This piece is based on pentagonal geometry. The basic shape is a kite shape, with edge proportions in the golden ratio. This ratio between the edges allows the tile to tile the plane in an infinite number of scales, each time being scaled up or down by the golden ratio. The design uses a single motif of the lizard, but it is present in 2 forms - the basic form, and a mirror image. The mirror image condition is vital to allow the reversal from growing larger to growing smaller, otherwise the tessellation would only permit it to grow in a single direction - either bigger and bigger or smaller and smaller. This mirror condition also forces the edge profile of the tower to be symmetrical, so it can still key into its mirror image tile and tile the plane without gaps or overlaps. Together all these requirements mean that the lizard must be formed from only a single edge profile to all 4 sides, occurring at 2 scales (2 long sides, 2 short sides) which are scaled by the golden ratio.