X-cube model on generic lattices: Fracton phases and geometric order

When I enter the apartment on the first floor in Berlin Schöneberg, where the Musée de la danse is announced to take place, Rabih Mroué welcomes me and the others visitors. At the very first room, I encounter a workshop situation in which Shelley Senter, former dancer with Trisha Brown (one of the icons of postmodern dance) tries to teach some phrases of Primary Group Accumulation, a piece from 1973, to Claire Bishop, art historian and critic of relational and participatory aesthetics. Both are lying on the floor, and we are joining them. Primary Group Accumulation was the third piece set by the mathematical structure of accumulation, following the principle of a children’s game: A, AB, ABC, ABCD—repeating and adding one new element of movement after each repetition. Four dancers performed rotations and bending of the joints in unison; the easier and more everyday it looks, the harder it is to execute the movement in exact unison, with the right timing. The piece precisely negotiates the tension between the relatively simple structure, the non-virtuosic movement, and its interpretation—between “geometric order and corporal imprecision.”

Download Full-text

Synthesis of a Traditional House with a Space-Frame

International Journal of Space Structures ◽

10.1177/026635119100600403 ◽

1991 ◽

Vol 6 (4) ◽

pp. 267-273 ◽

Cited By ~ 1

Author(s):

Anne Griswold Tyng

Keyword(s):

Total Space ◽

Eastern Shore ◽

Space Filling ◽

Space Frame ◽

Living Space ◽

Geometric Order

The Walworth Tyng Farmhouse on the Eastern Shore of Maryland is probably the first built architectural structure as a total space frame harboring living space within itself. The tetrahedron/octahedron space-filling configuration is turned with squares in the horizontal planes. In this orientation the geometry offers framework for a profoundly familiar rectilinear plan and double pitched roof. The apparent randomness of sunshades, trellises, entrance balcony and tetrahedron dormer windows are precise extensions of the consistent geometric order. Triangulated framing required only 3 × 4 rafters on 7 foot centers and, with its continuously interconnected joints, easily survived the 150 mph winds of Hurricane Hazel. This architectural image of house was accepted by the conservative water-oriented community and called “the ship”.

Download Full-text

Decision letter: Patterned cortical tension mediated by N-cadherin controls cell geometric order in the Drosophila eye

10.7554/elife.22796.037 ◽

2017 ◽

Keyword(s):

Cortical Tension ◽

Drosophila Eye ◽

Geometric Order

Download Full-text

Doing Science in the Mesolithic, Neolithic and Copper Age

Early Farmers ◽

10.5871/bacad/9780197265758.003.0020 ◽

2014 ◽

Author(s):

John Chapman

Keyword(s):

Material Culture ◽

Social Conditions ◽

Wide Area ◽

Copper Age ◽

East Europe ◽

South East Europe ◽

The Everyday ◽

Scientific Principles ◽

Woven Structures ◽

Geometric Order

This chapter explores the ways in which categories of class and order have been built up into science in later prehistoric south-east Europe. Five themes related to scientific principles are explored: harmonious proportions and the geometry of buildings; an aesthetic of geometric order for the design of objects; numerology; calendrical observations; and the geometry of plaited patterns and woven structures. It is undesirable to separate the ritual from the domestic, the scientific from the technological or the pragmatic from the symbolic in the interpretation of the material culture under discussion. The author proposes that, under certain social conditions, there arose opportunities for more complex cognitive formulations than in the everyday formulation and use of the four main principles of object design—symmetry, precision, compartmentalisation and standardisation—found over a wide area of central and south-east Europe and covering four millennia.

Download Full-text