Origami Heaven

A paperfolding paradise

The website of writer and paperfolding designer David Mitchell

x

 
Transformation Puzzles
 
The object of transformation puzzles is to manipulate one state of a puzzle into another. There is a sense in which every paperfolding puzzle is a transformation puzzle, but I usually reserve the term for apparatus puzzles where the possibility for such a transformation seems unlikely. Transformation puzzles can also be set up so that the aim is to find a route that avoids one particular intermediate state.
 
 
 
  Name: 1, 2, 3, 4 - transformation puzzle.

Paper type / shape: Custom.

Designer / Date: David Mitchell, 2000

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

 
  Name: 5 in a Row - transformation puzzle..

Paper type / shape: Custom.

Designer / Date: David Mitchell, 2017

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

 
  Name: Borromean Buckle Puzzle

Paper type / shape: Custom.

Designer / Date: David Mitchell, 1999

Diagrams: Diagrams not yet available.

 
  Name: Borromean Figures of Eight

Paper type / shape: Custom.

Designer / Date: David Mitchell, 1999

Diagrams: Diagrams not yet available.

 
  Name: Buckle Puzzle

Paper type / shape: Custom.

Designer / Date: David Mitchell, 1999

Diagrams: Diagrams not yet available.

 
  Name: Centre-piece - transformation puzzle in which the object is to exchange the positions of two linked sheets of paper.

Paper type / shape: 2 x squares / Irogami or duo

Designer / Date: David Mitchell, 1998

Diagrams: Paperfolding Puzzles - Water Trade - ISBN 0-9534774-0-X // Paperfolding Puzzles (2nd Edition) - David Mitchell - Water Trade - ISBN 978-0-9534774-5-6

 
  Name: End to End - a transformation puzzle where the mat on the right must be converted to the mat on the left.

Paper type / shape: Custom.

Designer / Date: David Mitchell, 2007

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

 
  Name: Flexatube Chain Puzzles

Paper type / shape: Custom

Designer / Date: David Mitchell, 2004

Diagrams: Silverflexagons and the Flexatube - David Mitchell - Water Trade - ISBN 9780953477487

 
  Name: Flexatube Stack Puzzles

Paper type / shape: Custom

Designer / Date: David Mitchell, 2004

Diagrams: Silverflexagons and the Flexatube - David Mitchell - Water Trade - ISBN 9780953477487

 
  Name: The Flexamat Puzzle - four Flexatubes connected in a flat ring.

Paper type / shape: Custom

Designer / Date: David Mitchell, 2015

Diagrams: Silverflexagons and the Flexatube - David Mitchell - Water Trade - ISBN 9780953477487

 
  Name: Limbo - a flexagon-like apparatus puzzle that can be manipulated into a large hexagonal ring.

Paper type / shape: Custom

Designer / Date: David Mitchell, 1996

Diagrams: As Magic Square Flexagon in The Magic of Flexagons - David Mitchell - Tarquin - ISBN 1-899618-28-7 // On-line diagrams are available on the Puzzles page of this site.

 
  Name: Night and Day - apparatus puzzle based on the Woven Flexatube in which a completely dark shaded tube - Night - is turned inside out to a completely white tube - Day.

Paper type / shape: Custom

Designer / Date: David Mitchell, 2001

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

 
  Name: Purgatory - a flexagon-like apparatus puzzle from 2 squares. There is a hidden hole in the mat through which a surprisingly large object will pass.

Paper type / shape: 4 x squares / Homogeneous paper.

Designer / Date: David Mitchell, 1996

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

 
  Name: Trapdoor Buckle

Paper type / shape: Custom

Designer / Date: David Mitchell, 1999

Diagrams: Diagrams not yet available.