| Origami Heaven A paperfolding
paradise
The website of
writer and paperfolding designer David Mitchell
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| Transformation Puzzles |
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| 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. |
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Name: 1, 2,
3, 4 - transformation puzzle. Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 2000.
Reference:
419
Diagrams:
On-line diagrams are available on the Puzzles page of this site.
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Name: 5 in a
Row - transformation puzzle.. Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 2017.
Reference:
550
Diagrams:
On-line diagrams are available on the Puzzles page of this site.
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Name: Alternative
Flexatube - Flexatube with 60/30 degree
folding geometry. Paper type / shape: Custom.
Designer /
Date: David Mitchell, 2004.
Reference:
422
Diagrams:
Not yet available.
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Name: Borromean
Buckle Puzzle Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 1999.
Reference:
172
Diagrams:
Diagrams not yet available.
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Name: Borromean
Figures of Eight Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 1999.
Reference:
172
Diagrams:
Diagrams not yet available.
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Name: Buckle
Puzzle Paper type / shape: Custom.
Designer /
Date: David Mitchell, 1999.
Reference:
173
Diagrams:
Diagrams not yet available.
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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.
Reference:
Diagrams:
Paperfolding Puzzles - Water Trade - ISBN
0-9534774-0-X // Paperfolding Puzzles (2nd
Edition) - David Mitchell - Water Trade - ISBN
978-0-9534774-5-6
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Name: Double
Cross Flexagon - puzzle treatment of the
3-state bi-linear tetraflexagon. Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 1998.
Reference:
156
Diagrams:
The Magic of Flexagons - David Mitchell - Tarquin
- ISBN 1-899618-28-7
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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.
Reference:
318
Diagrams:
On-line diagrams are available on the Puzzles page of this site.
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Name: Flexatube
Solutions - multiple solutions for the
classic puzzle. Paper type / shape: N/A
Designer /
Date: David Mitchell, 1998
Reference:
417
Diagrams:
Paperfolding Puzzles - Water Trade - ISBN
0-9534774-0-X (omitted from second edition) //
Silverflexagons and the Flexatube - David
Mitchell - Water Trade - ISBN 9780953477487
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Name: Flexatube
Chain Puzzles Paper type / shape:
Custom
Designer /
Date: David Mitchell, 2004.
Reference:
418
Diagrams:
Silverflexagons and the Flexatube - David
Mitchell - Water Trade - ISBN 9780953477487
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Name: Flexatube
Stack Puzzles Paper type / shape:
Custom
Designer /
Date: David Mitchell, 2004.
Reference:
418
Diagrams:
Silverflexagons and the Flexatube - David
Mitchell - Water Trade - ISBN 9780953477487
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Name: The
Flexamat Puzzle - four
Flexatubes connected in a flat ring. Paper type / shape:
Custom
Designer /
Date: David Mitchell, 2015.
Reference:
418
Diagrams:
Silverflexagons and the Flexatube - David
Mitchell - Water Trade - ISBN 9780953477487
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Name: Hidden
Aces Flexagon - puzzle treatment of a
flexagon probably first discovered by Robert E
Neale. Paper type / shape: Custom.
Designer /
Date: David Mitchell, 1998.
Reference:
Diagrams:
The Magic of Flexagons - David Mitchell - Tarquin
- ISBN 1-899618-28-7
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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.
Reference:
124
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.
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Name: Night
and Day - apparatus puzzle based on the
Woven Flexatube flexagon 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.
Reference:
548
Diagrams:
On-line diagrams are available on the Puzzles page of this site.
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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.
Reference:
124
Diagrams:
On-line diagrams are available on the Puzzles page of this site.
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Name: Reverse
It - apparatus puzzle based on Flexatube
but starting from the Oxford Circus position in
which the object is to reverse a black cross into
a white cross and to find three other black
patterns which can also be reversed. Paper type / shape:
Custom
Designer /
Date: David Mitchell, 2021.
Reference:
581
Diagrams:
Not yet available.
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Name: Sheep
and Goats Revisited - apparatus puzzle
based on Flexatube but starting from the Oxford
Circus position in which the object is to
separate the Sheep and Goats. Paper type / shape:
Custom
Designer /
Date: David Mitchell, 2021. Based on Robert E
Neale's Sheep and Goats puzzle.
Reference:
581
Diagrams:
Not yet available.
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Name: Simple
Black Hole (3x2) - flexagon that opens
up to a square ring. Paper type / shape:
Custom.
Designer /
Date: David Mitchell, 1999.
Reference:
Diagrams:
Online diagrams are available in the pdf
Flexagons and Flexigation on the Flexagons page of this site.
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Name: The
Trapdoor Buckle Paper type / shape:
Custom
Designer /
Date: David Mitchell, 1999.
Reference:
173
Diagrams:
Diagrams not yet available.
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Name: T-Time
- apparatus puzzle - version of the
Modular Two Way Tube. Paper type / shape:
2 x squares / Irogami
Designer /
Date: David Mitchell, 1997.
Reference:151
Diagrams:
Paperfolding Puzzles - Water Trade - ISBN
0-9534774-0-X // On-line diagrams are available
on the Puzzles page of this site.
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Name: Windmill
Flexagon - lateral thinking /
manipulation puzzle based on a non-twisted
flexagon from a square. The solution can only be
found by holding the puzzle up to the light. Paper type / shape:
Square
Designer /
Date: David Mitchell, 1996.
Reference:
134
Diagrams:
Origami - Barnes and Noble - ISBN 0-7607-3331-7
// BOM 217 - December 2002 - Solution BOM 218 //
Paperfolding Puzzles (2nd Edition) - David
Mitchell - Water Trade - ISBN 978-0-9534774-5-6
// On-line diagrams are available on the Puzzles page of this site.
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Name: Window
on the World - treatment of the
Flexatube puzzle. Paper type / shape: Custom
Designer /
Date: David Mitchell, 2021.
Reference:
581
Diagrams:
Not yet available.
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