9/16/2023 0 Comments Best paper to make modular origami![]() ![]() The pieces overlap at the vertices and their colors mix, so I find that having three all different or all the same colored edges meeting at a vertex looks best, but you are welcome to try any scheme you like! ( Note there’s one other important preparatory step below the table.) Pentagon-Hexagon polyhedra You may want to print out its skeleton and label the edges with the colors you intend to use for them. So choose such a polyhedron to be your personal target the table below shows a variety of options, but there are numerous others you can find and all are welcome. The packet includes 90 pieces (18 each of five colors), enough to construct any pent/hex polyhedron with 20 or fewer hexagons. (Other people who’d like to be involved hands-on with Modular Origami can see their options at the end of this post.) To get the most out of our session, you’re strongly encouraged to do just a little bit of advance preparation. Official participants in the week should soon receive a packet of construction pieces inspired by the Phizz unit. This plenary session of the Illustrating Math week at PCMI provides an opportunity for our community - together and in parallel - to physically explore the possibilities afforded by this type of “modular origami, without the origami.” After the building activity, the facilitator and anyone who would like to join will return to the main conference platform for informal socializing. Essentially any modular origami unit can be converted to a flat cut-and-scored sheet which these machines can automatically produce in significant quantity. The recently-developed sophistication of the “electronic craft cutter” market substantially alleviates this problem. However, one drawback to using modular origami in general-audience presentations is the time required for generating the basic units before the “fun part” of seeing how they fit together begins. For example, the “Phizz Unit,” pictured at right, allows construction of any roughly equilateral polyhedron with only pentagonal and hexagonal faces, and so serves as an excellent vehicle for discussions around why there seem always to be twelve pentagons and about Euler’s formula and what numbers of hexagons are possible. Modular origami (see an example at left) provides an excellent example: an offshoot of traditional paper-folding crafts, it has embraced, and provided elegant representations of, a large array of geometric phenomena. ![]()
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