Fractal Pyramid with Continuous Cross-section

Fractal Pyramid with Continuous Cross-section

by ricktu · from Thingiverse
Free to print ♥ 8,952 likes ↓ 106,182 downloads

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It has the astonishing property that the horizontal cross sections are simply connected and change continuously with height, so can be printed perfectly with spiral mode (or single-walled without infill).

![cross section animation](http://i.imgur.com/joIJCP0.gif)

This fractal is half of the octahedron flake (or Sierpinski octahedron). Every triangular face is a Sierpinski triangle, and the base of the pyramid is (approximately) a space-filling curve called the Sierpiński curve. Figures like the Vicsek fractal also exist in this model.

fractalpyramidsierpinskiTriforce

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