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double-sided-hexagonal-ring-solid-tetrahedral-symmetry-toroid-20xT4.04a / Ardonik
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double-sided-hexagonal-ring-solid-tetrahedral-symmetry-toroid-20xT4.04a

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ライセンスクリエイティブ・コモンズ 表示-継承 2.1
説明Those of you who have seen some of my other folded pieces will know that I have been strongly influenced by the designs of Tomoko Fuse. One design in particular, a toroid from page 21 of Fuse's book Unit Polyhedron Origami, (mis)taught me that it was possible to bring together twenty identical objects with tetrahedral symmetry to create a "giant ball." Making these toroids (which, as it turns out, are geometrically invalid near-misses, but most people don't notice that) is always an interesting challenge, and they form an integral part of my repertoire.A different part of the same book teaches the units depicted in this photograph—the Double-Sided Convex and Concave Hexagonal Ring Solid Units—and page 70 describes how to use the latter to make one of the simplest designs: a truncated cube, or T₄ in the Stewart Toroid nomenclature.And perhaps now you see where I'm going with this. "Wouldn't it be a lark," I thought to myself, "if I revisited Tomoko Fuse's book in order to combine the tetrahedral symmetry toroid concept with her hexagonal ring solid units?" What you see here is the result.The coloring is simple: a rainbow gradient from the inside to the outside. Each truncated cube contains 3 red units, 3 orange units, 9 yellow units (shared with neighboring truncated cubes), and 6 green units, after which the cycle reverses: 9 light blue units, 3 dark blue units, and finally 3 purple units. The yellow units are convex Hexagonal Ring Solid units, while all of the other units are concave. The distinction is important: using concave units everywhere by merely reversing their creases where needed causes the structure to easily come apart. Glue doesn't help. Trust me, I tried.
撮影日2013-07-29 21:57:31
撮影者Ardonik
タグ
撮影地
カメラCanon PowerShot A495 , Canon
露出0.05 sec (1/20)
開放F値f/3.0
焦点距離15136.92941 dpi


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