This activity is best organised with some ATM square mats, scissors and a supply of Copydex. This naturally leads on to an exploration as to whether it is possible to make a model of two pieces of a cube and where the join, say, is a regular hexagon. It is possible to start with the film, view it collectively and ask members of the class to re-play specific bits in their heads and describe what they have seen to the rest of the class. So how can it be used with a class of pupils? It is the sort of Mathematics that can be done in the dead of night without access to paper or a computer. The inner task is about working with images in ones head. Want to master Microsoft Excel and take your work-from-home job prospects to the next level? Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.The outer task shows cutting through a cube in a number of different ways and examining the cross section each time. If you have any other ideas you would like to pursue, let me know in the forum. If you like these types of projects, let me know in the comments. Perhaps you have some original project or something you've seen on the web that you'd like to share.
CUBE TESSELLATION HOW TO
I'd love to see these adapted as Christmas ornaments and hanging from a tree, or maybe you can figure out how to make them into usable boxes with a lid. If you make the Escheresque Cubes or any of the other previous Math Craft projects, please share with us by posting to the corkboard. Glue the remaining face onto the tabs, making sure the colors are properly aligned. Glue it onto one face of the cube and attach it to the other.Īfter you glue all the faces together you should have an open box with 4 top tabs.
You'll also need to fold this down the middle. Notice that one edge doesn't have any tabs. You also probably want to use something to pre-stress the folds, such as a dead ball point pen or a light touch from a knife. You are probably going to want to use that straight edge to fold along. The angles on the tabs should be greater than 45 degrees, otherwise you'll have overlapping tabs when you glue it together.įold the main part so that it looks like an open box. You'll want to use a straight edge unlike me.Ĭut out the rest leaving tabs as shown. I used glossy photo paper this time.Ĭut out the bottom square. How to Make an Escheresque Tessellated Cube I really like his fish template and his lizard template, so I decided that I'd use those to make an Echeresque cube without the Rubik's cube underneath. Several of these are based off of recreations of Escher's tessellations. In one section, he has dozens of images that can be used for sticker patterns. Werner Randelshofer has a fantastic website on Rubik's cube. However, I can share with you some templates that are very Escheresque. Unfortunately, Escher's Art is protected by copyright and so I can't share with you any templates for creating Escher-based polyhedra. Imatfaal's post uses his triangular (or hexagonal) tessellations, while my post uses his square tessellations. The creator permitted me to share it here.įinally, there were two posts on creating polyhedral versions of Escher's tessellations. While browsing I discovered this beautiful picture, which reminded me of Math Craft posts on creating parabolic curves from straight lines and creating concentric circles, ellipses, cardiods and more. Please enable JavaScript to watch this video. This underlying shape is the same as the complete one used for Imatfaal's Sonobe Buckyball, which was named after Buckminster Fuller who popularized the Geodesic Dome. The top dome is supported by a cardboard net in the shape of one half of a truncated icosahedron.
CUBE TESSELLATION PLUS
Toastykitten of Google Plus World posted up a time-lapse video of a Geodesic Gingerbread house being created. Here's the Sonobe Buckyball with a similar color scheme: Here's the pentakis dodecahedron with the faces all colored differently:
CUBE TESSELLATION FULL
He also posted up full detailed instructions on making the pentakis dodecahedron on the main blog. The first is a palm-sized pentakis dodecahedron made from 60 units, and the second was a sonobe buckyball made from 180. Math Craft Moderator Imatfaal Avidya posted up pictures of two sonobe modular origami polyhedra. Escher's tessellations, I thought we'd take a look at building a simple tessellated cube based off of imitations of his imagery.
Since two of these posts were on polyhedral versions of M.C. It's once again Monday, which means it's time to highlight some of the most recent community submissions posted to the Math Craft corkboard.
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