Re: [Origami] Modular icosahedron with plain faces?
On Wed, Sep 6, 2017 at 1:50 PM, I asked: Hi > > Does anyone know of a modular icosahedron with plain faces?I mean one > regular icosahedron with plain or hollow faces not one of those > complementary polyhedrons of which there are several. In all the ones I've > seen, the triangles that are the faces are made of seveal (usually 3) parts. > > So if you know such model please let me know the name, author and if > possible where its diagram is published. > > Thanks. > Someone replied offlist (I don't know if he wants to stay unnamed) and recommended Miyuki Kawamura's model from her "Polyhedron Origami for Beginners" I folded it but I'm dissapointed. She even mentions in the diagram "you can use glue to make a strong model" which suggests (and turns out to be true) a weak link. So I'll rephrase my original question Does anyone know of a modular icosahedron with plain faces and a strong lock? If so please let me know the name, author and if possible where its diagram is published. Thanks. -- Jorge Jaramillo
Re: [Origami] Modular icosahedron with plain faces?
Both Origami Omnibus by Kasahara, and Unit Origami Multidimensional Transformations by Fuse have equilateral triangular flat units for constructing polyhedra, including icosahedron. Fuse's method uses separate joint units. None of these are particularly stable. Meenakshi > > So if you know such model please let me know the name, author and if > possible where its diagram is published. > > Thanks. > > -- > Jorge Jaramillo > >
Re: [Origami] Modular icosahedron with plain faces?
The book Unit Polyhedron Origami by Tomoko Fuse also has flat faced icosahedra. I haven't folded them but the units don't look as if they could have a strong lock. Nice Greetings Anna
Re: [Origami] Modular icosahedron with plain faces?
There's one by Luisa Canovi, made of five modules from A5 paper http://www.giladorigami.com/origami-database/Icosahedron%20Luisa%20Canovi a long time ago I used it to make a giant d20: https://enricap.deviantart.com/art/oversized-d20-5092494 https://enricap.deviantart.com/art/origami-dice-set-6966057 but it's not very stable, it works well for smaller polyhedra but the icosahedron falls apart easily. However it's pretty easy to tape in from the inside, if you are willing to cheat ;) By looking for it, I found this page where you can download the handouts from a course Luisa held http://officine.fabriano.com/origami-le-dispense-di-luisa-canovi/ (in Italian) It includes a module by Pietro Macchi which can be used to make an icosahedron, each face is made by two halves. I haven't tried it myself and I'm afraid it's going to have the same problem: good with fewer units but not so much with a lot of them all the best, enui
Re: [Origami] Modular icosahedron with plain faces?
I asked: > > Does anyone know of a modular icosahedron with plain faces and a > strong lock? Jose Ignacio Royo wrote: > > Two come up to mind. Both of them look clean, plain-faced and are quite > solid: > > 1) In David Mitchell's "Mathematical Origami" there's an icosahedron > by Tomoko Fuse which fits your description. Five modules. > > 2) There's another icosahedron by Tomoko Fuse with those > characteristics in an Origami Tanteidan Magazine, some (eight?) years > ago. I cannot check the exact number now. > > I still haven't been able to find David Mitchell's book, but I searched Gilad Aharoni's webpage and found Icosahedrons by Tomoko Fuse diagrammed in Tanteidan magazine 111. I tried the first one, the lock is ok but there are 6 faces that are half of one module and half from other and there are 2 faces that are composed of the 3 modules, so it's not what I'm looking for. I'm struggling with the second icosahedron on the same magazine also by T. Fuse but from the diagram I can see there are 2 faces that are composed of the 3 modules. It seems like it's very difficult to get the plain faces. -- Jorge Jaramillo
Re: [Origami] Modular icosahedron with plain faces?
Hi All, Jorge asked > > Does anyone know of a modular icosahedron with plain faces and a > strong lock? It doesn't seem like you've found what you're looking for. I think I can help. I designed a unit several years ago (maybe 2012?) and never shared it with anyone because I didn't consider it a very good design. The paper usage isn't very efficient and since the units are thick, there's a small hole at every vertex. But I made a youtube video you can view here: https://youtu.be/ksCcbZbX2RE A couple folding comments: Most modular origami requires 6, 12, or 30 units since the design is based on the number of edges of a platonic solid. (tetrahedron = 6 edges, cube/octahedron = 12 edges, dodecahedron/icosahedron = 30 edges). This design does not follow that rule because it is a face unit. Therefore tetrahedron = 4 units, octahedron = 8 units, and icosahedron = 20 units. To make a tetrahedron, each vertex should have 3 units coming together. For an octahedron, join 4 units at every vertex, and for an icosahedron, join 5 units at every vertex. During assembly, be mindful of tab and pocket placement - it may be necessary to change a tab into a pocket or vice versa as you go. I don't talk about color scheming in the video, but for those that are interested: I used four sheets each of five colors and they are symmetrically placed on the icosahedron (although in the video the yellow and green look similar, as do the pink and red). If you connected the center of each triangle to the other triangles of the same color with a line, you'd get a tetrahedron, and if you did this for each color, you'd get five intersecting tetrahedra. (Hi Tom!) Hope this helps! Best, Win
