stairs
The precise construction of relationships
This flight of steps runs up the outside of a Modernist house in Switzerland. What is striking here is the precise construction of relationships. The gaps between steps allow crisp lines of light to fall on the darkly shadowed wall, reinforcing the subtlety of the dialogue between granite and the concrete, which has been bush-hammers to expose the stone aggregates.
Thoughts on stairs
...There is something hypnotic about stair climbing, and as often as I find myself thinking I ought to be at the fourth floor when I am only at the third, I think I've only gotten to three when I'm actually arriving at four.
...To my eyes (and legs) the straight run is more elegant and enjoyable to ascend.
...The narrowing is both functional and artistic, acknowledging that a stair is likely to be used by a smaller number of people as it rises and forcing the perspective narrowing of the long view upward.
...The symbolic weight of stairs is embodied in both their form and their magnitude.
They are something that has been buried
A Quote by Le CorbusierFor two and a half months I did not see a stairway in America. They are something that has been buried...hidden behind a door that you are not supposed to open.
The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy
A pattern of tiles illustrated by Douat in 1722.
A translation is given of Truchet's 1704 paper showing that an infinity of patterns can be generated by the assembly of a single half—colored tile in various orientations.
Separation and connection in all things
Truchet's approach was more topological than geometric, and the qualitative aspects of pattern take priority over the metric ones. His principles provide a kind of metaphor for the hierarchy of separation and connection in all things.
Corpuscles of nothing and atoms of something
The structure of matter devolved ultimately into the intimate coexistence of something like corpuscles of nothing and atoms of something, segregating through the accidents of history to yield regions differing in density intimately interwoven on different scales. The experience of the world as well as human perception and analysis of any part of it is a matter of the angular scale of resolution and of the time necessary for making comparison between the different parts.
Without such variations and without time to compare remembrances of them, nothing can be experiences.
The scale of resolution determines what is seen
The patterns of Truchet's tiles appear at first glance as variously shaped interlocked regions of black and white, the boundaries between the square tiles being submerged whenever the two regions flanking them have the same color, just as in a real floor the air or cement between the tile edges is not perceived—until one looks closely. The scale of resolution determines what is seen.
This is history
It is easy to see how rapidly diversity is developed by the aggregation of the simplest local choices of direction. This is history.