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Sixfold Koch Type Fractals

by pmoews, published

Sixfold Koch Type Fractals by pmoews Apr 8, 2013
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Summary

Some decorations based on a Sixfold Koch Fractal

The basic motif is composed of 5 connected lines - see the simple red figure in the image above. To conduct a stage of iteration take each of the five lines and substitute the basic motif. The simple blue figure illustrates one stage of iteration. Two triangles are lost when we carry out this process as they overlap.

After one or more stages of iteration the resulting Koch fractal is expanded by a sixfold rotation to produce the decoration.

Five stl files are included:

basic_motif.stl
motif_iterated_once.stl
Six_fold_fractal_1.stl
Six_fold_fractal_2.stl
Six_fold_fractal_3.stl

The openSCAD code, koch_sixfold.scad is included. It can carry out two more cycles of iteration but the resulting fractals are difficult to print.

Instructions

The openSCAD code is partially parametric in that the length, width, and height of the rectangles that replace the lines can be chosen.

The decorations can be printed with or without a raft.

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