![]() ![]() ![]() Maybe you just have something cool that you made or saw on the web-you can share that, too! If you complete any of these projects, any of the variations, or any of the other previous Math Craft projects, please share with us by posting to the corkboard. To build this model, I strongly suggest looking closely at pictures of the rhombic triacontahedron. The finished model from a different direction showing what looks like isometric cubes. The finished model showing pentagrams and pentagons. These rings of 5 should be connected to each other via rings of 3.įrom underneath showing how these connect: Now connect an additional unit to each of these rings of 5 to form rings of 3.Ĭonstruct rings of 5 from each of the flaps from the rings of 3. How to Construct the Rhombic Triacontehedron from 30 Compound Units This post/video shows the entire process of making the pentakis dodecahedron. If you keep continuing this, you will build the Pentakis Dodecahedron. Take 5 compound units and form a ring of 5.Ĭonstruct more rings of 5 from these units. How to Construct the Pentakis Dodecahedron from 30 Compound Unitsīuild 30 compound units from 60 Sonobe Units. Now take two of these and connect them to each other to make a compound unit. Make a standard Sonobe unit and then change two of the fold directions so that it looks like this. How to Make Compound Units for the Pentakis Dodecahedron. The completed unit should look like this: Repeat with the other side and fold the excess paper over so that it can't be seen.įinish building this as if it were a standard sonobe unit. Follow the steps to make a standard Sonobe unit until you get to this point.įold the end flaps over so that you are bisecting one of the acute angles of the parallelogram. This variation works exactly the same as a standard Sonobe Unit. How to Make an Easy Sonobe Variation from Paper Colored on One Side Here's another view where you can really see the pentagons and pentagrams. Notice all of the triangles you can see from this angle. If the object ever looks really lopsided, it is probably because you have 2 rings of 5 connected to each other. Repeat these steps making sure each ring of 5 is completely surrounded by a ring of 6. The object will really begin to curve into the 3rd dimension.įinish surrounding each of these groups of 5 with groups of 6. Now between each of the 5 rings of 6, construct a ring of 5. Here's what it will look like with the ring of 5 completely surrounded by 5 rings of 6. So now take and form a ring of 6 pyramids connected to the five from the last step.Ĭonnect another ring of 6 to the ring of 5. It should look like this from underneath:Ī truncated icosahedron is formed by taking 12 pentagons and completely surrounding each of these by a ring of 5 hexagons. How to Make a Truncated Icosahedron from 90 Sonobe Units Tape or glue (Not strictly necessary, but these models can fall apart easily).Sonobe Units (Make from paper, preferably origami paper which folds better).To learn how to construct this unit, you should view Tuesday's post. The second was supposed to be the pentakis dodecahedron, but through systematic errors last night, I actually built a different model based off of the rhombic triacontahedron.Īll of these models are built from multiple copies of the sonobe unit. The first is the truncated icosahedron, which is a common stitching pattern for a soccer ball. In this post, we are going to explore that concept further by making two more geometric models. Last post, the Sonobe unit was introduced as a way to use multiple copies of a simply folded piece of paper to make geometric objects. ![]()
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