![]() ![]() goal of which is to build a Menger sponge of depth 3 origami modular out of 66,048 business cards. Plank, Penultimate Polyhedra, preprint, downloaded from. Origami really does have many educational benefits. Hull, Project Origami: Activities for Exploring Mathematics, second edition, A.K. Menger Cube) Designed by Jo Nakashima (09/2019) Support my channel. How to make an origami Menger Sponge (a.k.a. Arnstein, 3-D Geometric Origami: Modular Polyhedra, Dover Publications, 1996. 277K views 3 years ago Origami MengerSponge. Fuse, Unit Origami: Multidimensional Transformations, Japan Publications, 1990. Here are the sources consulted for the origami models seen above. This is a symmetric coloring in four colors. Plank's Penultimate Polyedra modules by L. Cuboctahedron, created using a module inspired by J.The truncated tetrahedron and truncated octahedron are colored in four colors, and the truncated icosahedron in five colors (see ). These models are all symmetrically colored. Truncated Tetrahedron, Truncated Octahedron, and another Truncated Icosahedron, created using the triangular vertex module of B. ![]() ![]() The unit has faces consisting of eight pentagons, sixteen hexagons, and four octagons (see ). origami that are approximations of fractals, such as Mengers sponge. Torus, created using 84 copies of the PHiZZ unit, in two colors, by Alex Ott and Luke Vaughan. A stellated icosahedron made from custom papers Modular origami, or unit origami.Sydney designed the color scheme and created the paper that is white on one side and colored on the other using a spreadsheet and a color laser printer (see ). Dodecahedral assembly created from the Snow-Capped Sonobe module by Sydney Cannon.Another Truncated Icosahedron, this one created using a flat unit designed by James Plank in two colors, created by Lisa Dewen, Tucker Feix, and Emma Kunard (see ).Truncated Icosahedron created by the PHiZZ unit, created by Travis Amerine, Connor McAllister, and Caleb Smith, in five colors using a symmetric color scheme (see ).MIT alumna and OrigaMIT origami club member. That may be hard to picture, but this MIT News video explains how the Menger Sponge is also an origami project you can make out of folded business cards, and a lot of friends, time, and coordination. Menger sponge, front view and side view, created from over 2400 business cards by Logan Biggins, Layne Kisling, and Olivia Long (see ). A Menger Sponge is a three-dimensional fractal curve that has zero volume and infinite surface area.Such structures can be approximated in origami using iterative folding or using modular. Fractals are a class of mathematical objects which are characterized by self-similarity: a part of the object resembles the whole. Johnson solids, created by Jonathan McGill from business cards (see ). Such structures can be approximated in origami using iterative folding or using modular origami techniques.Here are the final projects completed for MATH 28, Mathematics and Origami, in Spring 2018. ![]()
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