Mathematics

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…

Day 166 – Mobius

Day 166 – Mobius 640 480 mathgrrl

Today I spoke with jamesford007, a student at SUNY Geneseo who is spearheading efforts there to bring 3D printing into the study of mathematics. He shared with me his technique…

Day 162 – Sliced level 3 Menger cube

Day 162 – Sliced level 3 Menger cube 640 480 mathgrrl

We are going to be printing a lot of Menger-type objects, I think. Today’s is a level 3, sliced to reveal the stars. Model again by owens on Thingiverse. Here’s…

Day 161 – Level 3 Menger cube on a filament printer!

Day 161 – Level 3 Menger cube on a filament printer! 640 480 mathgrrl

Thank you, owens at Thingiverse!  You have made the impossible possible.  It was great fun walking this print around the math department today, since everyone there knows just how difficult it…

Day 157 – One-piece Menger cube without internal supports

Day 157 – One-piece Menger cube without internal supports 640 480 mathgrrl

The Holy Grail!  Owens’ model Menger sponge with external support prints a beautiful Level 2 Menger sponge with no internal supports. The difficulty with printing a Menger sponge on a filament-deposition printer…

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