0035-Bennett Arnstein - Origami Diagrams E-book

ORIGAMI DIAGRAMS E-BOOKby Bennett Arnstein

ORIGAMI DIAGRAMS E-BOOKTABLE OF CONTENTS

PAGENO. TITLE

1 Front Cover2 Table of Contents3 Lockable Linkable 8-piece Wreath5 Baggi Box Cube6 West Coast Origami Guild Boomerang9 Kiss My Fish11 Self-Locking Masu Box13 Majestic Flapping Bird15 Locked Magazine Cover Box16 Paper Noisemaker18 Lazy Susan20 Cicada Airplane Glider22 Me Spin Long Time For You24 Four Birds Module / Cube Display Frame27 Self-Locking Triangular Letter Fold28 Wallet29 Wallet II30 Spinning Buzzing Equilateral Triangle Exercise Toy32 Storage Container / Coin Purse33 Self-Locking Letter Fold34 Letter Becomes its Own Envelope35 Traditional Chinese Junk37 Triangle Tile Puzzle39 9-Windmill Octagon Medallion Spinner42 Page 1 of Spike Ball Module Diagrams, from www.spikeballheaven.net43 Simplification of David Mitchell's Discovery that Alex Ratner's Button Box

can be made from the Froebel Windmill

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

1 2 3

Refold the creaseof step 1.

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EDGE A

B

Fold up the top two layers so that the creasetouches the left corner and edge A touchescorner B .

7

Unfold the toptwo layers.

8Lift up the top layer and refold the secondlayer under the top layer along the existingcrease from step 7.

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x 8

Module finished.Make eight forwreath.

one

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TAB

POCKET

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CPage 1

LOCKABLE LINKABLE 8-PIECE WREATHPage 2

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This completes thefirst lock, on the frontside. Wrap the second layer around the edge of

the top layer.

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18

19

This completes the second lock on the backside. Turn over and repeat steps 12 through18 for the remaining six modules.

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Three linked wreaths. There are an infinitenumber of ways the wreaths can be linkedto form larger wreaths, chains, and tessellations.

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Rona Gurkewitz & Bennett Arnstein 7 / 5 / 2007C

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

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CBennettArnstein4/7/2005

BOOMERANG

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

The boomerang isfolded from a rectangle.A convenient size to useis half of a letter-sizerectangle. The exactdimensions are not critical.One-third of a letter-sizerectangle will also work,as will the strip remainingwhen one large square iscut from the rectangle.

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BOOMERANGPage 2

11

The area inside the heavycircle is shown enlarged inthe next step.

THIS IS THE TILTED SQUAREOF STEPS 8 & 9, FOLDED INHALF.

12

Fold the half-square in half againalong an existing crease by pushingit to the right.

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C Bennett Arnstein 3 / 1 / 2005

BOOMERANGPage 3

SECTION C-C

CLOSEDCREASE

OPENDOUBLEEDGE

CLOSEDCREASE

OPENDOUBLEEDGE

ROTATED 45 COUNTERCLOCKWISE

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

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KISS MY FISHPage 1

Lips by Soon Young Lee, adapted to Jun Maekawa's Piranha by Junior Jacquet

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MASU BOX WITH SELF-LOCKING CORNERSby John Andrisan

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MASU BOX WITH SELF-LOCKING CORNERSPage 2

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15 16

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MAJESTIC FLAPPING BIRDby Laura Kruskal

Material needed: Rectangular copy paper. 8.5" x 11" will not give a very large or impressivewing 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 approximatelya 2" strip cut off a long edge. Diagrams based on a 6.5" x 11" rectangle. Color side up.

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Diagrams drawn by Bennett Arnstein

MAJESTIC FLAPPING BIRDPage 2

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Diagrams drawn by Bennett Arnstein

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

1Start with any rectangle;long side horizontal.

2 3

A

B

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5

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5. Fold so the edge at thecenter on the top layer touchescorner A .6. Fold so that flap B fitsinside the contour of the45 degree folded edge.8. Refold flap B along thecrease of step 5 .

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An existing traditional magazine cover box may be reworked to the locked configuration byunfolding it to step 4 and then folding per this page to lock the walls. A locked box may becrammed 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 lockedconfiguration. C Bennett Arnstein 10 / 17 / 05

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PAPER NOISEMAKERModification of New York City plastic metro-card clicker

1

Estimate one-third of the widthand fold it to the right. See nextstep for estimation procedure.

Start with a letter-size sheet.A

B

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Distance "A" should beequal to distance "B" .It need not be exact. Justestimate it as close as youcan, and it will be ok.Sharpen the crease andthen unfold.

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1. Fold the lower right corner upto the horizontal centerline, andunfold.2. Fold up a cuff through the pointwhere crease 1 intersects the nearestone-third crease.3. Make a cuff on the top edge symmetricalabout the horizontal centerline with the cuffon the bottom edge.

Points C & D arewhere the slantededges cross.

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Rub your fingersor fingernails onthe top layer to makethe slanted edges onthe bottom visible tolocate points C & D.

Unfold the creases ofstep 8, and partially unfoldthe creases of steps 6 & 5.

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EE

F

F11

Re-close the creases of step 8 while the creases ofsteps 5 and 6 are partially unfolded. Grasp thenoisemaker at the heavy circles, between the thumband forefinger of each hand. Alternate your wrist motionbetween E & F. Both wrists always rotate in the samedirection, as they go back and forth. Sometimes,depending on the paper you use, you can make a loudernoise by rotating your wrists in the opposite direction,as they both go back and forth.

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LAZY SUSANTraditional Chinese

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Page 1

LAZY SUSANPage 2

19

Repeat steps 17 & 18on the other three outercompartments.

20

The bottom surface ofeach outer compartmentcurves upward. Theouter walls curve outward.The inner walls curveinward.

21

This is what theunderside looks like.You can push down onthe center compartmentto flatten the bottom andpuff it out.


AIRPLANE GLIDERby Michael Ujin Sanders

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AIRPLANE GLIDERPage 2

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To improve the way the airplaneglides, puff out the wings as shown.This is a view from behind theairplane, looking forward from thetrailing edge to the leading edge.

To make the wings puff out, insert onefinger between the upper and lowersurfaces of one wing. With the other handsqueeze the inside and outside edgestogether to make the wing puff out.Repeat on the other wing to make itsymmetrical.


ME SPIN LONG TIME FOR YOUby Bennett Arnstein

Start with the traditional windmill (pinwheel).

1

Bisect the angle at the tip of oneblade. Allow the crease to run underthe next blade. Note that the slantededge is folded up against thehorizontal centerline.

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

Fold the slanted edge up against thevertical centerline.

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See page 42, step 6.

ME SPIN LONG TIME FOR YOUPage 2

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FOUR BIRDS MODULEby Raphael Elspas

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

All the creases are valleys. The creasepattern is the same as for a traditionalwindmill.

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FOUR BIRDS MODULEPage 2

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FOUR BIRDS MODULEPage 3

13

The module is finished.14

The modules are connected at thebeaks. Prepare one beak on eachmodule by spreading apart the leftand right sides of the beak.

15

Insert the beak of onemodule into the pocketabove the beak of the other.

16

Two modules connected. When the beaksare fully engaged, squeeze the left and rightsides of both beaks back together again.This will cause the entering beak to be squeezedtightly and held inside the pocket of the receivingbeak.

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SELF-LOCKING TRIANGULAR LETTER FOLDby Rona Gurkewitz

1Start with a letter-size sheet.

OPENDOUBLEEDGE

FOLDEDEDGE

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2

2

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1. On the top layer only, pinchthe centerline near the bottom edge.

2. Creasing both layers, constructa 30 degree angle.

3Bisect the obtuse angleat the right edge.

4

Bisect the obtuse angleat the left edge.

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Bisect the obtuse angle at theright edge.

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WALLETby Rona Gurkewitz

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Fold the upper corners tothe horizontal center crease.

3Cupboard-door fold thesides to the center.

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6Blunt corners.

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C Rona Gurkewitz 8 / 23 / 2007Diagrams by Bennett Arnstein

WALLET II

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SPINNING BUZZING EQUILATERAL TRIANGLE EXERCISE TOYby Bennett Arnstein

1

Divide a letter-size sheetinto four equal spaces andcut off one strip.

4 =

1

12

2

21. Pinch the centerline

at the bottom of thestrip.

2. Construct a 30 degreeangle at the bottomof the strip.

3Cut along the last creaseand discard the shadedportion.

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BennettArnstein

4/24/2006

Based on Rona Gurkewitz's Self-Locking Triangle Letter FoldPage 1

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SPINNING BUZZING EQUILATERAL TRIANGLE EXERCISE TOYPage 2

Insert the last trianglecompletely into the pocketunder the top layer.

The three altitudes, creasedin step 16, intersect at the centerof gravity of the triangle. Maketwo marks at equal distancesfrom the center of gravity.

Using the marks aslocators, punch two holesthrough all layers of thetriangle.

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STORAGE CONTAINER / COIN PURSE

1Crease both diagonals.Crease to divide all foursides into three equalparts.

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

2 3

Crease only where shown.Repeat at the other threecorners.

4

Sharpen the fourmountain creases.

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Traditional

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SELF-LOCKING LETTER FOLDby Bennett Arnstein

Based on Yami Yamauchi's Sonobe module folded from a letter-size sheet, as is hisSquare Spinner.

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LETTERS THIS SIZE...

...MAKE A SELF-LOCKINGLETTER FOLD THIS SIZE.

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

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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 sizeshown in step 1.

CHINESE JUNKTraditionalPage 1

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CHINESE JUNKPage 2

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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.

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12

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11. Pinch the centerline nearthe top edge only.

2. Construct a 30 degreeangle through the lower leftcorner.

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Unfold step 2 of fig. 1 .

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Refold step 2 of fig. 1 .

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7The crease on thetop layer lines up withthe edge on the bottomlayer.

8The module isfinished. Partiallyunfold the creaseof step 5.

TAB

POCKET

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FIRSTMODULE

SECONDMODULE

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Make threemodules ofdifferent colorsfor each tile.

Assemble the modules in the flat position of step 5.Insert the tab of the second module into the pocket of the firstmodule. Close flat the crease of step 7 on the second module.Slide this crease along the edge of the pocket until the secondmodule reaches the pointy end of the pocket.

Diagrams and text Bennett Arnstein 5 / 22 / 2006C

Inventor unknownPage 1

TRIANGLE TILEPage 2

THIRDMODULE

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In a similar fashion, place the tab of the thirdmodule into the pocket of the second.The pocket of the third module is now the toplayer, and the tab of the first module is thebottom layer. Carefully lift the tab of the firstmodule and place it on top of the third module.Then insert the tab of the first module into thepocket of the third module.

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Now refold the crease of step 5 oneach module, in the sequence shown.Note that the second module is foldedfirst, then the first module is folded,and the third module is folded last.The flap of the third module coversthe flap of the first module and goesunder the flap of the second module.

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

The puzzle is to arrange the tiles side by side so that they form a hexagon, with the samecolor 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 thepuzzle as you assemble the tiles, and then make a sketch of the hexagon showing thefinal color arrangement. Then use the sketch to solve the puzzle again after the tiles havebeen shuffled.

Diagrams and text Bennett Arnstein 5 / 23 / 2006C

8-WINDMILL OCTAGON MEDALLION

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

1

Hold the left vane in your left hand and the rightvane in your right hand. Mountain-fold thediagonal of the square base so the rear vane andthe front vane both swing down and meet belowthe mountain crease.

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A small sailboat has been formed, with twopoints at the left end and one point at theright end. Wrap the rear left point forwardaround the two vertical closed creasesso it ends up behind the front left point.

3 Fold both layers of the right point backalong existing creases, forming a pocket.Note the slanted closed crease on theinside, which is the tab. The module isfinished. Make 8 modules.When two modules are connected, thepocket of the first module gets wrappedaround the tab of the second.

POCKET

TAB

X 8

4

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The pocket of the first module has beenwrapped around the tab of the second.

FIRSTMODULE

SECONDMODULE

Page 1

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Bring the sail of thesecond module frombehind to in front ofthe sail of the firstmodule. This will lockthe two modulestogether.

Franco Pavarin's "Girandola"


8-WINDMILL OCTAGON MEDALLIONPage 2

The pocket of the second modulehas been wrapped around the tabof the third.

7 8

Move the sail of the third module frombehind to in front of the sail of thesecond module.

Continue connecting modules until eight moduleshave been connected. Then connect the eighthmodule to the first one. In order to get the pocketof the eighth module around the tab of the first oneit will be necessary to disconnect the sail of thesecond module from the first one, and thenre-connect it after the eighth and the first have beenconnected. Make sure that each sail lies in front ofthe sail of the previous module.This is the front side of the medallion.

9 10

This is the back side of the medallion.


The next page shows how to make the medallion spin.

HOW TO MAKE THE 8-WINDMILL OCTAGON MEDALLION SPINby Yami Yamauchi

Make a blow-top spinner from a ninth windmill, using the same size square as was used for the eightwindmills to make the medallion. Attach the blow-top to the back side of the medallion by insertingthe 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-topmust enter the spaces between the modules.For the medallion shown, the vanes of theblow-top must enter in a counter-clockwisedirection.

Fold a "Me Spin Long Time For You"blow-top with its vanes pointing in theopposite direction, so that when theblow-top is turned upside-down theywill be pointing in the correct direction.Then turn it upside-down and insert thevanes into the back side of the medallionas 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 willspin faster and longer if you spin it by hand. Spin it on a smooth harddry clean horizontal surface.

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MEDALLION BLOW-TOP


SPIKE BALL MODULEby Rona Gurkewitz & Bennett Arnstein

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

1Cupboard-door fold in bothdirections, and crease bothdiagonals, all valley creases.

2Fold one corner to thecenter, and then unfold.Repeat at the other threecorners.

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This completes the basic Froeblunit. Rather than flatten the vanesto form a windmill, spread openand squash each vane flat,making the four corners meet atthe center.

9Two things must now happen at eachcorner:(1) Let the corner point on the bottom

layer swing out away from the centerwithout making a crease on thebottom layer.

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

Repeat at the other three corners.

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Mountain-fold bothdiagonals by sharpeningexisting creases.


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

Start with step 8 on page 42.

8On the top layer, fold thefour corners at the centerout to the four outer corners.

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0035-Bennett Arnstein - Origami Diagrams E-book

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