Koch Snowflakes

thingiverse

The process of generating Koch snowflakes involves successive side extension of triangles. An excellent description of the Koch method, along with a Fortran program for calculating examples, is available at http://hmf.enseeiht.fr/travaux/CD9900/travaux/optmfn/hi/00pa/mfn16/part2.html; the site features Alain Schuler from the French engineering school in Toulouse, Enseeiht. gadgetguydk's Koch Snowflake (thing:1039) showcases a composite of three stages of Koch iteration, while Cross' Koch curve/snowflake (thing:3166) is an embroidered version. Two-color versions for the Replicator are available as Koch_composite_color_1.stl and Koch_composite_color_2.stl. Monochrome examples of the Koch curve after 3 and 4 iterations of a triangle can be found in Koch_three_snowflake.stl and Koch_four_snowflake.stl, respectively; both are ornamental with pierced holes for hanging. The openSCAD programs for creating these snowflakes are provided and easily modifiable. When printing the Koch_three_snowflake.stl and Koch_four_snowflake.stl files, they can either be placed on a raft or directly on the build platform.