Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

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Modulars in Motion
 
Active play modular designs ie modular designs that change shape when played with.
 
 
 
  Name: 2-part Decoration

Modules / Paper shape / Folding geometry: 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1989. Also independently discovered by Tung Ken Lam who realised it would squash flat in two directions, thus turning a rather ordinary paperfold into a charming toy. On seeing this I realised that the Skillman Ball will also squash flat, something I had previously not been aware of.

Reference: 038

Diagrams: Not yet available.

 
  Name: Ad Infinitum - an endlessly revolving toy

Modules / Paper shape / Folding geometry: 4 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1995.

Reference: 118

Diagrams: BOM 175 December 1995 // Learning Mathematics with Origami - Tung Ken Lam and Sue Pope - 2016 - Association of Teachers of Mathematics - ISBN 9781898611950 // On-line diagrams are available on the Modular Designs page of this site.

 
  Name: Back to Front - a simple action toy in which rotating the elements in relation to each other brings each to the front in turn.

Modules / Paper shape / Folding geometry: 3 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 2004.

Reference: 259

Diagrams: Not yet available.

 
  Name: Bouncy Bricks - part of the Pyramid of Leaves project.

Modules / Paper shape / Folding geometry: 2 modules plus strengthener for each brick from silver rectangles using standard folding geometry.

Designer / Date: David Mitchell, 2001.

Reference: 501

Diagrams: Not yet available.

 
  Name: Colour-Change Collapsible Cube - begins as a square section tube which can be twisted and collapsed to create an odd-looking cube. The cube will squash flat sideways and can be manipulated in the palm of the hand to cycle through all four coloured faces in turn.

Modules / Paper shape / Folding geometry: 4 modules from silver rectangles.

Designer / Date: David Mitchell, 1993.

Reference: 096

Diagrams: CDO Convention Pack November 2004 // Infinity 2005/1 - Tarquin Publications // Sticky note version in Sticky Note Origami - David Mitchell - Collins and Brown - ISBN 1-84340-227-0 // On-line diagrams are available on the Modular Designs page of this site.

 
  Name: Elite Flexicube

Modules / Paper shape / Folding geometry: 24 modules from silver rectangles using silver rectangle folding geometry.

Designer / Date: David Mitchell, 1992.

Reference: 087

Diagrams: Not yet available.

 
  Name: Modular 2-Way Tube - a modular version of Robert Neale's 2-Way Tube (which can be made (in several ways) from a single sheet of paper or light card).

Modules / Paper shape / Folding geometry: 2 modules from any rectangle using standard folding geometry.

Designer / Date: David Mitchell, 1997.

Reference: 151

Diagrams: BOM 184 June 1997 // As the Magic Tube in Office Origami - Adam Russ - Universe Publishing - ISBN 0-7893-1313-8 // Learning Mathematics with Origami - Tung Ken Lam and Sue Pope - 2016 - Association of Teachers of Mathematics - ISBN 9781898611950 // On-line diagrams are available on the Devious Devices page of this site.

 
  Name: The Modular Flip Flop is my reconstruction of a design by the Danish paperfolder Thoki Yenn which has become lost (probably because Thoki abandoned it in favour of his one piece version of the same design). The design is a version of a well known mathematical toy with the strange property that it will squash flat in two different directions.

Modules / Paper shape / Folding geometry: 2 modules folded from double bronze rectangles using 60/30 degree folding geometry.

Designer / Date: David Mitchell, 1989.

Reference: 046

Diagrams: Not yet available.

 
  Name: Mothership - design made using Paulo Mulatinho's UFO as a macro-module - from squares.

Modules / Paper shape / Folding geometry: Each UFO is made from 2 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 2001.

Reference: 265

Diagrams: In Building with Butterflies - David Mitchell - Water Trade - ISBN 978-0-9534774-7-0.

 
  Name: Rotating Ring of Six Tetrahedra

Modules / Paper shape / Folding geometry: 6 modules from 2x1 rectangles using root 5 folding geometry.

Designer / Date: David Mitchell, 1996.

Reference: 130

Diagrams: Not yet available.

 
  Name: Rotating Ring of 8 Rhombic Tetrahedra

Modules / Paper shape / Folding geometry: 4 or 8 modules from silver rectangles.

Designer / Date: David Mitchell, 1995.

Reference: 130

Diagrams: Mathematical Origami - Tarquin Publications - ISBN 1-899618-18-X // In Portuguese - Origami matematicos - Republicao - ISBN 972-570-257-3 // Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
  Name: Rotating Ring of 12 Platonic Tetrahedra

Modules / Paper shape / Folding geometry: 12 or 24 modules using 60/30 folding geometry..

Designer / Date: David Mitchell, 1996.

Reference: 130

Diagrams: Diagrams not yet available.

 
  Name: Rotating Toy - modules require glueing together.

Modules / Paper shape / Folding geometry: 4 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 1992.

Reference: 092

Diagrams: Diagrams not yet available.

 
  Name: Pop-up Hexahedra - made from Sonobe, Corner-pocket Sonobe, Sonobe triangle or Letterbox modules can be collapsed flat then popped back into shape.

Modules / Paper shape / Folding geometry:

Designer / Date: Larry Hart published a single-sheet design for a Snap Hexahedron in the late 1980s. In hindsight it seems obvious that the same principle could be applied to a modular hexahedron but I am not aware of knowing about this before I came across the idea while playing with pop-up silveroctahedra in 2015.

Reference:

Diagrams: Not yet available.

 
  Name: Pop-up Silveroctahedra

Modules / Paper shape / Folding geometry: 2 sets of 2 mirror-image modules from squares using standard folding geometry. Can be made from many different parallelogram and triangle modules.

Designer / Date: David Mitchell, 1989 and 2015.

Reference:

Diagrams: On-line diagrams are available on the Devious Devices page of this site.

 
  Name: Rolling Ring of 8 Rhombic Tetrahedra

Modules / Paper shape / Folding geometry: 4 modules from silver rectangles.

Designer / Date: David Mitchell, 1995.

Reference: 130

Diagrams: In Mathematical Origami (2nd Edition) - David Mitchell - Tarquin publications - ISBN 9781911093169

 
  Name: Squashy Star is a star that is capable of being squashed flat in all three directions.

Modules / Paper shape / Folding geometry: modules fron squares using standard folding geometry.

Designer / Date: David Mitchell, 2011.

Reference: 338

Diagrams: Not yet available.

 
  Name: The Tube Cube - cube made from six linked tubes which will squash flat.

Modules / Paper shape / Folding geometry: 6 modules from squares using standard folding geometry.

Designer / Date: David Mitchell, 2014.

Reference: 371

Diagrams: Not yet available.

 
  Name: Twin Deltahedral Dodecahedra - convertible design.

Modules / Paper shape / Folding geometry: 6 modules from silver rectangles.

Designer / Date: David Mitchell, 2017.

Reference: 544

Diagrams: Not yet available.