Math Craft Features
News: Geodesic Gingerbread House
Came across this gingerbread house while browsing the web. Looks like you bake the gingerbread in hexagons and pentagons, and then "glue" them together with icing. Very cute!
A Kit-of-No-Parts: "Crafting" Electronics at MIT
I recently came across this amazing MIT media lab site, Kit-of-No-Parts. Though not directly related to the content Cory has been posting, it is an interesting "craft" approach to technology/science. The site was created as documentation of a student's thesis work in the High-Low Tech research group at the MIT Media Lab:
How To: Carve Polyhedral Pumpkins
Halloween is coming up, so many of you may have a need or desire to carve a pumpkin and turn it into a Jack O' Lantern. This week we are going to explore carving our pumpkins into interesting geometric shapes. In this post, we will carve the pumpkins into spherical versions of polyhedra, and in Thursday's post we will carve 2 dimensional stars and some simple fractal designs into the pumpkins.
How To: Carve Fractals and Stars on Pumpkins
Fractals and stars are two of the most beautiful and complicated-looking classes of geometric objects out there. We're going to explore these objects and how to carve them on a pumpkin. Unlike the last one on carving polyhedral pumpkins, where we used the entire pumpkin to carve a 3 dimensional shape, the pumkin carving in this post will involve two-dimensional images on a small part of the pumpkin's surface.
How To: Holy String Art, Batman! 6 of the Coolest Thread Art Projects Ever
You may remember string art from your elementary school days. If so, it probably makes you think of the 2D geometrical designs that took every ounce of patience you had as a kid. Or those laborious curve stitch drawings, which string art was actually birthed from. But thanks to some innovative modern artists, string art has gotten a lot more interesting. Here are some of the most creative applications so far.
News: The Incredible Polyhedra Models of Mario Marín
Mario Marín has made an incredible collection of models and sculptures based on polyhedra, often using everyday and readily available items. The site is in Spanish, but click on the links on the left and there are plenty of photographs, and more can be seen in Mario's blog.
News: Twisted Small Stellated Dodecahedron Tensegrity
This is a zigzag tensegrity based on a small stellated dodecahedron. There are string pentagons on the outside of the model where the vertices have opened. It is made of thirty units, consisting of a barbecue stick pair with a loop of elastic. The stick pairs are all "floating", and weave through the model without contacting any other stick pairs. It is quite tricky to assemble, but can be done entirely by hand.
News: Math Craft Inspiration of the Week: The Curved Geometric Paper Sculptures of Richard Sweeney
Richard Sweeney is an incredible artist whose body of work consists mainly of sculptures made from paper. His art is often related to origami, and much of his work is related to geometrical forms. I personally really love his modular forms in paper. Many of them are based off of the platonic solids, which have been discussed in previous posts this week. Below are a small number of his sculptures, which are very geometric in nature.
News: Mathematical Knitting
Looking into mathematical quilting, I came across a community of mathematical knitters. Check out Dr. Sarah-Marie Belcastro's (research associate at Smith college and lecturer at U Mass Amherst) mathematical knitting resource page.
How To: Make Torus Knots from Soft Metals
Torus knots are beautiful knots formed by wrapping a line around a torus and tying the ends together to form a loop. The resulting knot has a star-like appearance when viewed from above. The 36 examples with the least number of crossings can be seen at the Knot Atlas's page on torus knots.
News: Math Craft Inspiration of the Week: The Polyhedral Metal Sculptures of Vladimir Bulatov
Vladimir Bulatov makes sculptures of fantastic variations on polyhedra and other geometric objects. His site is full of incredible metal, glass, and wooden geometric sculptures, including a full section on pendants and bracelets. Here are just a dozen or so of the hundreds of beautiful objects that he has produced.
News: Math Craft Inspiration of the Week: The Mathematical Lego Sculptures of Andrew Lipson
Andrew Lipson builds sculptures based off of Mathematical objects using standard Lego bricks. He has built models of knots, Mobius strips, Klein bottles, Tori, Hoberman spheres (using Lego technic pieces), and recreations of M.C. Escher works.
News: Parabolic Art in EL-Wire by Ben Yates
This is a new line of work I've started - inspired by string art of Archimedean Lines, these are 3-dimensional sculptures made using Electro-Luminescent Wire weaved around a clear acrylic frame. They hang on the wall, but each has a sense of depth so their look alters from different angles. The EL-Wire is a copper wire coated with a phosphor so it glows its entire length, and then coated with a plastic sleeve so that it can be handled and bend around any shape.
You Won't Believe They Roll: How to Build Half Circle and Elliptical Wobblers
If you thought the last post on Two Circle Wobblers was wild, then wait until you see what happens when you build wobblers out of two half circles or two ellipses. In both of these cases, the center of gravity still remains constant in the vertical direction, allowing them to roll down the slightest of inclines or even travel a significant distance on a level surface if given a push or even when blown on.
Math Craft Monday: Community Submissions (Plus How to Make Escheresque Tessellated Cubes)
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. Since two of these posts were on polyhedral versions of M.C. Escher's tessellations, I thought we'd take a look at building a simple tessellated cube based off of imitations of his imagery.
News: Platonic Solid Made from Rider Back Playing Cards
Below, my construction of a Platonic Solid made from playing cards. To make your own, templates can be found at George Hart's site; there are also full step-by-step instructions here.
News: The Unreasonable Beauty of Mathematics
Back in August, Scientific American posted a slideshow fitting for Math Craft. Click through to check out a slideshow depicting beauty found in mathematical structures—including a beautiful knot theory chart befitting of this week's project.
News: Curvy origami designs I am working on:
I have a lot more images at hyperqbert's Profile • Instagram.
Modular Origami: Icosahedron, Octahedron & Cube
I spent the holiday weekend becoming fluent in the basics of modular origami. With practice, you can churn out the below models surprisingly quickly.
Silver & Gold: DIY Modular Origami Christmas Ornaments
After becoming addicted to basic sonobe modular origami, I decided to make ornaments for relatives as Christmas gifts. I tried using fancy paper from stores like Paper Source, and cutting it to proper origami size, but I could never get the tight folds I wanted with non-traditional, non-origami paper. I ended up using this metallic origami paper that folds beautifully, and I'm pretty happy with the tiny models I ended up with. Forgive these pictures (iPhone/Instagram), I don't have my regular...
News: Mathematical Curve Stitching Takes on the Rubik's Cube
Scrabble is definitely my pastime addiction of choice, but it's not the only game I frequent. I'm a big chess fan, crossword lover, and hooked on puzzles—any kind of puzzles. Logic puzzles, sudoko, and... the Rubik's Cube.
How To: Design Your Own Playing Card Sculpture
Download the Software Go to the Antiprism downloads page. Download and install Antiprism 0.20.
News: DIY Papercraft Architecture with Lighting
This is probably the least "Mathy" thing I will ever post. In my opinion, it's impossible to have architecture that isn't mathematical in some sense, so I am posting it anyway. Two years ago, I made a papercraft version of a cathedral in Christchurch New Zealand (It was severely damaged in an earthquake earlier this year) and cut holes for all of the windows and lit it with LED lights. I gave it to my Mom as a Christmas gift. I thought it made for a pretty amazing "Christmas Village" piece.
How To: Make Fractal Cupcakes
Last post, we looked at fractal cookies based off of the recipe by Evil Mad Scientist Laboratories. In this post, we'll follow their recipe for fractal cupcakes based off of the Koch Snowflake, which we used previously to decorate pumpkins for Halloween.
News: Three-Dimensional Weaving with Sticks
These are a few examples of my latest craze. It is basically a 3d weave of cocktail sticks—just lots of them. I have made them from chopsticks and skewers as well, but have given those as presents and don't have any pictures.
News: Alexander Graham Bell's Tetrahedral Obsession
Oobject put together a neat compilation of the famous telephone inventor's love for tetrahedrons. Scroll down to see his collection of pyramids, building towers, buildings, boats, kites and planes—all made completely out of tiny tetrahedrons. Amazing.
News: Tom Friedman's Twisted Math Art
Tom Friedman is one of my favorite artists. He's got a great sense of humor, and his work is meticulous and beautiful. He forays into Math Art, and from a partisan perspective, he seems to be inspired by mathematics, but the end results are more of a whimsical twist than a mathematically "correct" execution. But I could be totally wrong. Comment below and fill me in.
News: DIY Fractal Gingerbreadmen
After I made a blog and sent it to my friends about how I made Gingerbreadman Map fractal holiday cookies, one of them linked me back to the Sierpinski Carpet cookies, which I loved! So, I thought I'd share my how-to with everyone as well!
News: Origami Valentine's Day Present
I made a Origami Valentine's day present for my Little Sister and Neice using heart and rose origami patterns I found on-line and put them in a backet with heart shaped lollipop I bought from Target.
News: Mathematical Origami Documentary: Between the Folds
Just watched PBS origami doc Between the Folds last night. If you haven't seen it, I highly recommend it. It's a beautiful film, really inspiring. Lots of Math Craft-related subject matter. Available instant on Netflix, or for rent on iTunes.
News: DIY Crazy Paper Toy
This is just too cool. As soon as I saw this, I thought, "Math Craft!"
How To: Make a Two Circle Wobbler from CDs
One of my favorite simple projects is building two circle wobblers. I love how such a simple object amazes with its motion. The two circle wobbler is an object made out of two circles connected to each other in such a way that the center of mass of the object doesn't move up or down as it rolls. This means that it will roll very easily down a slight incline. It will also roll for a significant distance on a level surface if you start it by giving it a small push or even by blowing on it!
Math Craft Monday: Community Submissions (Plus How to Make the Golden Spiral)
It's Monday, time to highlight some of the community submissions posted to the Math Craft corkboard. One of these posts inspired me so much, I think it merits a closer look. Today, I present a "simple" method for making a golden spiral using just a straight edge, a compass, and a template, inspired by RJ Ellicock's golden ratio post.
News: Modular Paper Sculptures Based off of Richard Sweeney's Work
Here's my version of his icosahedron: I colored it in this one so that you can see the pentagonal faces of a dodecahedron:
News: Math Craft Inspiration of the Week: Electrically Generated Fractal Branching Patterns
Natural processes often create objects that have a fractal quality. Fractal branching patterns occur in plants, blood vessel networks, rivers, fault lines, and in several electrical phenomena. Many of these processes take lifetimes, or even occur on geological timescales. But this is not the case for electrical phenomena. They often occur near instantaneously. One example would be the branching patterns that sometimes occur in lightning.
News: Math Craft Inspiration of the Week: Marble Binary Calculators & Other Mechanical Computers
Since today (11/11/11) is the last 6 digit binary date this century, I thought we should look at some kinetic binary calculators.
News: Math Craft Inspiration of the Week: The Origami Tessellations of Eric Gjerde
Eric Gjerde is a master of origami who devotes much of his energy on origami tessellations. Some of his pieces fold nearly flat, forming layers that add just a hint of depth. These pieces look beautiful when lit from behind, due to the variations in brightness and color. Other pieces utilize three dimensions more fully, with repeated structures rising out of the flat page.
Math Craft Monday: Community Submissions (Plus Polyhedral Stellation)
It's another Monday, which means it's once again time to highlight some of the recent community submissions posted to the Math Craft corkboard. Additionally, I thought we'd take a look at the process of stellation and make some stellated polyhedra out of paper.Rachel Mansur of Giveaway Tuesdays posted a video from animator Cyriak Harris, which zooms into fractal hands, where each fingertip also has a hand and fingers. A few more details can be found here, as well as some other really cool pic...