Tiling Tools and Apps
Periodic Tiling Resources
- Grid Paper
Image to Lithophane - Texture Roller (When set for Solid Cylinder)
- Ashlar, Download Whole Pattern:
Click the "Export as SVG" button to download a large section of the repeating pattern.
Convert the SVG format to an easier to use format like Adobe Illustrator with an online conversion tool.
Import the .ai file into another design software for editing and/or printing.
Laser Cut paper stencils for Slip resist
Laser-Etched design tiles for pressing into clay, or for use on their own
Input for curve-based geometry in Rhino or another 3D Modeling software.
Ashlar, on Github (code-sharing platform)
- Orbifold Notation (wikipedia) for symmetry groups
- Rhino/Grasshopper Plugins
Tessellating Cookie Cutter Project
Goto the Ashlar tile design app
Use the Editor window to change the edge profile.
Try out different tessellation patterns in the "Tiling Type" Menu
modify Scale to get a good preview of it as part of a large and small array.
Things to watch out for a clay tile cutter
avoid tiny details
avoid sharp, thin parts
Save the Base Tile: Right Click on the single Tile Preview, "Save Image As..." and give it a distinctive name.
Sign in or create a login
Import the single Tile Preview
Size: 100mm - 125mm (4-5 inches)
Height: 16mm (.63 inches)
Thickness: 1.5mm ( thin)
Download your 3D file
Set Print Fill to 75%. This will make the cookie cutter solid, rather than double walled with a bit of infill.
Prints will take about 1 hour each, and may not be able to fit together.
Clean the brim off the bottom edge after printing.
Get a small pile of Corn starch
Dip the tile cutter in Corn Starch, like you would use flour with a cookie cutter
Press the Cutter down uniformly. A small ware board on top does this nicely
Modular Tiling Resources
Truchet Tiling: https://dmackinnon1.github.io/truchet/
Wang Tiling: http://www.cr31.co.uk/stagecast/wang/stage.html
Penrose Tiling: http://craftdesignonline.com/penrose/
Girih Tiling: http://girihdesigner.com/
Truchet Tiling (wikipedia)
Bridges papers on Truchet tiling
Play Truchet: Using the Truchet Tiling to Engage the Public with Mathematics, Cindy Lawrence, National Museum of Mathematics, New York, NY, USA, http://archive.bridgesmathart.org/2018/bridges2018-359.pdf
Infinitely Variable Tiling Patterns: From Truchet to Sol LeWitt Revisited, Robert J. Krawczyk, http://bitartworks.com/paths01/Patterns_2020.pdf
Multi-Scale Truchet Patterns, Christopher Carlson, Wolfram Research, Champaign, Illinois, USA, https://archive.bridgesmathart.org/2018/bridges2018-39.pdf
https://github.com/ciaron/multiscale-truchet - project implementing Multi-scale Truchet Patterns
Wang Tiling (wikipedia)
Wang Tiles, Introduction, http://www.cr31.co.uk/stagecast/wang/intro.html
Girih Tiling (wikipedia)
The Tiles of Infinity, Sebastian R Prange, Aramco World, Volume 60 Number 5, https://archive.aramcoworld.com/issue/200905/the.tiles.of.infinity.htm
Penrose Tiling (wikipedia)
B. Grünbaum and G. C. Shephard, Tilings and Patterns, W. H. Freeman & Co., New York, NY, 1987.
K. Critchlow. Islamic Patterns: An Analytical and Cosmological Approach, Inner Traditions, Rochester, VT, 1999. ISBN 9780892818037
Tiling Database, Brian Wichmann and Tony Lee, http://tilingsearch.org/index1.htm
Generalizations of Truchet Tiles, K Mitchell, Bridges 2020 Conference Proceedings, 2020, https://archive.bridgesmathart.org/2020/bridges2020-191.pdf