Keith’s Alternate Chart of Symmetries

Chanced upon Keith Enevoldsen’s chart of symmetries a few months back. I find it very well illustrated to show all 17 plane symmetry groups. With his permission, I have reproduced it here.

What is useful here, other than plane groups, is that he has also included Point Group symmetries, as well as Line Group symmetries.

Point groups are used by many artists and popular these past few years by mandala artists. They use any number of divisions, and very often these are mirrors.

Line groups can be used for friezes, bands, and by ribbon artists. Point and line groups are a good place to start if you want to learn to create nested shapes. That’s where I got my start. Many decades ago.

I have written a few posts on this symmetry chart topic. Here is a list of those previous Plane Groups posts:

Which symmetry group to use? In this blog post I show that you can use many different symmetry groups to accommodate your chosen topic. Not all the results end up aesthetically pleasing — it is a good exercise in stretching your imagination. In this post, I’ve used a favourite topic of mine, hummingbirds.

Symmetry group thumbnails and listing systems is my own cheat sheet for plane symmetry. I’ve used hand icons as the illustrating unit, as I keep on using my own hands when talking about symmetry. Below this cheat sheet, I’ve placed more details in a table, which lists the Orbifold Notation, Wallpaper Group, and the system I’ve used for decades, the Hermann Mauguin Symbols. The last column in the table you will find a very special paragraph explaining the trick required to draw a nested shape.

Create a Nested Shape #Tessellation in any Symmetry Group list all the 17 links to my technical shortcuts, in all 17 plane symmetry groups.


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.

But all is not lost, you can still 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!
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

Check out other tessellation artists around the globe!

David bailey in the UK has an exhaustive list of tessellation artists, much work has been put into his research. Thanks David.

© 2007-2016 Keith Enevoldsen Creative Commons Attribution-ShareAlike 4.0 International License

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.