A diversity within its unity The vital power of an imaginative work demands a diversity within its unity; and the stronger the diversity, the more massive the unity. Dorothy Sayers, The Mind of the Maker diversity
The heat death of design Losing the design diversity means falling into a singular narrative of how design must be done, which grants unfair and self-reinforcing advantage to the mainstream while discouraging, stifling, or even punishing the idiosyncratic designers who bring unorthodox but remarkably innovative processes to the table. The true opportunity cost is the diverse future that humanity can no longer access. A future without diversity is fundamentally stagnant: imagine designs so standardized that you can’t tell them apart. While every design is guaranteed to be good, none will be great. New designs are marginally better than previous ones with the rate of improvement eventually approaching zero. We have reached the heat death of design. Chuánqí Sun, The vanishing designer diversity
Obsessed with absolute numbers Modernist planning was obsessed with absolute numbers, including the minimum dimensions of rooms, open space per capita, and the one-size-fits-all head counts of neighborhood units. This was often pegged at five to seven thousand and was used as a formula for determining the distribution of schools, shops, sports fields, and other facilities. The failure of such planning is not in its effort to be comprehensive or to equalize access to necessary facilities. It is, rather, the attempt to rationalize choice on the basis of a homogeneous set of subjects, a fixed grammar of opportunities, a remorseless segregation of uses, and a scientistic faith in technical analysis and organization that simply excludes diversity, eccentricity, nonconforming beauty, and choice. The utopian nightmare. Michael Sorkin, 20 Minutes in Manhattan Desired qualities of lightPredicted Mean Vote planningmetricsdiversity
The number of ways in which things work The importance of diversity is not so much the number of elements in a system; rather it is the number of functional connections between these elements. It is not the number of things, but the number of ways in which things work. Bill Mollison, Introduction to Permaculture diversityconnectionnetworkssystems
Exuberant diversity in a city's streets To generate exuberant diversity in a city’s streets and districts, four conditions are indispensable: The district, and indeed as many of its internal parts as possible, must serve more than one primary function; preferably more than two. These must insure the presence of people who go outdoors on different schedules and are in the place for different purposes, but who are able to use many facilities in common. Most blocks must be short; that is, streets and opportunities to turn corners must be frequent. The district must mingle buildings that vary in age and condition, including a good proportion of old ones so that they vary in the economic yield they must produce. This mingling must be fairly close-grained. There must be a sufficiently dense concentration of people, for whatever purposes they may be there. This includes dense concentration in the case of people who are there because of residence. Jane Jacobs, The Death and Life of Great American Cities diversitystreets
Wang tiles 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. Wikipedia en.wikipedia.org Truchet TilesThe Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy mathalgorithms