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News: Origami Panda

So, this is a type of origami that is called golden venture origami. This type of origami is made of hundreds to thousands of little intersecting triangles. This took about 2-3 three hours, the picture is pretty bad because it was taken at school with a cell camera. But I hope this inspires you to make some of your own! This type of origami is in essence very easy to make but takes a lot of time and effort to make. However if you get really good at it, you can do it without even looking at ab...

News: Orderly Tangle Earrings

I decided I would make those earrings I alluded to in Monday's Post on orderly tangles. I had to shrink the templates down so that the triangles are about 2 cm on a side. I used 110 lb cardstock and and painted them using metallic leafing paint in gold, silver, copper, and brass. I would put up a tutorial, except I think that this project would be too frustrating for most people. All I can suggest is that you make the orderly tangle of 4 triangles multiple times and just keep shrinking the si...

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: Modular Origami

Cory has posted some great picture of Father Magnus' intersecting cubes (the great man is holding one in his right hand) - well the above is what happens when five tetrahedra intersect. It is modular origami and made from just ten sheets of origami paper. technically in a folding sense it is easy - but putting it together is mind-warping

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.

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...

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: Rotating Mirror Stellated Octahedron

The initial idea for this project was to use magnets in the tips of the stellated octahedron and the intersections of the metal rings for either suspension or even a sort of weightless rotation. This turned out to be a bit too ambitious considering I'm working with found mirror and hot glue. So instead, I scrapped the magnets and went with simply mounting it on a skateboard bearing so it can freely rotate and not be bound to the base.

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.

News: Cyriak Harris' Fractal Freakiness

I'm sure many of you have already seen this, but being Halloween and mathematically inspired, I thought I'd dig up an old favorite for those who may have missed it. Original post with quote from Cyriak here. More fractal hands: Tim Hawkinson's "Fruit" Series

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.

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.

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!

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.

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