0035-Bennett Arnstein - Origami Diagrams E-book

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ORIGAMI DIAGRAMS E-BOOK

by Bennett Arnstein

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ORIGAMI DIAGRAMS E-BOOK TABLE OF CONTENTS PAGE NO. TITLE 1 Front Cover 2 Table of Contents

3 Lockable Linkable 8-piece Wreath

5 Baggi Box Cube

6 West Coast Origami Guild Boomerang

9 Kiss My Fish

11 Self-Locking Masu Box

13 Majestic Flapping Bird

15 Locked Magazine Cover Box

16 Paper Noisemaker

18 Lazy Susan

20 Cicada Airplane Glider

22 Me Spin Long Time For You

24 Four Birds Module / Cube Display Frame

27 Self-Locking Triangular Letter Fold

28 Wallet

29 Wallet II

30 Spinning Buzzing Equilateral Triangle Exercise Toy

32 Storage Container / Coin Purse

33 Self-Locking Letter Fold

34 Letter Becomes its Own Envelope

35 Traditional Chinese Junk

37 Triangle Tile Puzzle

39 9-Windmill Octagon Medallion Spinner

42 Page 1 of Spike Ball Module Diagrams, from www.spikeballheaven.net

43 Simplification of David Mitchell's Discovery that Alex Ratner's Button Box

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LOCKABLE LINKABLE 8-PIECE WREATH Rona Gurkewitz & Bennett Arnstein 7 / 5 / 2007

1 2 3

Refold the crease of step 1.

4

5 6

EDGE A B

Fold up the top two layers so that the crease touches the left corner and edge A touches corner B .

7

Unfold the top two layers.

8

Lift up the top layer and refold the second layer under the top layer along the existing crease from step 7.

9

x 8

Module finished. Make eight for

wreath. one 10 TAB POCKET �� C Page 1

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LOCKABLE LINKABLE 8-PIECE WREATH Page 2 � ��

This completes the first lock, on the front

side. Wrap the second layer around the edge of the top layer.

17

18

19

This completes the second lock on the back side. Turn over and repeat steps 12 through 18 for the remaining six modules.

��

Three linked wreaths. There are an infinite number of ways the wreaths can be linked to form larger wreaths, chains, and tessellations.

21

Rona Gurkewitz & Bennett Arnstein 7 / 5 / 2007 C

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BAGGI BOX CUBE

Modification of Giuseppi Baggi's Box to make a cube. The original Baggi Box is rectangular with a double-thickness slanted edge on the inside and outside of two opposite walls. The other two walls are smooth. If a second box is used as a cover for the first box, the inside slanted edges of the cover can catch against the outside slanted edges of the first box, making it difficult to remove the cover. Making the box a cube allows the cover to be rotated 90 degrees and still fit the box, with the slanted edges of each rubbing against a smooth wall of the other. Modification by Bennett Arnstein.

1 �� C Be nn et tA rn st ei n 4 /7 /2 00 5

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BOOMERANG

Modification of Max Hulme's Boomerang in the book "Super Simple Paper Airplanes" by Nick Robinson. Modified by John Andrisan and Jim Cowling to make it spin faster and longer. The modification also adds a Kline-Fogelman effect to the underside of the boomerang. As drawn, the boomerang is intended to be launched by a right-handed person. For launching by a left-handed person fold a mirror image.

The boomerang is folded from a rectangle. A convenient size to use is half of a letter-size rectangle. The exact dimensions are not critical. One-third of a letter-size rectangle will also work, as will the strip remaining when one large square is cut from the rectangle.

1 2 � � �� C ��

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BOOMERANG Page 2

11

The area inside the heavy circle is shown enlarged in the next step.

THIS IS THE TILTED SQUARE OF STEPS 8 & 9, FOLDED IN

HALF.

12

Fold the half-square in half again along an existing crease by pushing it to the right. �� _�� _�� _��

C

17 18 C Bennett Arnstein 3 / 1 / 2005

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BOOMERANG Page 3 SECTION C-C CLOSED CREASE OPEN DOUBLE EDGE CLOSED CREASE OPEN DOUBLE EDGE ROTATED 45 COUNTERCLOCKWISE 19 �� 20 �� 22 21 �� C ��

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1 �� 2 �� A B � ��

Fish with a big mouth and fat lips. Mouth opens and closes.

� �� _� �� KISS MY FISH Page 1

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�� C Bennett Arnstein 7 / 28 / 2004

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MASU BOX WITH SELF-LOCKING CORNERS by John Andrisan � � 3 �� 4 5 �� 6 � � � �� 7 8 �� 9 10 �� 11 �� C ��

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MASU BOX WITH SELF-LOCKING CORNERS Page 2 12 13 ₁₄ 15 16 17 18 �� 19 �� 20 � �� C ��

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MAJESTIC FLAPPING BIRD by Laura Kruskal

Material needed: Rectangular copy paper. 8.5" x 11" will not give a very large or impressive wing span, but the wings will flap. Better sizes would be 8.5" x 15", 11" x 17", A4, A3,

a recycled paper placemat, or approximately 6.5" x 11" which is 8.5" x 11" with approximately a 2" strip cut off a long edge. Diagrams based on a 6.5" x 11" rectangle. Color side up.

� � �� C ��

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MAJESTIC FLAPPING BIRD Page 2 �� C �� _��

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MODIFICATION OF TRADITIONAL MAGAZINE COVER BOX WITH RAW CORNERS HIDDEN AND SIDE WALLS LOCKED.

1

Start with any rectangle; long side horizontal.

2 3 A B 4 5 6 7

5. Fold so the edge at the center on the top layer touches corner A .

6. Fold so that flap B fits inside the contour of the 45 degree folded edge. 8. Refold flap B along the crease of step 5 .

8

9 _��

An existing traditional magazine cover box may be reworked to the locked configuration by unfolding it to step 4 and then folding per this page to lock the walls. A locked box may be crammed full of stuff until the walls bulge out, but the walls will not come apart.

If you're using a cover for the box, the cover may also be reworked to the locked

configuration. _{C Bennett Arnstein 10 / 17 / 05}

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PAPER NOISEMAKER

Modification of New York City plastic metro-card clicker

1

Estimate one-third of the width and fold it to the right. See next step for estimation procedure. Start with a letter-size sheet.

A B

�

Distance "A" should be equal to distance "B" . It need not be exact. Just estimate it as close as you can, and it will be ok. Sharpen the crease and then unfold.

�

� �

1. Fold the lower right corner up to the horizontal centerline, and unfold.

2. Fold up a cuff through the point where crease 1 intersects the nearest one-third crease.

3. Make a cuff on the top edge symmetrical about the horizontal centerline with the cuff on the bottom edge.

Points C & D are where the slanted edges cross. � 5 � ��

� _{Rub your fingers}� �

or fingernails on the top layer to make the slanted edges on the bottom visible to locate points C & D.

Unfold the creases of step 8, and partially unfold the creases of steps 6 & 5.

10 E E F F 11

Re-close the creases of step 8 while the creases of steps 5 and 6 are partially unfolded. Grasp the noisemaker at the heavy circles, between the thumb and forefinger of each hand. Alternate your wrist motion between E & F. Both wrists always rotate in the same direction, as they go back and forth. Sometimes,

depending on the paper you use, you can make a louder noise by rotating your wrists in the opposite direction, as they both go back and forth.

C � ��

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PAPER NOISEMAKER

�� 1 2 �� 3 A B �� 4 �� C ��

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LAZY SUSAN Traditional Chinese 1 � � � � � � � � � � �� C Be nn et tA rn st ei n 10 /1 2 /2 00 5 Page 1

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LAZY SUSAN Page 2

19

Repeat steps 17 & 18 on the other three outer compartments.

20

The bottom surface of each outer compartment curves upward. The outer walls curve outward. The inner walls curve inward.

21

This is what the underside looks like. You can push down on the center compartment to flatten the bottom and puff it out.

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AIRPLANE GLIDER by Michael Ujin Sanders

1 2 � � � � � � � � � � � �� C � �� Page 1 ��

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AIRPLANE GLIDER Page 2

��

To improve the way the airplane glides, puff out the wings as shown. This is a view from behind the airplane, looking forward from the trailing edge to the leading edge.

To make the wings puff out, insert one finger between the upper and lower

surfaces of one wing. With the other hand squeeze the inside and outside edges together to make the wing puff out. Repeat on the other wing to make it symmetrical.

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ME SPIN LONG TIME FOR YOU by Bennett Arnstein

Start with the traditional windmill (pinwheel).

1

Bisect the angle at the tip of one blade. Allow the crease to run under the next blade. Note that the slanted edge is folded up against the

horizontal centerline.

This is a blow top that spins for a long time after you stop blowing.

Fold the slanted edge up against the vertical centerline. 2 3 � � � � �� C Bennett Arnstein 1 / 31 / 2006 See page 42, step 6.

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ME SPIN LONG TIME FOR YOU Page 2 � � �� C ��

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FOUR BIRDS MODULE by Raphael Elspas

Six modules form a Cube Display Frame. Other shapes may be made using more than six modules.

All the creases are valleys. The crease pattern is the same as for a traditional windmill. 1 2 � � �� C ��

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FOUR BIRDS MODULE Page 2 5 � �� _{C �� } ��

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FOUR BIRDS MODULE Page 3

13

The module is finished.

14

The modules are connected at the beaks. Prepare one beak on each module by spreading apart the left and right sides of the beak.

15

Insert the beak of one module into the pocket above the beak of the other.

16

Two modules connected. When the beaks are fully engaged, squeeze the left and right sides of both beaks back together again.

This will cause the entering beak to be squeezed tightly and held inside the pocket of the receiving beak. �� C ��

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SELF-LOCKING TRIANGULAR LETTER FOLD by Rona Gurkewitz

1

Start with a letter-size sheet.

O PE N D O U BL E ED G E F O LD E D E D G E 1 1 2 2 2

1. On the top layer only, pinch the centerline near the bottom edge. 2. Creasing both layers, construct a 30 degree angle.

3

Bisect the obtuse angle at the right edge.

4

Bisect the obtuse angle at the left edge.

�

Bisect the obtuse angle at the right edge. � �� _� �� _� � � � � �� C ��

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WALLET by Rona Gurkewitz

1 �

Fold the upper corners to the horizontal center crease.

3

Cupboard-door fold the sides to the center.

4 5 6 Blunt corners. 7 8 9 C Rona Gurkewitz 8 / 23 / 2007 Diagrams by Bennett Arnstein

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WALLET II 1 �� C ��

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SPINNING BUZZING EQUILATERAL TRIANGLE EXERCISE TOY by Bennett Arnstein

1

Divide a letter-size sheet into four equal spaces and cut off one strip.

4 = 1 1 2 2 2

1. Pinch the centerline at the bottom of the strip.

2. Construct a 30 degree angle at the bottom of the strip.

3

Cut along the last crease and discard the shaded portion. � � � � � � �� C Be nn et tA rn st ei n 4 /2 4 /2 00 6

Based on Rona Gurkewitz's Self-Locking Triangle Letter Fold Page 1 �� _�� 18

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SPINNING BUZZING EQUILATERAL TRIANGLE EXERCISE TOY Page 2

Insert the last triangle completely into the pocket under the top layer.

The three altitudes, creased in step 16, intersect at the center of gravity of the triangle. Make two marks at equal distances from the center of gravity.

Using the marks as locators, punch two holes through all layers of the triangle. �� C �� _�� _� � �� _�� _� ��

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STORAGE CONTAINER / COIN PURSE

1

Crease both diagonals. Crease to divide all four sides into three equal parts.

Start with an 8.5" square (22 cm) Page 5 of 8

2 3

Crease only where shown. Repeat at the other three corners.

4

Sharpen the four mountain creases. 5 �� 6 7 8 9 10 �� A B C D E F G H A B C D H E F G C Bennett Arnstein 8 / 1 / 2006 Traditional 11 ��

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SELF-LOCKING LETTER FOLD by Bennett Arnstein

Based on Yami Yamauchi's Sonobe module folded from a letter-size sheet, as is his Square Spinner. � � � � � � � � �� 6 7 8 9 10

LETTERS THIS SIZE...

...MAKE A SELF-LOCKING LETTER FOLD THIS SIZE.

C ��

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ENVELOPE

Origin unknown. John Cunliffe calls it a Scoop Envelope because during one of his folding steps for a split second it looks like a scoop. I learned it from Dr. Milt Sager who said he learned it from somebody during a meeting of the West Coast Origami Guild, a long time ago in a place far away. It could also be called a "Self-Mailer" because it converts a letter into its own envelope, suitable for mailing. I think of it as a storage container for flat modules or squares of origami paper.

1 �� 2 3 � �� 6 - 9 ��

For a longer narrower envelope start with the long side vertical in step 1. C Bennett Arnstein 3 / 30 / 2005

The envelope in step 12 is the size that results from starting with a sheet of the size shown in step 1.

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CHINESE JUNK

Traditional Page 1 � �� C ��

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CHINESE JUNK

Page 2 12 �� 13 14 �� C ��

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TRIANGLE TILE

Three modules make one triangle. Six triangles make one hexagon puzzle. Use six colors, three modules of each color. Each triangle has three different colors.

1

2 2

1

1. Pinch the centerline near the top edge only.

2. Construct a 30 degree angle through the lower left corner.

2 3

Unfold step 2 of fig. 1 .

4 _{Refold step 2 of fig. 1 .}5

6

7

The crease on the top layer lines up with the edge on the bottom layer.

8

The module is finished. Partially unfold the crease of step 5. TAB POCKET 9 FIRST MODULE SECOND MODULE 10 Make three modules of different colors for each tile. Assemble the modules in the flat position of step 5.

Insert the tab of the second module into the pocket of the first module. Close flat the crease of step 7 on the second module. Slide this crease along the edge of the pocket until the second module reaches the pointy end of the pocket.

Diagrams and text C Bennett Arnstein 5 / 22 / 2006

Inventor unknown Page 1

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TRIANGLE TILE Page 2

THIRD MODULE

11

In a similar fashion, place the tab of the third module into the pocket of the second.

The pocket of the third module is now the top layer, and the tab of the first module is the bottom layer. Carefully lift the tab of the first module and place it on top of the third module. Then insert the tab of the first module into the pocket of the third module.

� �

�

��

Now refold the crease of step 5 on each module, in the sequence shown. Note that the second module is folded first, then the first module is folded, and the third module is folded last. The flap of the third module covers the flap of the first module and goes under the flap of the second module.

13

The tile is finished. Each edge has the same color, front and back.

The puzzle is to arrange the tiles side by side so that they form a hexagon, with the same color edge on both tiles wherever two tiles touch. Since each color appears three times, the third instance of each color must lie on the outside of the hexagon. You can solve the puzzle as you assemble the tiles, and then make a sketch of the hexagon showing the final color arrangement. Then use the sketch to solve the puzzle again after the tiles have been shuffled.

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8-WINDMILL OCTAGON MEDALLION

Start with step 6 of the Spike-Ball Module diagrams on page 42. This is the traditional windmill with the four vanes sticking straight up from the base.

1

Hold the left vane in your left hand and the right vane in your right hand. Mountain-fold the

diagonal of the square base so the rear vane and the front vane both swing down and meet below the mountain crease.

2

��

A small sailboat has been formed, with two points at the left end and one point at the right end. Wrap the rear left point forward around the two vertical closed creases so it ends up behind the front left point.

3 Fold both layers of the right point back

along existing creases, forming a pocket. Note the slanted closed crease on the inside, which is the tab. The module is finished. Make 8 modules.

When two modules are connected, the pocket of the first module gets wrapped around the tab of the second.

POCKET

TAB

X 8

4

5

The pocket of the first module has been wrapped around the tab of the second.

FIRST MODULE SECOND MODULE Page 1 6

Bring the sail of the second module from behind to in front of the sail of the first module. This will lock the two modules together.

Franco Pavarin's "Girandola"

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8-WINDMILL OCTAGON MEDALLION Page 2

The pocket of the second module has been wrapped around the tab of the third.

7 8

Move the sail of the third module from behind to in front of the sail of the second module.

Continue connecting modules until eight modules have been connected. Then connect the eighth module to the first one. In order to get the pocket of the eighth module around the tab of the first one it will be necessary to disconnect the sail of the second module from the first one, and then

re-connect it after the eighth and the first have been connected. Make sure that each sail lies in front of the sail of the previous module.

This is the front side of the medallion.

9 10

This is the back side of the medallion.

C Bennett Arnstein 6 / 5 / 2008

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HOW TO MAKE THE 8-WINDMILL OCTAGON MEDALLION SPIN by Yami Yamauchi

Make a blow-top spinner from a ninth windmill, using the same size square as was used for the eight windmills to make the medallion. Attach the blow-top to the back side of the medallion by inserting the vanes of the blow-top between the modules of the medallion. This will be illustrated using a "Me Spin Long Time For You" blow-top (see page 22).

1

First inspect the back side of the medallion. Notice which direction the vanes of the blow-top must enter the spaces between the modules. For the medallion shown, the vanes of the blow-top must enter in a counter-clockwise direction.

Fold a "Me Spin Long Time For You" blow-top with its vanes pointing in the opposite direction, so that when the blow-top is turned upside-down they will be pointing in the correct direction. Then turn it upside-down and insert the vanes into the back side of the medallion as shown in step 1.

The blow-top has been attached to the back side of the medallion. The medallion will spin if you blow down on the front side, but it will spin faster and longer if you spin it by hand. Spin it on a smooth hard dry clean horizontal surface.

2

3

MEDALLION BLOW-TOP

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SPIKE BALL MODULE

by Rona Gurkewitz & Bennett Arnstein

Start with the Froebl unit, invented by Frederick Froebl, also known as the Pinwheel, or Windmill.

1

Cupboard-door fold in both directions, and crease both diagonals, all valley creases.

2

Fold one corner to the center, and then unfold. Repeat at the other three corners. 3 �� 4 �� 5 ₆ 7 8

This completes the basic Froebl unit. Rather than flatten the vanes to form a windmill, spread open and squash each vane flat, making the four corners meet at the center.

9

Two things must now happen at each corner:

(1) Let the corner point on the bottom layer swing out away from the center without making a crease on the bottom layer.

(2) Fold the corner point on the top layer in to the center, making a crease on the top layer.

Repeat at the other three corners.

� � Page 1 10 11 Mountain-fold both diagonals by sharpening existing creases. C Bennett Arnstein 12 / 6 / 2007 ��

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SIMPLIFICATION OF DAVID MITCHELL'S DISCOVERY THAT ALEX RATNER'S BUTTON BOX CAN BE MADE FROM THE FROEBEL WINDMILL

Start with step 8 on page 42.

8

On the top layer, fold the four corners at the center out to the four outer corners.

9 ₁₀ 11 �� 12 �� 13 14 �� 15 �� 16 �� 17 �� C ��