# Mathematics

### 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

### 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

### 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

### 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

### Day 299 – Tricolored representation of 7_7

Day 299 – Tricolored representation of 7_7 360 270 mathgrrl

Today we are finally at the end of the 15-knot series of knot conformations that we started on Day 266. This one is a tour-de-force, made by printing out separate…

### Day 296 – Spiral conformation of 7_6

Day 296 – Spiral conformation of 7_6 360 270 mathgrrl

The penultimate knot in our series is the knot 7_6, in both standard conformation and the spiral S(5,2,(1,1,-1,1)) conformation from Day 234. Thingiverse link: http://www.thingiverse.com/make:82547 Settings: Makerbot Replicator 2 on .3mm/low with…

### Day 295 – Tangle conformation of 7_5

Day 295 – Tangle conformation of 7_5 360 270 mathgrrl

Just three knots left in the conformation series that we started on Day 266! Today we have the knot 7_5 in a tangle conformation, where you can clearly see the…

### Day 291 – Friday Fail: Crossing change edition, with Pretzel conformation of 7_4

Day 291 – Friday Fail: Crossing change edition, with Pretzel conformation of 7_4 741 556 mathgrrl

The most eagle-eyed of you may have noticed an error in one of the knots in the group photo of the knot conformations series on Day 266. We got one of…

### Day 290 – Cantarella conformation of 7_3

Day 290 – Cantarella conformation of 7_3 1024 768 mathgrrl

Today’s knot conformation takes us back to the beginning of my 3D-printing journey in February 2013, when I got my first 3D printer – still my favorite – a MakerBot…

### Day 289 – Braid representation of 7_2

Day 289 – Braid representation of 7_2 1024 768 mathgrrl

Continuing with the knot conformations series we started on Day 266, today we printed a braid representation of the knot 7_2. Thingiverse link: http://www.thingiverse.com/make:82269 Settings: Printed on a Replicator 2 with…