I am attaching three folio sketches to this blog. The first depicts a sting ray motif that is able to be tiled in two symmetry groups. The second is a lizard tiling that is a variant of the tiling I used on the print "One World". They are all three related by their symmetry groups. The lizard tiling can be tiled as a D1 gg or D2 kgkg with a slight variation. Its fascinating seeing some of these tiles that are able to tile the plane in two ways with the same motif.
The following post will include an example of a spiral tessellation. I am unaware of any symmetry groups that describe spirals. This tessellation is based on a P1 tile of an owl. I have called it an S1 symmetry group. Figure 1 depicts a double spiral tessellation of the owl motif. Figure 2 depicts a page from my sketchbook of the original idea. This is translation and I choose the double as it seemed more interesting than a single spiral. This design is similar to the lizard in my print "One World" since it covers the sphere in a spiral. I am researching some ideas into multiple motif spirals and different ways to combine them.
There are a number of life-like single tile tessellations that have multiple motifs. This blog describes a tile that has three different motifs, two bird designs and one fish design. Multiple motifs are not common but there are a number of them that have been created. These three motifs are not unlike some other dual or multiple designs on one tile. This tile is a P4; very similar to Polya's D4o plane symmetry group. Creating dual and multiple motifs is not something that I normally do however this image is very recent. Figure 1 below depicts the concept as I developed it in one of my sketchbooks. Figure 2 depicts a more formal color version of the tessellation. For those that want a challenge try creating a multiple motif tessellation. Its fun and when the motifs are mixed together it becomes complex .
Michael Wilson has been creating tessellation art for over 30 years and is preparing this blog to share thoughts on the subject.