Textures
Percolated fractal structure in a game of Go The Chinese game of Go, developed around 2200 B.C., also demonstrates the percolated structures of fractal geometry at scales of greater then a few squares. Using a 19 x 19 checkerboard and black and white stones, Go players try to capture as much territory and stones as possible until they can make no further advances. The side with the most area and stones is the winner. The patterns that the players create with their moves turn out to be percolated structures. Just as the Monks’ orchard revealed a natural pattern of tree growth and decline, the game of Go models the territorial conquest in the real world.
Hilbert Curve Dimension Reduction
Architecture is said to be the art of the articulation of spaces. And geometry is the architect’s basic tool, but it is not the architect’s system of communication. That system is the defining of object in the surrounding space. Articulation is the geometry of form and space.
Neil Leach, Rethinking Architecture: A Reader in Cultural Theory
subsecreto: AZL architects
Hilbert CurveMathematischer Konstruktivismus
dataurbanism: Adjacency GraphAn Abstract Representation of Spatial Relationships The provinces of Netherlands, it’s adjacency graph representation and a rectangular population cartogram. [Citation] M. de Berg, E. Mumford, and B. Speckmann, “On rectilinear duals for vertex-weighted plane graphs,” Discrete Mathematics, vol. 309, no. 7, pp. 1794–1812, Apr. 2009.
PackeryA Bin Packing Library
dataurbanism: WRIGHT, A Constraint Based Spatial Layout System WRIGHT formulates the problems of generating two dimensional layouts consisting of rectangular design units as a Boolean constraint satisfaction problem. It formulates layout problems as constrained optimisation problems, and solves them by constrained heuristic search effective in the design of two dimensional layout configurations such as site plans, floor plans, facility layouts and the arrangement of equipment in rooms. In spatial layout, topological relations such as adjacency, alignment, grouping, and properties such as shape, dimension, distance, and other functions of spatial arrangement are principal concern. Spatial layout is a design task. It is an important aspect of architectural design and other fields that deal with physical design. [Citation] Baykan, C. A. and Fox, M. S., WRIGHT: a constraint based spatial layout system. In Artificial intelligence in engineering design (Volume I), Christopher Tong and Duvvuru Sriram (Eds.). Academic Press Professional, Inc., 1992, San Diego, CA, USA 395-432.
Shape Grammars and the Generative Specification of Painting and Sculpture G. Stiny and J. GipsProceedings of IFIP Congress 1971
FleenKisrhombille based geometry, grammar and generative machinery for art and whatnot