For other glues, you might need to hold for close to a minute. For superglue, you only need to hold for a couple of seconds. Press the tab together to the polygon it is supposed to attach to. I usually partially fold all of the edges and tabs so that I can see how the object is going to be formed. It can help, but it can also destroy the paper if you're not careful.įold and glue, or tape, the object together. If you used paper, the paper will fold fairly easy without this step. This makes the paper weaker in these spots, allowing the folds to be near perfect. If you used card stock, apply pressure with your scoring tool across the edges and tabs that are to be folded. Only leave the tab connected to the main polygon. Make sure you cut the space between the tabs and the other polygon it starts off touching.
#POLYHEDRON SHAPES PDF#
pdf files, and I usually print the color page rather than coloring my own.
#POLYHEDRON SHAPES DOWNLOAD#
To follow along with me, go to the section on platonic solids and download the template for the dodecahedron. Go to the download site and find the polyhedron you wish to build. Tacky craft glue, super glue gel or tape.I actually just lightly use the blade of an Exacto knife, but this takes precision, so be careful if you use this technique.
You only really need this if you use card stock. A scoring tool like a blank pen or the back of a table knife.Usually mass retailers such as Walmart or Target carry thinner cardstock, which might be preferable for some of you. You can buy 110 lb card stock at any office supply store. I use the thickest my printer can handle, so I can make stronger objects, but this does make it more difficult to fold. Cutting mat or board, if using an Exacto knife.Something to cut with (scissors, or Exacto knife).Let's go through the process of making one of these in a bit more detail. The great icosahedron, while beautiful, took me close to 3 hours to cut and fold out of 1 piece of paper. Please note, these are significantly more difficult and time consuming. Those nets can be found here.įinally, to make really cool Christmas ornaments, you should try some convex polyhedra like the Kepler-Poinsot polyhedra (download here). Once you've exhausted the platonic solids, I suggest the Archimedean Solids, which can have more than one type of polygon. They are composed entirely of regular polygons of the same size and shape, and are convex so that all angles bend towards the shape's center. I suggest starting out with the Platonic Solids, which are the simplest of polyhedrons. Next, cut out the shape of the object and fold as directed, and then glue or tape the object closed. All you have to do is download the object, and then use your printer to print it out on regular paper or card stock. Gijs Korthals Altes has a great site for finding these nets. The objects in the last group are actually three-dimensional projections, or shadows of objects that can only exist in four dimensions! Some day, perhaps, we'll take a look at these polychorons in detail.įor now, let's look at nets for folding up simpler paper geometric objects.
These are truly amazing geometric shapes. To show what amazing forms can be made from paper-using techniques similar to folding nets-I present some images of work by Father Magnus Wenninger. One of the easiest ways to make a three-dimensional shape is by making the net out of paper and folding it. This unfolding of the polyhedron is called a net. Since they are made entirely of flat faces with straight edges, you can often unfold them to a two-dimensional shape, as you would with a cardboard box. They are composed entirely of flat faces and straight edges.
Polyhedra are the three-dimensional extension of two-dimensional polygons. Since this is the first post, and future Mondays will be dedicated to presenting community submissions, I'm going to go off schedule and share a simple DIY project for exploring the basics of geometric art. I'm hoping the community will learn even more from each other than from my posts. With that said, please post anything of relevance in the comments section of posts, the community corkboard, or start a thread in the forum. My goal is to host a public forum in which people can learn, participate and contribute. Friday: Inspirational posts about artists and artwork in the field, including historical projects and works.Thursday: Extensions, inspiration and more mathematical details for the current project of the week.Tuesday: Introduction to the new project of the week.Monday: Highlights from member submissions to the community corkboard.Every week, there will be approximately four posts according to the following schedule: Welcome to Math Craft World! This community is dedicated to the exploration of mathematically inspired art and architecture through projects, community submissions, and inspirational posts related to the topic at hand.
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