# Symmetry Group Pg — For all Soccer Fans

This symmetry group uses two parallel glide reflections. The glides can be either vertical or horizontal. Continue reading

# Symmetry Group P2

There are only 17 methods to divide the two dimensional surface into true tessellations. These 17 rules were derived from the observation and study of crystallography, a long time ago.   Continue reading

# KaleidoPaint tricks I’ve learned

I am assuming you have read all of the help files within the KaleidoPaint iPad App. It’s not very complicated. Go read it. Continue reading

# Symmetry Group P6

This tessellation is laid out around a matrix of hexagons, a honeycomb. There is one 6 point rotation, one 3 point rotation and one 2 point rotation. Continue reading

# Symmetry Group P1

Most simple of all symmetry systems. A translation of your design both vertically and horizontally. That’s it! Continue reading

# Sharing areas within a tessellation — dual purpose space

It’s so nice to share with your friends! Sometimes when I am drawing, Continue reading

# Symmetry Group Pmg

Are we ready for another creative brain gym session? These Pmg tessellations are built around two different glide reflections, one mirror, and two rotation points, Continue reading

# Symmetry Group Pgg

This symmetry group is one of my favourites, as it uses glides as well as rotations in its construction. No mirrors here, so the tessellated figures do not need to be bilaterally symmetric constructs. Continue reading

# Symmetry Group P31m

Symmetry Group P31M can easily be confused with P3M1 which has 3 different mirror reflections. I’ve made the mistake often Continue reading

# Symmetry Group P3m1

Images formed in a 3 mirrored equilateral triangle kaleidoscopic shape. Here as well, bilateral symmetry is at play. Three figures reflected in their 3 different mirrors, all 3 lines joining in the middle of the Continue reading