If you are interested in origami polyhedra made from a hard single sheet origami single sheet of paper, try the book älterer mann will mich treffen by John Montroll. This books is jam packed with mann will mich treffen information on how to design and create your own polyhedra from a single sheet of uncut paper. Note, this is different than which produces fabulous polyhedra using multiple sheets of paper.
The book is over 300 pages long and it is divided into 3 parts. Part 1 is about designing origami polyhedra. Part 2 and 3 are diagram instructions on how to fold polyhedra from a single sheet of uncut square paper.
Part 1: Designing Origami Polyhedra
Montroll begins the book with a series of criteria which he considers when he is designing origami. An optimal design should have these characteristics:
 The faces should be clean with no creases or edges of the paper.
 The design should be efficient so russische single frauen aus deutschland the largest model is made from a single sheet.
 The resulting model should lock nicely to give a stable polyhedron.
 The folding sequence should have symmetry.
 The folding sequence should be easy or at least uncomplicated.
Excerpts from John Montroll's book demonstrating the methodology for designing origami polyhedra.
These layouts have different kinds of symmetry such as radial, odd, even, odd/even, or square symmetry. Some types of symmetry are easier to render into origami. Some polyhedra have more than one level of symmetry so it is necessary to determine which gives an optimal design.
Next, there is a discussion on tabs (which are used to form locks) and how one can modify a design to allow for the formation of tabs.
The book contains numerous examples so you can understand how some layouts give larger sizes but poor tabs. Some designs give large models with good locks, but may be awkward to fold. In each case, the optimal crease pattern is found after a bit of trial and error.
Examples of tetrahedronbased designs. All made from a single sheet of paper with no cuts. Shown: Tetrahedron,Tetrahedron of Triangles, and Dimpled Truncated Tetrahedron.
After you have determined which layout is best, it is then time to find a folding sequence to get the appropriate crease pattern which can then be collapsed into the polyhedra. To do this, you need to know the lengths of the edges of the flattenedout polyhedra and the angles which define the faces of the polyhedra.
Algebra and trigonometry are used to find the angles and key landmarks of the design. Ways to divide a sheet of paper into thirds, fifths, sixths, sevenths etc are shown. Before you start folding origami polyhedra, Montroll takes you through a warmup by folding polygons: these are used as examples to reinforce what we learned about lines, lengths, and angles
Examples of cubebased designs. All made from a single sheet of paper with no cuts.
Shown: Cube, Cube with Squares, Cubehemioctahedron, and Dimpled Rhombicuboctahedron.
Part II and III: Diagrams
Part 2 of this books gives diagram instructions on how to fold platonic polyhedra and some variations. Included are models based on the tetrahedron, cube, icosahedron, and dodecahedron. Variations include the "sunken" platonic solids. A total of 27 models.
Examples of octahedronbased designs. All made from a single sheet of paper with no cuts.
Shown: Octahdron, DuoColor Octahedron, Octahemioctahedron, and Icosahedron.
Part 3 is similar to part 2 in that it is a series of diagrams which show you how to fold polyhedra. This section is dedicated to dipyramids and dimpled dipyramids from a single sheet of paper. Many are folded in a similar manner with small changes to achieve various angles and shapes. Some are tall while others are stout, all have gemlike facets. A total of 37 hard single sheet origami models.
Examples of Sunken and Dimpled Polyhedra. All made from a single sheet of paper with no cuts.
Shown: Sunken Octahedron, Sunken Cube, Tall Dimpled Square Dipyramid, Dimpled Octagonal Dipyramid in a Sphere.
Summary
If you want to learn how to make your own polyhedral origami from a single sheet of paper, this book is definitely for you. The instructions are explained in a clear and easy to understand fashion and many examples are given to walk you through the process. Armed with these techniques, you can create your own geometric shapes. In addition to the design aspect of the book, there are instructions for over 60 models.
The book contains a fair amount of math, but this is necessary when dealing with the design of geometric shapes. You only need to know grade 9 or 10 math in order to grasp the ideas. Models are not exactly "hard" to fold, but they are involved. All of them are the creaseandcollapse type where the paper is creased and then collapsed into its final shape.
If you are interested in learning how to fold origami polyhedra from a single sheet of paper, but do not want to grapple with the mathematics or design elements, then you should get Montroll's other two books:
, and
Both of these book have clear, easy to follow diagrams without the nitty gritty details frauen beim joggen kennenlernen of how the models were first designed.
If you want to make beautiful 3D geometric shapes and are not too fussy about one or many sheets of paper, then you should make origami polyhedra via.
Examples of Dipyramids. Shown: Triangular Dipyramid 90°, Tall Square Dipyramid, Squat Golden Pentagonal Dipyramid, and Pental Dipyramid 45°.
The more square your paper, the better your origami will turn out. This article shows you can make a squareshaped paper hard single sheet origami of any shaped sheet. Basic Paper Skills Origami Basics. Take a single sheet of paper. This can be of size, standard size however is 8 by hard single sheet origami You only do this for one sheet of paper at a time.
Hold the top right corner of the paper and fold it towards singles cottbus meine stadt the lower left side. Bring it down until the paper forms into a rightangled triangle.
Make sure all the corners touch each other exactly. There should be a small rectangular section left at the bottom. What are the dimensions of the paper square? That depends on the size of the sheet of paper you have. If you are using standard copy paper 8. Not Helpful 0 Helpful 0. What is the size of the square paper? The size of your paper will depend on the size of your starting paper. Essentially, the side length of your square will be the hard single sheet origami as the small side of the starting paper.
Not Helpful 1 Helpful 0. Already answered Not a question Bad question Other. Tips If you do not have a pair of scissors, you can crease the rectangle along the side of the halfsquare. Run your fingernail over the crease repeatedly to make it sharp, put the folded paper on a hard surface, and tear off along the crease. You can also lick the edge and then tear the paper. Warnings Be careful while using scissors. Add a photo Upload error. Tell us more about it? Click here to share your story.
Thanks to all authors for creating a page that has been read 31, times. Did this article help you? Cookies make wikiHow better. By continuing to use hard single sheet origami site, you agree to our cookie policy. SR Sandy Robinson Jul 22, It was simple and easy. NL Nara Lee Jul 22, CC Chaniyah Caldwell Apr 3.
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The author of the scheme build a bat is Miyajima Noboru, a video lesson for us assembled German R. One gets such a bat is quite difficult, This daemon had very realistic.
You can see not only his intimidating powerful body, but also features that the author was also able to work out perfe Fans of hard single sheet origami of the most popular science fiction movie in history under the name "Star Wars" are probably familiar with the star fighter ChiWing Fighter However, it is true. However, the hard single sheet origami of their implementation is far from classical technique of origami. Who is brave and creative, please try to repeat these Origami tiger Hideo Komatsu.
The scheme is also difficult as the nature of this animal. The creation of this origami is a fascinating journey, you will need all your skill. Horse figure is quite interesting and complex in execution. Folds in this figure significantly transmit four horse legs, hard single sheet origami and tail. For careful implementation of this work is recommended to hard single sheet origami sheet of paper. But the result is worth the labor that will give you pleasure, the assembly is invaluable.
This kusudama going from 13 buds lilies, coupling scheme which you can find on our website This is just one of the many variants of the modular origami cube consisting of 12 modules.
The links of the cube is quite easy to the very same assembly module will require Elegant gift box origamistyle, with a rose on a lid. Manufacturing Boxes shown in detail in a video instruction. Model movable origami crane flapping Robert Lang, author of the model.
The scheme is quite complex and may require your patience. Hard single sheet origami have is correct, that you will succeed, even if perhaps not the first attempt.
Very complex model origami Antique Dragon from the great master Satoshi Kamiya. To perform this model you need to choose the right paper to be patient, and through trial and error to try to achieve results. book contains Origamania scheme rather complex origami models.
This often animals and insects. The book is suitable for advanced users as well as beginners will be quite difficult to understand diagrams. The book contains a very complex animal model. Some circuits contain up to steps. Of plain paper and no experience, such models do not perform. Looking at the work of Satoshi Kamiya can not believe that they are made of paper. Is rock even enough to see the works of the great masters of origami, Satoshi Kamiya. The book contains a very sophisticated, but at the same time and very beautiful models of origami.
When the models of quality paper insects become realistic. The book appears in English, but rarely in the majority characters.
For lovers to each model provided patern. Very complex but colorful and realistic models of insects from Robert Lang. Most models require special paper and wetfolding technique.
This is a very complex model origami. To perform this model will need patience and skills of folding. The results and problems älterer mann will mich treffen unsubscribe in the comments. Another fairly complex, but very colorful origami model for professionals. The scheme origami dragon hard single sheet origami quite detailed, but there are moments of quite complex to understand, and requires and creativity. Again, do not forget about the comments Very specific and complicated at the same time elegant model origami geckos and fly.
It is a beautiful work of Belgian master origamista Herman van Gubergena Complex origami diagrams Sometimes masters attract complex patterns origami assembly. If the scheme is complicated, then craft is very beautiful, perfect.
Daemon origami Fernando Gilgado This daemon had very realistic. Horse by Hideo Komatsu Horse figure is quite interesting and complex in execution. Lily Kusudama This kusudama going 13 buds lilies, coupling scheme which you can find on our website Modular Origami Cube This is just one of the many variants of the modular origami cube consisting of 12 modules.
A gift box with a rose Elegant gift box origamistyle, with a rose on a lid. Crane Origami difficult model Model movable origami crane flapping wings. Origamania  Lionel Albertino Book The book contains Hard single sheet origami scheme rather complex origami models. Works of Satoshi Kamiya Book The book contains a very complex animal model.
Insect Fumiaki Kawahata The book contains a very sophisticated, but at the same time and very beautiful hard single sheet origami of origami. Hard single sheet origami Book Very complex but colorful and realistic models of insects from Robert Lang. Mantis origami This is a very complex model origami.
Oriental dragon origamistyle diagram pdf Another fairly but very colorful origami model for professionals. Geckos and fly origami Very specific and complicated at the same time elegant model origami geckos and fly.
Page 1 of 3 Prev. Most popular instructions Antique Dragon Satoshi Kamiya Tarantula by Robert Lang Origami tiger.
Origami Gato cat  Yakomoga Origami tutorial
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If you are interested in origami polyhedra made from a single sheet of paper, try the book by John Montroll. This books is jam packed with information on how to design and create your own polyhedra from a single sheet of uncut paper. Note, this is different than which produces fabulous polyhedra using multiple sheets of paper.
The book is over 300 pages long and it is divided into 3 parts. Part 1 is about designing origami polyhedra. Part 2 and 3 are diagram instructions on how to fold polyhedra from a single sheet of uncut square paper.
Part 1: Designing Origami Polyhedra
Montroll begins the book with a series of criteria which he considers when he is designing origami. An optimal design should have these characteristics:
 The faces should be clean with no creases or edges of the paper.
 The design should be efficient so the largest model is made from a single sheet.
 The resulting model should lock nicely to give a stable polyhedron.
 The folding sequence should have symmetry.
 The folding sequence should be easy or at least uncomplicated.
Excerpts from John Montroll's book demonstrating the methodology for designing origami polyhedra.
These layouts have different kinds of symmetry such as radial, odd, even, odd/even, or square symmetry. Some types of symmetry are easier to render into origami. Some polyhedra have more than one level of symmetry so it is necessary to determine which gives an optimal design.
Next, there is a discussion on tabs (which are used to form locks) and how one can modify a design to allow for the formation of tabs.
The book contains numerous examples so you can understand how some layouts give larger sizes but poor tabs. Some designs give large models with good locks, but may be awkward to fold. In each case, the optimal crease pattern is found after a bit of trial and error.
Examples of tetrahedronbased designs. All made from a single sheet of paper with no cuts. Shown: Tetrahedron,Tetrahedron of Triangles, and Dimpled Truncated Tetrahedron.
After you have determined which layout is best, it is then time to find a folding sequence to get the appropriate crease pattern which can then be collapsed into the polyhedra. To do this, you need to know the lengths of the edges of the flattenedout polyhedra and the angles which define the faces of the polyhedra.
Algebra and trigonometry are used to find the angles and key landmarks of the design. Ways to divide a sheet of paper into thirds, fifths, sixths, sevenths etc are shown. Before you start folding origami polyhedra, Montroll takes you through a warmup by folding polygons: these are used as examples to reinforce what we learned about lines, lengths, and angles
Examples of cubebased designs. All made from a single sheet of paper with no cuts.
Shown: Cube, Cube with Squares, Cubehemioctahedron, and Dimpled Rhombicuboctahedron.
Part II and III: Diagrams
Part 2 of this books gives diagram instructions on how to fold platonic polyhedra and some variations. Included are models based on the tetrahedron, cube, icosahedron, and dodecahedron. Variations include the "sunken" platonic solids. A total of 27 models.
Examples of octahedronbased designs. All made from a single sheet of paper with no cuts.
Shown: Octahdron, DuoColor Octahedron, Octahemioctahedron, and Icosahedron.
Part 3 is similar to part 2 in that it is a series of diagrams which show you how to fold polyhedra. This section is dedicated to dipyramids and dimpled dipyramids from a single sheet of paper. Many are folded in a similar manner with small changes to achieve various angles and shapes. Some are tall while others are stout, all have gemlike facets. A total of 37 models.
Examples of Sunken and Dimpled Polyhedra. All made from a single sheet of paper with no cuts.
Shown: Sunken Octahedron, Sunken Cube, Tall Dimpled Square Dipyramid, Dimpled Octagonal Dipyramid in a Sphere.
Summary
If you want to learn how to make your own polyhedral origami from a single sheet of paper, this book is definitely for you. The instructions are explained in a clear and easy to understand fashion and many examples are given to walk you through the process. Armed with these techniques, you can create your own geometric shapes. In addition to the design aspect of the book, there are instructions for over 60 models.
The book contains a fair amount of math, but this is necessary when dealing with the design of geometric shapes. You only need to know grade 9 or 10 math in order to grasp the ideas. Models are not exactly "hard" to fold, but they are involved. All of them are the creaseandcollapse type where the paper is creased and then collapsed into its final shape.
If you are interested in learning how to fold origami polyhedra from a single sheet of paper, but do not want to grapple with the mathematics or design elements, then you should get Montroll's other two books:
, and
Both of these book have clear, easy to follow diagrams without the nitty gritty details of how the models were first designed.
If you want to make beautiful 3D geometric shapes and are not too fussy about one or many sheets of paper, then you should make origami polyhedra via.
Examples of Dipyramids. Shown: Triangular Dipyramid 90°, Tall Square Dipyramid, Squat Golden Pentagonal Dipyramid, and Pental Dipyramid 45°.
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