Koch Snowflakes

by pmoews, published

Koch Snowflakes by pmoews Nov 12, 2012

Featured Thing!

2 Share
Download This Thing! Customize Order This Printed Tools & Utilities

Thing Info

19983Views 9050Downloads Found in Math Art
Report Thing


Koch snowflakes are created by successively extending the sides of a triangle. I found a very nice description of the Koch method and a fortran program that was used to calculate all the examples given below at:


Enseeiht is a French engineering school in Tolouse and the author of the article is Alain Schuler.

Koch Snowflake by gadgetguydk, (thing:1039), is a composite of three stages of Koch iteration of a triangle and Koch curve/snowflake by Cross, (thing:3166), is an embroidered version. Koch_composite_color_1.stl and Koch_composite_color_2.stl, available below, is a two color version of the same composite for the Replicator.

Koch_three_snowflake.stl and Koch_four_snowflake.stl are monochrome examples of the Koch curve after 3 and 4 iterations of a triangle. The curves have been pierced with holes so that they can be hung as ornaments. The openSCAD programs that created the snowflakes are provided and they can be easily modified to create numerous variations.


Koch_three_snowflake.stl and Koch_four_snowflake.stl can be printed on a raft or directly on the build platform.

More from Math Art

view more

Thing Info

19983Views 9050Downloads Found in Math Art
Report Thing


Liked By

View All


Koch Snowflakes by pmoews is licensed under the Creative Commons - Attribution license.

Give a Shout Out

If you print this Thing and display it in public proudly give attribution by printing and displaying this tag. Print Thing Tag

All Apps

This App connects Thingiverse with Makeprintable, a cloud-based mesh repair service that analyzes, validates and repairs most common mesh errors that can occur when preparing a 3D design file for p...

App Info Launch App

Kiri:Moto is an integrated cloud-based slicer and tool-path generator for 3D Printing, CAM / CNC and Laser cutting. *** 3D printing mode provides model slicing and GCode output using built-in...

App Info Launch App
KiriMoto Thing App

With 3D Slash, you can edit 3d models like a stonecutter. A unique interface: as fun as a building game! The perfect tool for non-designers and children to create in 3D.

App Info Launch App

These are lovely. I printed the multipart one on a Replicator 2, but we just couldn't get the center pieces into the outside one and ended up breaking it. I will try again.

Yippee... Thx for the DXF ... cannot wait to try 'em out...

Added dxf files which were generated from the openSCAD code by omitting the extrude commands to give a 2d object - hope they

Any chance of also posting DXF files from your 3D program for us poor folk with a laser engraver....  ???  thx in advance