| Origami Heaven A paperfolding
paradise
The website of
writer and paperfolding designer David Mitchell
x
|
| |
| Mathematical
Designs |
| |
| Miscellaneous
Mathematical Paperfolds |
| |
 |
|
Name: Generalised
method for Blintzing Rectangles. Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
509
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
 |
|
Name: Point
of Balance - a simple mathematical /
engineering problem set and solved by folding
paper. Paper type / shape: Square /
Irogami.
Designer /
Date: David Mitchell, 1999.
Reference:
189
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
|
|
Name: Perfect
Mappings Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
510
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444 // On-line diagrams are
available from the Education section of this
site.
|
|
| |
|
|
Name: Demonstrations
of the Pythagorean Theorem Paper type / shape:
Designer /
Date: David Mitchell, 2012
Reference:
511
Diagrams:
Diagrams not yet available.
|
|
| |
 |
|
Name: Silver
Fir - a semi-naive design. Paper type / shape:
Multiple squares of regularly diminishing size
all cut from a single silver rectangle.
Designer /
Date: David Mitchell, 2019
Reference:
567
Diagrams:
On-line diagrams are available on the Multiple Sheet
Designs page of this site.
|
|
| |
| Tiles and polygons |
| |
| Origami
tiles are flat shapes derived by folding paper that will
go together to form a tiling pattern. Origami polygons
are flat shapes derived by folding paper. Some origami
polygons will, of course, also act as tiles. |
| |
 |
|
Name: 1-Fold
Cairo Tiles Paper type / shape:
Various methods from squares, silver rectangles
and leftover rectangles / Either homogeneous
paper or irogami..
Designer /
Date: David Mitchell, 2000
Reference:
199
Diagrams:
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.
|
|
| |
|
|
Name: Patterned
Cairo Tiles - from squares. Paper type / shape:
Designer /
Date: David Mitchell, 2003
Reference:
199
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
|
|
Name: Cairo
Star Tiles - from leftover rectangles. Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
201
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
|
|
Name: Diamond
Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
516
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
|
|
Name: Elongated
Pentagon Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
514
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
 |
|
Name: Golden
Proportion Tiles - twin triangular tiles
with edges in the golden proportion. Paper type / shape:
Squares / Any kind of paper.
Designer /
Date: David Mitchell, 2000.
Reference:
205
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444 // On-line diagrams are
available from the Education section of this
site.
|
|
| |
|
|
Name: Half
Cairo Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
199
Diagrams:
Diagrams not yet available.
|
|
| |
|
|
Name: Half
Hexagon Tiles. Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
512
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
|
|
Name: Hexagon
Kite Tiles. Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
513
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
 |
|
Name: Hexagonal
Tessellating Tables - hexagonal tiles on
legs. Paper
type / shape: Silver rectangle or US letter size
paper / Any kind of paper.
Designer /
Date: David Mitchell, 2020. Based on an idea by
Paul Jackson.
Reference:
577
Diagrams:
On-line diagrams are available on the Education page of this site.
|
|
| |
|
|
Name: Irregular
Hexagon Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2016
Reference:
201
Diagrams:
Diagrams not yet available.
|
|
| |
|
|
Name: Irregular
Pentagon Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
515
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
|
|
Name: Octagon
from silver rectangle - method 1 Paper type / shape:
Silver rectangle / Any kind of paper.
Designer /
Date: David Mitchell, 2000.
Reference:
216
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444
|
|
| |
|
|
Name: Octagon
from silver rectangle - method 2 Paper type / shape:
Silver rectangle / Any kind of paper.
Designer /
Date: David Mitchell, 2000.
Reference:
216
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
 |
|
Name: Octagon
Isosceles Tiles - from squares and
leftover rectangles. Paper type / shape:
Designer /
Date: David Mitchell, 2000
Reference:
506
Diagrams:
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.
|
|
| |
 |
|
Name: Octagon
Kite Tiles - from squares Paper type / shape:
Designer /
Date: David Mitchell, 2010
Reference:
503
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
 |
|
Name: Octagon
Rhombus Tiles - from squares, leftover
rectangles and silver rectangles. Paper type / shape:
Designer /
Date: David Mitchell, 2010
Reference:
505
Diagrams:
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.
|
|
| |
 |
|
Name: Octagram
Kite Tiles - from silver rectangles and
leftover rectangles. Paper type / shape:
Designer /
Date: David Mitchell, 2010
Reference:
504
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
 |
|
Name: Pentagram
- versions from square and silver
rectangle. Paper type / shape:
Designer /
Date: David Mitchell, 1999
Reference:
186
Diagrams:
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.
|
|
| |
 |
|
Name: Pentagonal
Tiles Paper type / shape: Squartes / Any
kind of paper
Designer /
Date: David Mitchell, 2000
Reference:
218
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444 // On-line diagrams are
available from the Education section of this
site.
|
|
| |
 |
|
Name: Penrose
Tiles (kites and darts) Paper type / shape:
2x1 rectangles / Any kind of paper..
Designer /
Date: David Mitchell, 2000.
Reference:
217
Diagrams:
Exploring Mathematical Ideas with Origami - Water
Trade - ISBN 0953477444 // On-line diagrams are
available from the Education section of this
site.
|
|
| |
 |
|
Name: Tiles
for Pythagorean Spirals and Trees -
simple tiles from silver rectangles developed
from a design from squares by Francesco Mancini. Paper type / shape:
Silver rectangles / Homogeneous paper
Designer /
Date: David Mitchell,
Reference:
Diagrams:
Diagrams not yet available.
|
|
| |
|
|
Name: Quarter
Octagon Tiles Paper type / shape:
Designer /
Date: David Mitchell, 2010
Reference:
508
Diagrams:
Diagrams not yet available.
|
|
| |
 |
|
Name: Sphinx
Tiles Paper type / shape: Leftover
rectangles or similar / homogeneous paper.
Designer /
Date: David Mitchell, 2010.
Reference:
500
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
 |
|
Name: Squashed
Hexagon Tiles Paper type / shape:
Silver rectangles / Any kind of paper.
Designer /
Date: David Mitchell, 2000.
Reference:
221
Diagrams:
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.
|
|
| |
 |
|
Name: Trapezium
Tiles Paper type / shape: Any oblong / Any
kind of paper.
Designer /
Date: David Mitchell, 2000.
Reference:
502
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
 |
|
Name: The
Versatile - a square version of a tile
from a silver rectangle by Ian Harrison. Paper type / shape:
Designer /
Date: David Mitchell, 2010
Reference:
502
Diagrams:
On-line diagrams are available from the Education section of this
site.
|
|
| |
| Single
Sheet Polyhedra |
| |
 |
|
Name: Collapsible
Cube - square section cube that squashes
flat. Paper
type / shape: A4 (cut down to smaller custom
rectangle) / Homogeneous paper.
Designer /
Date: David Mitchell, 1993
Reference:
096
Diagrams:
On-line diagrams are available on the Single Sheet Designs page of this site.
|
|
| |
 |
|
Name: Pocket
Octahedron - square section tube which
collapses into an octahedron. Paper type / shape:
A4 or similar rectangle / Homogeneous paper.
Designer /
Date: David Mitchell, 2014.
Reference:
421
Diagrams:
On-line diagrams are available on the Single Sheet Designs page of this site.
|
|
| |
 |
|
Name: Pocket
Tetrahedron - a pure origami version of
the traditional pop-up tetrahedron from an
envelope. Paper type / shape: A4 or similar
rectangle / Homogeneous paper.
Designer /
Date: David Mitchell, 1994.
Reference:
113
Diagrams:
On-line diagrams are available on the Single Sheet Designs page of this site.
|
|
| |
 |
|
Name: Pocket
RhombicTetrahedron - rhombic version of
the Pocket Tetrahedron. Paper type / shape:
A4 (cut down to smaller custom rectangle) /
Homogeneous paper.
Designer /
Date: David Mitchell, 1994.
Reference:
113
Diagrams:
On-line diagrams are available on the Single Sheet Designs page of this site.
|
|
| |
|
|
Name: Pocket
Rhombic Octahedron - rhombic version of
the Pocket Octahedron. Paper type / shape:
A4 (cut down to smaller custom rectangle) /
Homogeneous paper.
Designer /
Date: David Mitchell, 2016
Reference:
421
Diagrams:
Diagrams not yet available.
|
|
| |
 |
|
Name: Rhombic
Pyramid - single sheet design from
silver rectangle (based on an idea by David
Brill). Paper type / shape: A4 / Homogeneous
paper.
Designer /
Date: David Mitchell 1997. Based on an idea by
David Brill.
Reference:
147
Diagrams:
Mathematical Origami - Tarquin Publications -
ISBN 1-899618-18-X // In Portuguese - Origami
matematicos - Republicao - ISBN 972-570-257-3
|
|
| |
| |