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How to make a fractal-top prism - Printable Version

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How to make a fractal-top prism - FudgeFlakeNut - 10-05-2023

   

How would one make a prism with the top and bottom faces a 2D fractal such as the Dragon, Sierpinski Triangle or Terdragon? I am making something that uses a combination of prisms in those shapes.

RE: How to make a fractal-top prism - Garth Thornton - 10-05-2023

It depends on the fractal. For a shape with no filled interior, such as the Sierpinski triangle, you can do it in XD with extrusion.
Starting with the Sierpinski, add a holon, set all scales to 100, click the Free Holon and Hide Parent Shape buttons, and use the Extrudez metamorph in Local, adjusting Amount for the height.
If you have a fractal shape that already fills in the spaces solidly, that should work too, though it could be slow as it will get a solid prism, not a hollow one.
If the shape is empty in the interior, you can extrude the outline but I don't know any direct way to get flat top and bottom. If you instead add one or more prisms to be iterated you may be able to fill the shape but not with constant height.

RE: How to make a fractal-top prism - Garth Thornton - 10-06-2023

XD currently allows Extrudez to make a triangular prism. I'm experimenting with future options. The limitation is that the method of closing the top converges towards the center, which is only clean for concave shapes. Otherwise you get extra flat areas outside the shape. Here is an example viewed from underneath.
   

RE: How to make a fractal-top prism - FudgeFlakeNut - 05-18-2025

(10-06-2023, 07:35 AM)Garth Thornton Wrote: XD currently allows Extrudez to make a triangular prism. I'm experimenting with future options. The limitation is that the method of closing the top converges towards the center, which is only clean for concave shapes. Otherwise you get extra flat areas outside the shape. Here is an example viewed from underneath.

Hi, I'm back. I am just getting started with XdX, and am again making fractal-top prisims. Is the method for making a prism any different than what you described earlier for XD?

RE: How to make a fractal-top prism - Garth Thornton - 05-18-2025

The method is similar, except that if you are extruding a fractal or any shape made of multiple holons, instead of a free holon and hiding the parent shape, you put the Extrude Z metamorph on the group holon.

There is still no way to close the top or bottom that doesn't just converge to the center, for an otherwise unfilled outline.

RE: How to make a fractal-top prism - FudgeFlakeNut - 05-19-2025

(05-18-2025, 01:55 PM)Garth Thornton Wrote: The method is similar, except that if you are extruding a fractal or any shape made of multiple holons, instead of a free holon and hiding the parent shape, you put the Extrude Z metamorph on the group holon.

There is still no way to close the top or bottom that doesn't just converge to the center, for an otherwise unfilled outline.
Put the metamorph on the group holon and... it worked! Thanks. I'll post to the forum when I have some completed works, I'm exploring ways to show off the nested structure of self-similar regions of 2d fractals using 3d.  

[Image: mJlh3x7.png]

RE: How to make a fractal-top prism - Garth Thornton - 05-20-2025

Great result!