
 
BOM means British Origami magazine
 
  Generalised method for Blintzing Rectangles.   509   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Cairo Tiles - various methods from squares, silver rectangles and leftover rectangles.   199   2000   From leftover rectangles - (1) Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // (2) BOM295 December 2015 p18 // From squares and silver rectangles - Infinity 2005/2 - Tarquin publications ISSN 1748-3220 // Sticky note version from squares in Sticky Note Origami - David Mitchell - Collins and Brown - ISBN 1-84340-227-0 // Unattributed in Learning Mathematics with Origami - Tung Ken Lam and Sue Pope - 2016 - Association of Teachers of Mathematics - ISBN 9781898611950 // On-line diagrams for designs from squares, silver rectangles and leftover rectangles are available from the Education section of this site.
 
  Cairo Star Tiles - from leftover rectangles.   201   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Diamond Tiles   516   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Elongated Pentagon Tiles   514   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Golden Proportion Tiles - from squares.   205   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Half Cairo Tiles   199   2000   Diagrams not yet available.
 
  Half Hexagon Tiles.   512   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Hexagonal Tessellating Tables - hexagonal tiles on legs.   577   2020   On-line diagrams are available on the Education page of this site.
 
  Hexagon Kite Tiles.   513   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Irregular Hexagon Tiles   201   2016   Diagrams not yet available.
 
  Irregular Pentagon Tiles   515   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Octagon Isosceles Tiles - from squares and leftover rectangles.   5069   2000   From leftover rectangles in Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Octagon Kite Tiles - from squares and silver rectangles.   503   2010   On-line diagrams are available from the Education section of this site.
 
  Octagon Rhombus Tiles - from squares, leftover rectangles and silver rectangles.   505   2010   From leftover rectangles as Diamond Tiles in Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Octagon from silver rectangle - method 1   216   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Octagon from silver rectangle - method 2   216   2000   On-line diagrams are available on the Folding Octagons page in the Education section of this site.
 
  Octagram Kite Tiles - from silver rectangles and leftover rectangles.   504   2010   On-line diagrams are available from the Education section of this site.
 
  Patterned Cairo Tiles - from squares.   199   2003   On-line diagrams are available from the Education section of this site.
 
  Penrose Tiles (kites and darts) - from 2x1 rectangles.   217   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Pentagonal Tiles - from squares.   218   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Pentagram - versions from square and silver rectangle.   186   1999   Version from square in Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Perfect Mappings   510   2000   Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444
 
  Point of Balance - mathematical paperfold. Simple mathematical / engineering problem set and solved by folding paper.   189   1999   On-line diagrams are available from the Education section of this site.
 
  Pythagorean Spirals and Trees - simple tiles from silver rectangles developed from work by Francesco Mancini.   380   2015   Diagrams not yet available.
 
  Demonstrations of the Pythagorean Theorem   511   2012   Diagrams not yet available.
 
  Quarter Octagon Tiles   508   2010   Diagrams not yet available.
 
  Sphinx Tiles   500   2010   On-line diagrams are available from the Education section of this site.
 
  Squashed Hexagon Tiles - from silver rectangles and squares.   221   2000   As Stretched Hexagon Tiles in Exploring Mathematical Ideas with Origami - Water Trade - ISBN 0953477444 // On-line diagrams are available from the Education section of this site.
 
  Trapezium Tiles   502   2010   On-line diagrams are available from the Education section of this site.
 
  The Versatile - from a square - version of a tile from a silver rectangle by Ian Harrison.   502   2010   On-line diagrams are available from the Education section of this site.