origami

On pages 222 and 223 of his Origami Omnibus Kunihiko Kasahara explains the proportions of various polygons. These are used on the subsequent pages to create various polyhedra.

Thanks to Dennis Walker you can now calculate the papersizes for these polyhedra very easily.
On his own website, Dennis has an Excel file that does these same calculations.

Enter the size of the paper for the largest polygon in the field below, the sizes will be calculated automatically. When you start entering the calculations will be displayed.

The units of the sizes are equal to the number you enter, i.e. if you enter the size in inches, the calculated sizes are also in inches.

Have fun!

Paper Size

	*	A	B	C	D	E
	Triangle	Square	Pentagon	Hexagon	Octagon	Decagon
Decagon
Octagon
Hexagon
Pentagon
Square
Triangle
Tab
Zabuton

The * and the letters refer to the largest polygon. The list below shows which polyhedra, described in the following pages, can be built from the series.

• * - Tetrahedron, Octahedron, Icosahedron.
• A - Hexahedron (Cube), Cuboctahedron, Rhombicuboctahedron, Snub Cube
• B - Dodecahedron, Icosidodecahedron, Rhombicosidodecahedron, Snub Dodecahedron
• C - Truncated Tetrahedron, Truncated Octahedron, Truncated Icosahedron (Soccer Ball)
• D - Truncated Hexahedron, Rhombitruncated Cuboctahedron
• E - Truncated Dodecahedron, Rhombitruncated icosidodecahedron

Thanks to Dennis Walker you can now calculate a number of common paper sizes very easily.
On his own website, Dennis has an Excel file that does these same calculations.

Enter the size in the field below, the possible sizes will be calculated automatically. When you start entering the calculations will be displayed.

Have fun!

Paper Size

Name	Length	Width	or	Length	Width	opmerkingen
Golden Ratio			or			Used in many polygon designs
Silver Ratio			or			Also called 'A' size paper
Height Equilateral Triangle			or			The height of an equilateral triangle
60 degrees			or			60 degree diagonal intersection
72 degrees			or			72 degree diagonal intersection (also called 'Platinum' rectangle)

Sometimes you need a strange proportion, and you don't have the correct paper. Thanks to Dennis Walker you can now calculate a more convenient proportion.
On his own website, Dennis has an Excel file that does these same calculations.

Enter the size of the width and height in the fields below, give an acceptable error as percentage and press "calculate".

The units of the sizes are equal to the number you enter, i.e. if you enter the size in inches, the calculated sizes are also in inches.

Have fun!

Width	Length	Error
1	1
2	3
3	4
4	6
5	7
6	8
7	10
8	11
9	13
10	14
11	16
12	17
13	18
14	20
15	21

Width	Length	Error
16	23
17	24
18	25
19	27
20	28
21	30
22	31
23	33
24	34
25	35
26	37
27	38
28	40
29	41
30	42

With this page you can calculate the size of the more awkward rectangles from Tomoko Fuse's Origami Design, thanks to Dennis Walker.
On his own website, Dennis has an Excel file that does these same calculations.

Enter the size of the largest square in the field below, the sizes will be calculated automatically. When you start entering the calculations will be displayed.

Have fun!

Paper Size

	Length	Width
page 36
page 40 & 50
page 41(B)
page 41(C)
page 44

Did you happen to buy Joan Sallas' hat book Hut Auf!, e.g. during the Mennorode 2004 convention? Or you have the Spanish version Origami Papiroflexia: CORROS DE PAPEL. Have you also tried to figure out the correct size of the paper for a hat that fits?

Thanks to Dennis Walker you can now calculate this very easily.
On his own website, Dennis has an Excel file that does these same calculations.

Enter the head circumference in centimeters in the field below. When you start entering the calculations will be displayed. If necessary, you can round to the nearest 0.5 centimeters.

Have fun!

Head circumference in cm

German	Spanish	page	Length	Width	Paper shape
Fuchswelpe	Zorrito	12			Rectangle
Rhinohorn	Rinocornio	14			Rectangle
Katze	Gato	16			Square
Wikinger	Vikingo	18			Diamond
Safari	Safari	20			Square
Onkel	Abuelo	22			Circle
Sydney	Sydney	24			Square
Sommerhut	Canotier	28			Square
Nofretete	Nefertiti	30			Square
Turban	Turbante	32			Square
Kranz	Diadema	34			Rectangle
Moctezuma	Moctezuma	38			Rectangle
Megaspitz	Megapincho	42			Square
Knotenkrone	Corona	44			Rectangle
Teufelchen	Diablillo	46			Square
Spieglein	Bruja	50			Square
Narrenkrone	Carnaval	54			Square
Gladiator	Gladiador	56			Diamond
Moschusochse	Cabrino	58			Triangle
Kasperle	Kasperle	62			Rectangle
Mon Cheri	Mon Cheri	66			Square
Tante	Abuela	68			Square
Sportler	Deportista	70			Rectangle
Baskenmütze	Chapela	72			Square
Prediger	Predicador	76			Square
Maus	Ratoncito	78			Rectangle
Hasenlöffel	Conejo	80			Triangle
Häftling	Prisionero	82			Triangle
Panetone	Panetone	84			Square
Zauberer	Mago	86			Rectangle
Eisverkäufer	Barman	88			Square
Karussell	Tiovivo	92			Rectangle