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Articles for keyword: geometric

Winnie Leung provides instructions for building a steam engine and offers to equip you with the necessary paper tickets.
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by Joanna Sobczyk, diagrams by Adam Szewczyk
Diagrams for a beautiful fractal flower from a hexagon with color change. A very advance design for someone who has only been folding since 2013.
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by Meenakshi Mukerji
Diagrams for a 30 unit modular with color-changed five petaled flowers. For four petaled flowers assemble 12 units.
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by Usman Rosyidhi
Diagrams for the Rose Quilt, by Usman Rosyidhi, from Indonesia.
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Here is Distorta2016 by Alessandro Beber.
For your enjoyment, here are photos from a small exhibition of Tomoko Fuse's art at the Tsunagu Gallery in Tokyo.
Here are some crease patterns for a number of Alessandro Beber's beautiful high intermediate creations.
Diagrams for a simple modular from 2:1 rectangles, released in open access to celebrate the World Origami Days 2016.
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This is a followup of my previous article, Pentakis Dodecahedron (Issue 35), featuring variation patterns. Mono paper such as copy paper or Tant is a must.
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by Mukul Achawal
Diagrams for a 30 unit modular dodecahedron with color change by Mukul Achawal of India.
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Diagrams for a simple modular from squares 4" or smaller. For larger constructions though, use paper of proportion \(5:3\sqrt{3}\), i.e., \(1:1.039\).
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An exploration of a propeller tessellation formed from standard square twists.
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Photo diagrams for a 30 unit modular with subtle curves by Aldos Marcell of Nicaragua. Assemblies with other number of units possible as well.
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Diagrams for a simple Sonobe type modular made from approximately 1:5 rectangles. This design is great for any leftover strips you may have amassed when sizing paper for other projects.
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Diagrams for a 12 or 30 unit modular with color change. The starting paper size ratio for an unit is 1:3.
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by Thomas R. Crain
This article explores several variations in a square twist crease pattern that may be achieved simply by varying the mountain/valley assignment of the same underlying crease pattern.
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Diagrams for a 30-unit Sonobe type design with color change. Other assemblies such as 3, 6, 12 or larger number of units are possible as well.
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Diagrams for a 30 unit modular design.
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Diagrams for a spinable top by Ali Bahmani, folded from a pentagon.
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Diagrams for a simple 5 or 6 unit sturdy modular design.
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Diagrams for an octagonal star with color change, from a single uncut square. Also included is a variation of the star.
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by Hans Dybkjær
This article tells the tale of the higher spheres of oranges and apples: How I got there, and how to make them.
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Building Block Units (BBU) are a new family of modular origami units, with over one hundred different interlocking module designs.
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by Nguyen Quang Do Lisa
Diagrams for a heart with wings designed by Nguyen Quang Do Lisa.
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by Meenakshi Mukerji & Ittai Hacohen
The 3-unit Sonobe hexahedron (Toshie's Jewel) and the 12-unit Sonobe octahedral assembly are well known Sonobe constructions. But did you know that you can also construct the former with double the number of units, and the latter with half the number of units, i.e., both shapes from 6 units?
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Diagrams for a floral modular designed by Ekaterina Lukasheva.
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A discussion of an alternate Sonobe Unit assembly which produces a surprisingly different result than the conventional one. Diagrams included.
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Narong Krined
Diagrams for a beautiful 12 or 30 unit Sonobe Variation.
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by Milind Oka
Diagrams for two money fold models, a box with lid and duck, by Milind Oka.
by Clifford Jones
A progressive crease pattern for a box-pleated house with latticed windows by Clifford Jones.
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Diagrams for a beautiful 12 or 30 unit modular.
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The story of a process developed for folding rigid wood laminate, with crease patterns, images, and recipes.
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Diagrams for a geometric, two-sheet, 3D tree for the holiday season.
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Diagrams for the solid version of the Compound of 5 Tetrahedra aka the 47th Stellation of the Icosahedron, similar to the very popular frame version by Tom Hull/Francis Ow, known as Five Intersecting Tetrahedra or FIT. Some mathematics has been discussed as well.
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Diagrams for a 30-unit modular design by Ekaterina Lukasheva.
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A quick and easy method of folding a heptagon by Jacques Justin and some related discussions. Francesco Mancini found the method in a pile of letters and notes that he inherited from Roberto Morassi's origami archive.
Diagrams for various decorative cubes based on Froebel designs applied to blintzed windmill bases.
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by Joseph Fleming
Diagrams for a Sailboat on the sea by Joseph Fleming.
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Diagrams for a 6 unit cube with hearts on all faces and two specially colored diagonally opposite vertices. 24-unit assemblies are possible and left as challenge.
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Diagrams for a 30-unit modular design by Ekaterina Lukasheva of Russia.
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Diagrams for a simple, eight-piece modular ring.
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Tridecagon, also known as the triskaidecagon, is a 13-sided polygon. There are several origami methods already available for folding the tridecagon but the simplicity of my approach may be of interest to people. You may use the tridecagon to transpose origami designs based on other regular polygons.
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Diagrams for a 30 piece modular design by Natalia Romanenko of Moldova.
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The origins of origami in Japan are lost in the mists of history, but we have surprisingly good records of paper-folding from over a thousand years ago in pre-Columbian Mesoamerica.
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Diagrams for a 30-unit modular design by Ekaterina Lukasheva of Russia.
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A sunk-side elbow design is used to create a variety of models: Star Block models in particular. This method has the potential for much creative work!
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Diagrams for a Sakura Star by Ali Bahmani designed to be viewed from both sides.
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Toyoaki Kawai’s method of making a pentagon from a square is a widely used one. This article demonstrates how to extend his method to a decagon and shows examples of transpositions of well known designs to pentagons and decagons.
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by Irina Reutskaya
Diagrams for a 30-piece modular design by Irina Reutskaya of Russia.
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Diagrams for a two piece modular star designed by Sy Chen that can rotate to change form.
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by Daniel Reutsky
Diagrams for a 30-piece modular design by Daniel Reutsky of Russia.
by Nobuko Okabe
This article introduces readers to Star Festival, Variation 1, a model made with 16 units.
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An article about folding images using large grids and hundreds of reverse folds.
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by Herdy Soepono
Diagrams for two simple connected mountains by Herdy Soepono.
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Diagrams for a 30-piece modular design by Valentina Minayeva of Ukraine.
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Diagrams and video for a 6 piece modular star by Maria Sinayskaya.
by Sjaak Adriaanse
Paper hoarders will appreciate this nifty tool for cutting leftover pieces of paper into common size ratios like 4 by 3, Golden and Silver rectangles, or the ratio of the dollar bill.
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by Thomas E. Cooper
Diagrams for a simple pyramid model with variations, used for to help teach geometry.
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Diagrams for a 30 piece modular by Uniya Filonova of Russia.
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Diagrams for a 8 piece modular star by Maria Sinayskaya of South Africa.
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by Arnold Tubis
Arnold Tubis offers yet another dollar bill fold of George Washington, framed on both sides of the model using two dollar bills.
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by Thomas Hull
Several variations on a hexagon-based, iso-area, geometric collapse method are shown. Some of these were taught at the 2013 OrigamiUSA Annual Convention in New York City.
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by Arnold Tubis
A folding method for closed masu boxes from a single square, generalized to masu-like structures with regular polygonal bases.
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Diagrams for a 30 piece modular design by Natalia Romanenko of Moldova.
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This article aimed at novice folders examines the design and folding process for geometric bowl and vase models characterized by a series of curved pleats.
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Diagrams for a simplified color-change diamond playing card symbol by Meenakshi Mukerji.
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A rotationally symmetric solid curved fold, folded from a regular hexagon.
Diagrams for a modular star "Hilli" by Klaus-Dieter Ennen, as well as video instructions by Sara Adams
Learn how to fold the first in a series of many variations on a single star. This one has eight points, but you can achieve any number from 3 to 12 using this method.
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by Jean Baden-Gillette
Diagrams for the 2012 OrigamiUSA Holiday Gift.
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Diagrams for a 3D Double Star Puff Pyramid folded from a regular hexagon.
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by Arnold Tubis, John Andrisan, and Christopher Pooley
Part two in a series examining the mathematics behind the golden ratio in some geometric boxes.
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by Wendy Zeichner
An interview with two pioneers of modular woven polypolyhedra.
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A simple yet elegant Sonobe variation by Meenakshi Mukerji.
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by Arnold Tubis and Carmen Sprung
Tubis and Sprung show that the same starting shapes used previously to create generalized masu boxes [Tubis and Pooley 2012] can be used to produce \(n\)-pointed 3D stars.
Diagrams for the model Six Intersecting Pentagrams, plus an article on its history.
Tomoko Fuse's newest book is exquisite and all about spirals!
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Learn to fold a family of modular units that can create a wide variety of deltahedra, polyhedra whose faces are equilateral triangles.
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by Bennett Arnstein
Proof of Lewis Simon's construction for the trisection of the side of a square or the short side of a rectangle.
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by Arnold Tubis and Christopher Pooley
Tubis and Pooley explore \(n\)-sided generalizations of the masu and one of its many decorative-lids. Detailed video instructions are provided at the Origami Player site.
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Meenakshi Mukerji
30 pieces of paper are folded to make a modular version of the Compound of Five Octahedra model.
by Ilan Garibi
Can you cut paper with origami instead of scissors? While trying to design a 24 unit Stellated Octahedron, I got stuck with all the math involved and decided to make it simple - cut the intersected units by folding.
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Thomas Hull
This wave model is fun to fold and has a lot of math in it!
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Diagrams for a heart variation based on a model by Edwin Corrie.
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A pleated cone sliced by multiple planes creates this geometric model reminiscent of a breaking wave.
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Diagrams for a classic puzzle, typically made of wood.
by Ilan Garibi
Diagrams for a Star of David from 6 units.
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Crease patterns and video for two modular tree units with variations.
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A rotationally symmetric geometric shape, folded from a hexagon, based on Jeannine Mosely's "Bud".
Diagrams for two modular designs.
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by Tom Hull
A summary of Bern & Hayes' proof that flat-foldability in origami is computationally hard!
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Design and folding instructions for one of the 54 polypolyhedra using dollar bills.
Diagrams for an elegant seven piece color-change modular.
Diagrams and video tutorial for a color-change box modular.
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by Arnold Tubis and Crystal E. Mills
A method for making four-compartment side–to–side or corner–to–corner divider inserts for prism-shape containers with square faces is generalized so as to produce n equal compartments of specified height for a container with an n–sided regular-polygon face.
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With many tessellations, the obvious way to design the crease pattern doesn't necessarily result in a foldable pattern. By adding extra creases to the pattern, you can sometimes find an alternate way to the finished form, as you'll see in this geometric pattern.
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by Didier Piguel
Diagrams for Didier Piguel's Stardust, a star that can be transformed into an abstract yet expressive character.
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By cmorrow [at] mtholyoke.edu (Charlene Morrow)
An expanded version of a 5OSME convention commentary that appears in the Winter 2011 issue of The Paper, pp 18-19. Many more interesting experiences and color photos that could not be included in The Paper version due to limited space.
Course information for an MIT graduate course in Geometric Folding Algorithms.
This article gives a nice overview of the types of tessellations there are, and how to create one yourself.
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by Andrew Hudson
Pureland Origami is used as the starting point for a discussion about realism and convention vs. simplicity and clarity in diagramming style
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by Tom Hull
The origami wind spinner is a traditional, if somewhat obscure model of repeated pleat folds. We ask ourselves, "What kind of shapes can paper form with these simple pleats?" and, "How much can we make a square piece of paper rotate with this pleating scheme?" The answers are surprising and fun!
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by Tom Hull
Learn how to fold Molly Kahn's 3-unit modular Hexahedron and marvel at the multitude of math manifested around this model!