Symmetry Group Pm – alternating parallel mirrors

This symmetry group is the last one for me to tackle. It has been a year since I started tessellating again, since I found the KaleidoPaint iPad app. About 170 drawings, not all of them successes. The better ones have been posted here. This specific method was not really inspiring, as I am not a big fan of mirrors. The drawings always seem constricted, rigid.

In the drawing below, the thunderbird figure shows that you can indeed stray between the mirrors, but anything you draw will end up looking like two stacks of items. It was not necessary for me to flip the figures upside down, but they seemed to fit better in there. Four on one side –The Hiker/Draft Dodger, the Native Chief, The Spirit Bear, The Thunderbird, and two figures in the other direction – The Logger, The Retiree with her Punter. They’re not stacked in necessarily the correct arrival order.

Symmetry Group Pm-Island-Inhabitants

Symmetry Group Pm-Island-Inhabitants

The Pm group lends itself well to draw totem poles, as shown in the example below. Symmetrical alternating stacks of figures. In this case, Beaver, Raven and Spirit Bear.

Symmetry Group Pm - Spirit-Bear,-Beaver-and-Raven

Symmetry Group Pm – Spirit-Bear,-Beaver-and-Raven

And in this last example, “Mickey and the Reapers, in concert”, the stack of figures is not as apparent (possibly because of the close crop), but notice there is unused “negative space”, dual purpose, the back of the crowd/cape. Not really a true tessellation in my definition. Guess we could dub this symmetry group the crowded totem group.

Symmetry Group Pm - Mickey-and-the-Reapers-in-concert

Symmetry Group Pm – Mickey-and-the-Reapers-in-concert

Enough for now.Get out there and tessellate!

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!

2 thoughts on “Symmetry Group Pm – alternating parallel mirrors

  1. Pingback: Symmetry Group Pm – alternating parallel mirrors | champagnedesign

  2. Pingback: Fifi at the Salon tessellation | My tessellations, images in regular division of the plane

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