Mathematics

Day 180 – Diamond Borromean

Day 180 – Diamond Borromean 640 480 mathgrrl

Same as Day 179 but with diamonds instead of ellipses! This version of the Borromean rings has more limited mobility but that restricted movement makes it naturally sit on your…

Day 179 – Tricolor Borromean rings

Day 179 – Tricolor Borromean rings 640 480 mathgrrl

Yesterday we mentioned that you could print a three-color model of the Borromean rings by printing the rings separately and placing the first and second in and around the third right…

Day 178 – Borromean rings

Day 178 – Borromean rings 640 480 mathgrrl

When I give talks about 3D printing and knot theory, I often tell the story of my student Olivia who created and printed a 3D model of the Borromean rings…

Day 174 – MAA icosahedron

Day 174 – MAA icosahedron 640 480 mathgrrl

In a couple of days I’ll be speaking at the Carriage House, the headquarters of the Mathematical Association of America. Since the MAA’s logo is an icosahedron, I’ll be bringing…

Day 172 – Mobius Heart

Day 172 – Mobius Heart 640 480 mathgrrl

Happy Valentine’s Day!  In celebration, today we made a Möbius strip in the shape of a heart. The OpenSCAD code was kindly provided by kitwallace. From the side you can…

Day 171 – Sliced Menger 3: Triangles

Day 171 – Sliced Menger 3: Triangles 640 480 mathgrrl

The Menger slices from Day 169 and Day 170 each divided the cube into two identical pieces. Today we make a a slice parallel to the Starmaker from the first…

Day 170 – Sliced Menger 2: Rhomboidal

Day 170 – Sliced Menger 2: Rhomboidal 640 480 mathgrrl

Lots of people know what the inside of a sliced Menger cube looks like, at least the way we sliced it yesterday. But there are infinitely many ways to slice…

Day 169 – Sliced Menger 1: Starmaker

Day 169 – Sliced Menger 1: Starmaker 640 480 mathgrrl

Today we made a white stand and slice illustrator to accompany the diagonally sliced Level 2 Menger sponge we printed on Day 155.  Don’t look at the second picture until you…

Day 168 – Mobius Trefoil

Day 168 – Mobius Trefoil 640 480 mathgrrl

Using the same OpenSCAD code of kitwallace’s from yesterday, today we made a Mobius-like solid whose cross-sections are triangles and whose boundary is the trefoil knot – that is, the knot…

Day 167 – Umbilic torus

Day 167 – Umbilic torus 640 480 mathgrrl

Today we did not print an umbilic torus.  But we did print a triangular-cross-section mobius strip, which is very close. In yesterday’s post we wished for a way to remesh…

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