A rain chain in winter; Dresden Kunsthof Passage; Drainage planters near Pike Place Market in Seattle.
If there is a larger takeaway here perhaps it is about paths of least resistance, with regards to both the actual flow of water and design decisions. On the one hand, it is easy to blindly follow regional precedents and traditions with long histories (or grab whatever is handy at the hardware store). On the other hand, sometimes it makes sense to take a step back and decide consciously how to reveal (or conceal) a natural process.
Medusa from A Naturalist’s Rambles on the Devonshire Coast by Philip Henry Gosse, 1853.
Philip Henry Gosse’s Stunning 19th-Century Illustrations of Coastal Creatures and Reflections on the Delicate Kinship of Life
“These objects are, it is true, among the humblest of creatures that are endowed with organic life… Here we catch the first kindling of that spark, which glows into so noble a flame in the Aristotles, the Newtons, and the Miltons of our heaven-gazing race.”
Rain chains are a beautiful and functional alternative to traditional, closed gutter downspouts. Guiding rain water visibly down chains or cups from the roof to the ground, rain chains transform a plain gutter downspout into a pleasing water feature. From the soft tinkling of individual droplets to the soothing rush of white water, they are a treat to listen to.
Rain chains (‘kusari doi’ in Japanese) in concept are not a new idea. For hundreds of years, the Japanese have used the roof of their homes to collect water, transporting it downward with chains and finally depositing the rain water into large barrels for household water usage. Japanese temples often incorporate quite ornate and large rain chains into their design.
Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them.
The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern.
In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem.