6x6 Cube in Cube in Cube in Cube in Cube in Cube

This is a straightforward expansion on the common Cube-in-Cube pattern. I tried to arrange the colors carefully so the same colors wouldn't touch each other at the edges, since this tended to make the pattern look like a broken spiral. Every side has all six colors.

4x4 Power Series

The number of stripes on the first three sides of the 4x4 represent the first three entries in an even power series: 1, 2, 4. As a simple exercise I extended the pattern to a custom-built 2x2x6 cube, but as the series 1, 2, 6.

5x5x5 Dado Rail

The varying-width stripes remind me of the way a chair rail divides a wall between the dado below and the...uh... non-dado part.

But when viewed from a different angle it's easy to see this is just a simple 3-cycle pattern. (More precisely, it's two slightly different 3-cycle patterns.)

5x5 Grecian Urn 2

This string pattern has the same layout as my previous Grecian Urn 1 but with a somewhat more complicated arrangement of colors, so the side faces have four colors each. No two string fragments on the same face are the same color.

Too complicated? Here's a schematic showing how the pieces are laid out on the cube.

5x5 M.C. Escher's Pretzel

M.C. Escher used to draw all sorts of pictures of impossible objects like stairways that ascended in loops and waterfalls that drained into their own tributaries.

If M.C. Escher tried to draw a pretzel, it just might have looked something like this cube pattern.

5x5 Parallels

This string pattern wraps around 4 sides of the cube, leaving the top & bottom blank. The string rises and descends on alternate sides. On the 3x3 there's one string, but on the 4x4 there are two parallel strings, and on the 5x5 there are three parallel strings.

The picture at right shows the reverse sides.

Octahedron Christmas Trees

Okay, there's nothing particularly Christmas-like about this pattern. It's just a vague depiction of a tree, but I chose to call it a Christmas Tree because of the season.

Woolworths used to sell decorations like this back in the 70's when abstract geometric shapes were the "in" thing.