Mathematics
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Level Two
Level Two 640 480 mathgrrl
Time to level up! There are many ways to assemble a Level 2 from Level 1’s. One way is to use more general forms of tripods; this is what Jeannine Mosely’s Level 3 sponge project did. We need something quicker, more accessible, easier for everyone working on the project, and that really shows off fractalness. The idea we have may or may not work, but either way this has “hacktastic” written all over it… // Hacktastic
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Julia set
Julia set 558 422 mathgrrl
Juila sets can be realized by an inverse-iteration method which is self-correcting; wherever you start from, this process will lead you closer and closer to the Juila set, and if you make a mistake then further iterations will get you back on course. Glen Whitney had the genius idea of making a clock-like linkage that takes square roots of complex numbers to enable this inverse iteration… // Hacktastic
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Level One
Level One 640 480 mathgrrl
Today we continue our step-by-step walkthrough of building a Level 4 Menger cube out of business cards. If you want to join the fun then sign up now at www.megamenger.com. You can help with an official Level 3 build site, contribute a Level 2, be your own Level 2 mini-site, or even take part as a Level 1 micro-site. Things get interesting when you attach the cubes together… // Hacktastic
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Level Zero
Level Zero 640 480 mathgrrl
Time to begin again: new blog, new rules, and a Level 0 Menger sponge – better known as a “cube”, or “hexahedron” if you’re fancy. This cube is made out of six folded business cards, and it is going to join 159,999 other folded business-card cubes in the completely crazy, unreasonable MegaMenger project to build a worldwide distributed Level 4 Menger sponge… // Hacktastic
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Day 269 – Minimal stick conformation of 4_1
Day 269 – Minimal stick conformation of 4_1 640 480 mathgrrl

The figure-eight knot 4_1 is the only four-crossing knot, and it is usually drawn like the white knot on the left in the figure below. It is also the only…
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Day 268 – Tritangentless conformation of 3_1
Day 268 – Tritangentless conformation of 3_1 640 480 mathgrrl

The trefoil knot 3_1 is the only three-crossing knot, which means that every other knot that can be drawn as a projection in the plane with three crossings (and no…
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Day 267 – Crazy conformation of 0_1
Day 267 – Crazy conformation of 0_1 640 480 mathgrrl

Today we’ll start going through the knot conformations in the series we introduced yesterday. Before we begin, let’s go over some of the basic notation and ideas of knot theory.…
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Day 266 – 3D Printed Conformations of Knots
Day 266 – 3D Printed Conformations of Knots 1024 768 mathgrrl

The final project for this semester’s MATH 297 – Knot Theory Research and 3D Printing course was to research and print a set of interesting knot conformations for the first fifteen knots…
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Day 265 – Cairo and prismatic pentagons
Day 265 – Cairo and prismatic pentagons 640 480 mathgrrl

Today we fix our fail from Friday (Day 263), and print Cairo pentagons and prismatic pentagons from data kindly provided by Frank Morgan’s student Maggie Miller at Williams College. I have…
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Day 257 – Saturday Guest: Scott Sherman’s Isohedra
Day 257 – Saturday Guest: Scott Sherman’s Isohedra 594 516 mathgrrl

Today’s post is contributed by Scott Sherman, otherwise known as loki3 on Shapeways, where he has a wide variety of exotic dice models, including a new kind of d4 and even…

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