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Fractal Pyramid with Continuous Cross-section 三角金字塔
Fractal Pyramid with Continuous Cross-section
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by ricktu, published

Summary

No supports. No bridging. No retractions.
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

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.

Print Settings

Printer Brand: RepRap

Printer: prusa i3

Rafts: Doesn't Matter

Supports: No

Resolution: 0.2mm

Infill: 0%


Notes:

Printed with the "spiralize the outer counter" option in Cura . The original scale is to match the limit of a 0.4mm nozzle..