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The Zing-Man Origami Gallery |
Origami from Sky and Space . Animals, Beasts and Creatures . Insects and Flowers . Polyhedra
Welcome to my origami page. Here you will find photos and instructional diagrams of some original origami models I have designed.
The Foldinator Origami Modeler and Document Generator now has its own page, available here.
Polyhedra:
Stellated Dodecahedron 2005, 2007
One of my all-time favorite shapes has always been the Stellated Dodecahedron. I've designed and attempted to fold various versions of this shape over time. The first is from a single square. It works, but it's very challenging to fold because there are many flaps of extra paper to deal with by the time you get to the end, and the model wants to spring apart. Still, I like the CP a lot because of the way the layout maximizes the root pentagon and underlying square. Vertices of the finishes form touch 3 edges of the paper.
Next up is the one folded from a 2:1 rectangle. This one is remarkably efficient in it's use of paper, to the point where I had to set it into a larger area to have paper to do the joining. It's also kind of cool because it has a sort of zigzag layout.
Last is a version made from 2 squares, each of which comprise half the finished model. This is much easier to fold because you can reach inside each half as you're making it, and the leftover flaps of paper become tabs that fit into the opposite half, nicely solving the problem of what to do with the leftover bits. At the end, the two halves lock together tightly and securely. The resulting model is quite attractive, because it's much easier not to crush it as you're putting it together.
Crease Pattern for Stellated Dodecahedron from a Square
Crease Pattern for Stellated Dodecahedron from a Rectangle
Crease Pattern for Stellated Dodecahedron from Two Squares
Sliced Icosahedra 2007
I discovered an interesting shape over the summer: an octahedron made of three regular pentagons and five equilateral triangles. I've never seen this shape before and don't know if it has a name. So I went ahead and made it out of origami. It has the interesting property that if you replace each pentagon with five equilateral triangles you get an icosahedron. Several other shapes have this property, including the pentagonal antiprism and a pentagonal pyramid. There's another with 15 triangles and one pentagon, and yet another still with two pentagons and 10 triangles, but it's not an antiprism because the pentagons are not parallel. Here are CP's for the complete set of shapes "Icosahedra with One or More Slices Cut Out of Them, Who's Faces are Composed of Pentagons and Triangles."
Crease Pattern for Octahedron
Crease Pattern for Dodecahedron
Crease Pattern for Dodecahedron
Crease Pattern for Heptadecahedron
Crease Pattern for Hexahedron
Three Interescting Octahedra 2004
Also called the TriOcathedron, or alternatively Stellated Rhombic Dodecahedron, this polyherdon sits atop one of the towers in M.C. Escher's Waterfall. Folded from a single square sheet.
Crease Pattern for TriOcathedron
Cuboctahedron 2001
This fourteen-sided Archimedian solid is one of my favorite shapes.
Crease Pattern for Cuboctahedron
Tetrahedron Dual 2001
This is a fascinating shape, and can be seen either as a stellated ocatahedron or two mutuall intestecting tetrahedra. This model is my only modular or compound, and is made of four sheets of square paper, each containing one corner of each of two tetrahedrons. DIfferent methods of creating the module render the final shape in similar or contrasting colors.
Icosohedron 2000
Original method for folding the twenty-sided platonic solid from a single rectangular sheet of a 2:1 ratio. My method features good utilization of the paper and optimization for size, a relatively easy and straightforward prefold sequence, and a very secure lock.
Crease Pattern for Icosohedron
Snub Tetrahedron 2003
This semiregular octohedron has four regular hexagons and four equalateral triangles as faces. My model is folded from a single square sheet.
Pentagonal Pyramid 2003
One of only a handful of unique hexahedra, this is a very beautiful shape, whose constuction is replete with the golden ratio.
Crease Pattern for Pentagonal Pyramid
Triangular Prism 2002
In an effort to complete a Peridic Table of Polyhedra in origami, I have begun to concentrate on producing all of the lower polyhedra that I have not seen created elsewhere. There are two unique types of pentahedra (polyhedra having five sides). One is a pyramid with a square base, and the other is the triangular prism. The one shown here is a "regular" triangular prism, having all edges of unit lengths and faces of regular polygons. It is folded from a single square sheet, and has a stong and clever lock.
Crease Pattern for Triangular Prism
Half Tetrahedron 2002
A nonregular triangular prism, this solid has the interesting property of being able to form a tetredron when joined to another of the same shape by the square face. The faces of this figure include a square, two equalateral triangles, and two trapaziods whose long edge is twice as long as the other three edges. My model is folded from a single square sheet, and has a robust lock.
Crease Pattern for Half Tetrahedron
Hexahedron III 2002
This intriguing hexahedron has as faces two equalateral triangles, two rhombi, and two trapezoids, and it has the interesting propery that it can be used as a module to tile space. I do not know if it has a formal name among mathemeticians. My model is made from a single square sheet.
Crease Pattern for Hexahedron III
Origami from Sky and Space . Animals, Beasts and Creatures . Insects and Flowers . Polyhedra
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