Dror Bar-Natan's Image Gallery: Symmetry: Tilings:

Brian Sanderson's Pattern Recognition Algorithm

*632 632 3*3 *333 333 4*2 *442 0 442 2*22 22* *2222 22o 2222 *o ** oo Click on a pattern to jump to the corresponding part of my tilings page!

Is the maximum rotation order 1,2,3,4 or 6? Is there a mirror (m)? Is there an indecomposable glide reflection (g)?
Is there a rotation axis on a mirror? Is there a rotation axis not on a mirror?

Click on a pattern to jump to the corresponding part of my tilings page!

Note: Every pattern is identified according to three systems of notation, as in the example below:
A 442 example
442: The Conway-Thurston notation, as used in my tilings page.
p4: The International Union of Crystallography notation.
S442: The Montesinos notation, as in his book Classical Tesselations and Three Manifolds

For sharper printing, this page is also available as PostScript and as PDF.
This page is a modified version of a page by Brian Sanderson. Visit his original page.