![]() ![]() (suppose that each triangular-prism is made with 3 pieces) (suppose that each rectangle is made with 2 pieces) * Remember that this value is calculated as the edge is approximated to cylinder shape. If you want to make the shape of 4 triangular-prisms, with the length of the edge of the base triangle is 2, then the thickness of the modular is 0.285 * 2 = 0.57. When you start to design the modular, you can determine the thickness of the modular shape like this:.If the value is large, you can make it easily. Check the “Slenderness,” which is the criterion of how the modular is slender.If the value was small, you can make it easily. Check the “Pieces,” which is the number of edge modulers you need.I tested many combinations of polyhedrons and made a summary below. *the design of the construction is also one of the cost, but in this article, we can determine it by computer culclation. (ex: the edge of the base triangle is used to normalize D of interlocking shape constructed with triangular-prisms.) I used the length of the edge for regular polyhedrons, and used the length of the edge of the base surface for prisms. However D is changed when whole polyhedrons are expanded, so it should be normalized by the size of each polyhedron. It can be used as the criterion of the thickness. When each edge modular is cylinder shape, the modulars touch each other, when the diameter of the modular is D. ![]() Suppose that minimal distance between the edges is D. (The modular origami is hard to build when the edge modular is slender) It is, absolutly the most important point when we make a modular origami….įor example, when we make an interlocking modular origami constructed with 5 tetrahedrons (each has 6 edges), the number of pieces are 6 * 5 = 30. (The modular origami is hard to build when the value is large) The cost – I mean that the difficult point of the modular origami – can be defined numericaly, as below. Then, why don’t we try on the computer, and find out the interlocking constrution of best-performance? Premise: what is ‘cost’ of modular origami? – when we manage to try in the real world by hand. And, we cannot design the shape of edge modular properly, because we don’t know the exact value of thickness.Īs written in above, it is very hard to consider the construction of interlocking modular origami, or, it can be said that the cost-performance is poor. However, it’s difficult to create slender shape by origami. Modular creation: The interlocking modular needs to be slender to avoid corruption. Well, these conditions seems very difficult… especially by the 2 reasons:Ĭonstruction design: We don’t have knowledge of the combination of polyhedrons – which and how much? There are too many patterns. ・Edges don’t corrupt each other, and go through in the other polyhedron. ・Constructed with several same shape polyhedrons In this article, I define the ‘Interlocking modular origami’ as below. ![]()
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