Deciding which symmetry group to use for a specific design can be hit and miss. And try again. You can narrow it down by establishing if your design needs bilateral symmetry. This would eliminate 7 mirrorless groups out of a possible 17. Or whether you want rotations. Glides add a flowing movement to the design. Your choice. Have a look at the table below, it may help guide your efforts.

17 Symmetry Groups — Cheat Sheet (http://comments.gmane.org/gmane.comp.graphics.inkscape.devel/38339)
2016-10-31 : I have since created a new “Cheat Sheet” of my own. Please read “Symmetry group thumbnails and listing systems“.
A challenge would be to complete a Hummingbird tessellation in all 17 symmetry groups. I’m more than halfway there. A hummingbird series has been created in the following symmetry groups: P4g, P6 (2 of those), Cm, P2, Pmm, P3m1, P4m, Pg, and Cm. Some are sketches that will probably never be completed. Some of them are superb colourful, flowing designs. Send me your hummer and I’ll post it here!
Lots of software out there to help you accomplish this type of design.
An iPad app is available, which is what I have used here to create these images: KaleidoPaint by Jeff Weeks.
There is also a java-based program “Escher Web Sketch” at the Ecole Polytechnique de Lausanne. Make sure Java is enabled and not blocked by your security software.
Also, another screen-based software by Anselm Levskaya Escher Sketch v2.
Or a pair of scissors and a piece of cardboard works quite well. That’s how I learned.
Comments are always welcome!
If you’re a “Learn by Seeing” “Learn by Doing” kind of person, I’ve started creating videos on “how-to” create tessellations. I’ll be covering each of the 17 symmetry groups, one class at a time. And like all artists, we need to make a living. So. I’ve uploaded these to the Skillshare platform. I’ll get paid by minutes watched.
You can take the classes for free. Skillshare offers anywhere from 2 weeks to a month for free if you sign up, even temporarily.
You can register for just a month and cancel anytime. It’s less than the cost of a Netflix subscription! And you can still stay put on the couch. There are over 40,000 classes on topics for creative persons just like you. Join my mailing list, either here on my blog (in the sidebar), or a at this link for a specific list I use to announce new classes.
I’d love for you to join me on this wonderful learning adventure.
If you prefer, you can follow my progress on social media, I always announce my new class:
Facebook: Franc Champagne, and Vancouver Island Tessellation Artist
Instagram: champagne.francine
Twitter: FChampagne1
Linkedin: Graphic Design, PowerPoint and tessellations
Youtube: Video animations and class intros
My classes have received an independent rating of 9.7/10, placing these Skillshare classes in the TOP 2% of classes reviewed by CourseMarks!
🙂
Here is a list of the classes up so far:
- Rekindle your Love of M.C. Escher Tessellations, draw your own tessellations using a free iPad App. In this class I introduce the concept of tessellations, show you the work of M.C. Escher as well as other artists. Then we dive into a first symmetry method, P4g, accomplished by drawing only one line to create the perimeter of your tessellation.
- Just like M. C. Escher’s Tessellations: Draw Using a New Symmetry Method and Your iPad. We tackle the Mirrored Triplets symmetry group, aka P3m1.
- This UP/DOWN, LEFT/RIGHT Tessellation method was M. C. Escher’s favorite. It is also the symmetry method, P1, most taught in schools. Probably the only way most artists have tried to accomplish a nested shape. We will push it a tad farther, but also easier than scissors and cardboard.
- M. C. Escher Tessellations: The Three Cozy Buddies Symmetry Group, know as symmetry group P3. Lots of examples, from many different tessellation artists. One of my favorite ways of creating tessellations.
- Digital Patterns: Super Simple Quickie Patterns. 20 patterns in 30 minutes! I will show you how to draw and assemble your pattern design elements in four different and unusual ways. Come explore the possibilities, from a different point of view using your iPad and the free KaleidoPaint app. There is more to symmetry than rigid repeats, half-drops and tossed layouts.
- My next class with deal with a symmetry group I have named: “This way — that way”, aka crystallographic notation Pg. That Koloman Moser video above, is part of the series.
Hi, I was wondering about cmm symmetry? How do I identify it?
A Cmm tessellation is built within a 30 / 60 / 90 degree triangle. It has mirrors on the 2 short sides and a two-fold rotation on the hypotenuse. Usually two figures with bilateral symmetry, at ninety degrees to each other. See the post on the topic: http://canyousee.ca/2015/06/04/symmetry-group-cmm/
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