Loading

Hilbert Curve Coasters

by pmoews, published

Hilbert Curve Coasters by pmoews Mar 24, 2013
0 Share
Download All Files

Thing Apps Enabled

Order This Printed View All Apps

Contents

License

Use This Project

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

Thing Statistics

2307Views 1500Downloads Found in Math Art

Summary

Here are 4 coasters illustrated with images of the Hilbert curve.

The Hilbert curve is usually generated in stages and the first coaster shows four separate curves of first, second, third and fourth orders.

The other three coasters display fourth order curves where individual lines are replaced by larger and larger rectangles. The effect is to create patterns with interesting symmetry.

The four sets of stl files are:

medley_coaster.stl and medley_pattern.stl
four_30_coaster.stl and four_30_pattern.stl
four_80_coaster.stl and four_80_pattern.stl
four_101_coaster.stl and four_101_pattern.stl

The openSCAD code that created the patterns is hilbert_patterns.scad and the patterns it created are in h_dxf.zip as dxf files. The program that created the coasters is hilbert_coasters.scad.

Jbum, thing:14546, has created an attractive music box with a Hilbert curve on the lid and gadgetguydk's entry, thing:1011, contains an image of a high order Hilbert curve.

Hilbert curves were discovered by David Hilbert in 1891. They are an important part of mathematical history and now widely used. You can read about them on Wikipedia.

Instructions

The coasters are squares 90 mm on a side. They should be constructed directly on the build
surface. I used one shell and five percent infill. If the build surface is well leveled the coasters will have an attractive shiny surface.

More from Math Art

view more

All Apps

3D Print your file with 3D Hubs, the world’s largest online marketplace for 3D printing services.

App Info Launch App

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
Top