45° sectioned Level 2 Menger Sponge

thingiverse

This is my 45° sectioned Level 2 Menger Sponge, one of a kind. Many others exist, but this one belongs to me. Constructed by intersecting three 2D gaskets, the OpenSCAD code holds more interest than the object itself. I've also included a 2D gasket design projected onto the XY plane because it's visually appealing. This creation was designed and printed at Protolab in Toronto. Print Settings: Printer Brand: Printrbot Printer: Simple Black Rafts: No Resolution: 0.25 mm Infill: 20% Notes: Test printed using dark blue PLA at 195°C. How I Designed This This model is built in OpenSCAD differently from most Menger cubes: Generate a cube with side length s, centered at [½s, ½s, ½s] with Sierpinski gasket holes "drilled" parallel to the Z-axis by extruding a square that has had nine holes cut from it. Draw three of those extruded Sierpinski cubes, each one translated to be parallel to the X, Y, and Z axes. Intersect those three extrusions to create a Menger sponge. Translate the Menger sponge to center it on the origin. Rotate the centred Menger sponge to align with the point; (which is not a rotation of [ -45°, -45°, 0 ], as one might initially assume …) Draw a suitable shape whose top surface is the XY plane; (I chose a cylinder with radius and height s, centered at [ 0, 0, -½s ], but you may choose differently) Subtract the suitable shape from the Menger sponge, leaving a section with seven six-pointed stars.