• R4 = 126.96.36.199 (4 squares around a single vertex type);
• R6 = 6.6.6 (3 regular hexagons around a single vertex type);
• R3 = 188.8.131.52.3.3 (6 equilateral triangles around a single vertex type).
Note that R4 is its own inverse while R6 and R3 are the inverse of each other.
• S84 = 8.8.4 (2 regular octagons and a square);
• SC3 = 12.12.3 (2 regular dodecagons and an equilateral triangle);
• S63 = 184.108.40.206 (alternating hexagons and equilateral triangles);
• S43 = 220.127.116.11.3 (squares and equilateral triangles giving tetrad symmetry);
• S44 = 18.104.22.168.3 (squares and equilateral triangles clumped in diad symmetry);
• S633 = 22.214.171.124.3 (a twisted regular hexagon surrounded by equilateral triangles in 2 different configurations);
• S643 = 126.96.36.199 (a regular hexagon separated from an equilateral triangle by squares);
• SC64 = 12.6.4 (a regular dodecagon, regular hexagon and square around each vertex).
There's another simple grid included with just 3 regular polygon faces but having 2 different vertices. So it isn't a pure semi-regular one. Can you find it (and its derivatives)?
Once we enter this transitional stage, of multiple vertex types, there are a great many other grids. There are also a lot of fascinating irregular grids (where the individual polygons are not quite regular but still have some symmetry and combine together well into a repeating lattice).
The colours are not significant in this type of design. The white should be white or a relatively pale colour. The dark shade can be anything relatively dark down to black. The middling shade merely needs to be somewhere in the middle (possibly on the lighter side). Currently displaying it in the original geometric contest colours.
|contest 142 colours||spring greens||aqua + teal|
• colour-coordinating designs
• more contest palettes
• other design combinations
• design index
What we do and how we do it.
Wallpaper Coverage Calculator
Based on the dimensions you provide, this calculator will determine the number of custom-length sections of paper you'll need to cover any surface. If the height of your surface varies, input the tallest dimension in order for the pattern to line up correctly.
Enter your dimensions in feet (1 foot is 30.48 cm).