Mathematics

3D Printing Knots at the Unknot Conference

3D Printing Knots at the Unknot Conference 640 480 mathgrrl

At this year’s UnKnot conference, Lew Ludwig and Chris Faur set up two 3D printers: a Ultimaker 2E+ and a Formlabs 2, including a UV-light drying station with a solar rotating stand. During the conference, mathematicians designed and 3D printed original models of pretzel knots, hyperboloid stick conformations of torus knots, hexagonal mosaic tiles, and rolling trefoils… // Guest post at Ultimaker Education

Girih Tiles for Interactive Islamic Designs

Girih Tiles for Interactive Islamic Designs 628 472 mathgrrl

Girih tiles are used in Islamic art and architecture to create intricate woven strapwork patterns. Their underlying periodic patterns are related to Penrose tilings and predate the formal mathematical discoveries of such tilings by at least 500 years. The basic colorful tile shapes determine overlaid strapwork in the middle, which is accented on the right by concealing the colorful tiles with gray ones… // Hacktastic

3D-Printable Pentagon Tessellations

3D-Printable Pentagon Tessellations 628 472 mathgrrl

If you love pentagons then 2015 was a pretty good year for you, because a new pentagon was discovered! To be more precise, mathematicians Mann, McLoud, Von Derau found a previously unknown convex pentagon that can tessellate the plane. With our new Pentomizer you can use pentagonal tessellations to make pictures, patterns, puzzles, textures, wallpaper, desk ornaments, and cookie cutters… // Hacktastic

Pi Day + OpenSCAD Celebration!

Pi Day + OpenSCAD Celebration! 640 480 mathgrrl

Celebrate! First, yesterday the new version of OpenSCAD was released! Second, Saturday will be Super Pi Day: March 14, 2015. To celebrate both of these things simultaneously, today’s model is a pi-flavored illusion cup that was made using some of the new features in OpenSCAD. Most people will think the cup is taller than it is around, but in fact it is shorter than its circumference. And we can prove it… // Hacktastic

Of Math and Meshes

Of Math and Meshes 640 480 mathgrrl

This new Mesh Collector is a repository for information about the topology and geometry of triangulated meshes. It’s a work in progress that I hope to add to over time, as I learn more about these things. This is the Schönhardt polyhedron, which is the simplest example of a non-tetrahedralizable polyhedron, meaning that it cannot be subdivided into tetrahedra that share its vertices… // Hacktastic

Polyhedral LEDs, Step 2: Tinkercad

Polyhedral LEDs, Step 2: Tinkercad 1024 816 mathgrrl

This is the second in a series of posts that walk through the 3D design construction of some Polyhedral Light String Ornaments. In this step we’ll scale that Snub Cube to “ornament size.” Along the way we’ll have a chance to learn about Tinkercad’s importing, scaling, and the Ruler and Align tools. Tinkercad is one of the simplest ways to make or modify 3D models… // Hacktastic

Trigonometry Style

Trigonometry Style 835 629 mathgrrl

Last summer we designed a series of customizable bracelets with trigonometric shapes. Today we have more general code for even crazier bracelets, including ones with oval shapes, gaps to make wrap-style instead of bangle-style, flares, low-poly sampling, and crazier trigonometric combinations. The crazy thing is that every one of the bracelets shown above was created with the same code… // Hacktastic

Menger Menagerie

Menger Menagerie 1024 768 mathgrrl

I swear that this blog is not going to be only about Menger sponges. However this One Last Post About Menger Sponges is about Menger sponges. Lots of them, in fact. And we’re going to put our 3D-printing boots back on! Today’s models are collection of Menger sponges with different Levels and slices, designed to print effectively on various types of printers… // Hacktastic

Mega Menger!

Mega Menger! 640 480 mathgrrl

The NYC Level 3 MegaMenger sponge at MoMath is done! That makes us one of 11 locations so far that have finished a Level 3 Menger sponge as part of the worldwide MegaMenger project. At the moment at least 10 additional Level 3 sites are still in progress, as well as numerous completed Level 1 and 2 sites, which puts the project at 77.4 percent complete… // Hacktastic

The T-word

The T-word 640 480 mathgrrl

Tape. It is not allowed. Origami models are traditionally made with one piece of paper (Robert Lang has some amazing examples) that is only folded – never glued, taped, or cut. Modular origami follows the same rules – no glue, tape, or cutting – but allows multiple pieces of paper (Tokomo Fuse makes beautiful modular designs). But guess what, I’m not Tokomo Fuse or Robert Lang, and neither are you… // Hacktastic

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