Ricktu has got a great idea to design a single line with contiuous cross section 3D fractal. It prints well when sliced with cura, but is not perfect when sliced with slic3r.
I then designed my own under openscad. It's a quite simple very small code using a recursive module.
Please, watch the video to see it printed and you'll get the idea of this fractal spiral mode object ! https://youtu.be/ihfkdBEPOOo
As it is designed with Openscad it becomes a customizable object where you can parametrize the width of the smallest pyramid and the fractal order.
The one you see in the first picture has been printed with a 3mm radius and a fractal order of 5. It's already a big object of 135mm which printed during 9 hours and 30 minutes.
[size = 3 order = 5] will buid a pyramid = 2^5 x 1.414 x 3mm = 135 mm of side lenght
EDIT 171117 : fixed a bug, now slices perfectly at size = 2
fractal_sierpinski_spiral.scad | 1.7KB | |
fractal_sierpinski_spiral_order3.stl | 1.1MB | |
fractal_sierpinski_spiral_order4.stl | 6.3MB | |
fractal_sierpinski_spiral_order5.stl | 37.3MB |