Knot_reciprocal structure

good luck knot

Reciprocal Frame Architecture by Olga Popovic Larsen

A reciprocal frame is a class of self-supporting structure made of three on more beams and which requires no center support to create roofs, bridges or similar structures.A reciprocal roof is assembled by first installing a temporary central support that hold the first rafter at the correct height. The first rafter is fitted between the wall and the temporary central support and then further rafters are added, each resting on the last. The final rafter fits on top of the previous rafter and under the very first one. The rafters are then tied with wire before the temporary support is removed. The failure of a single element may lead to the failure of the whole structure. [wikipedia]

Serpentine Gallery Pavilion 2005

Digital Reciprocal Frame Canopy by Marco Vanucci

Knot_tiling

Classic Knot Tables_Knots on the Web

These images were generated with software other than KnotPlot. The link pictured here is an infinitely complex link consisting of an infinite number of unknots. Each unknot has five-fold symmetry about its centre.

the local curvature: the turtle is connected with a graph, defining the local curvature of the resulting curve

CurvatureTurtle.zip created by Lorenz Lachauer

The relation between local curvature and the curve shape,
taken from S. Wolframs book, p. 418

Substrate An artistic watercolor visualization by J. Tarbell
Created by using the Processing visualization language to JavaScript, using the Canvas element.

in_Flux studio
-Geodetic address: 41° 51′ 20″ N , 87° 36′ 53″ W
-Political address: Chicago, Illinois, United States, North America
2010 University of Michigan Graduate Comprehensive Studios

Jock Cooper – Recurrencias fractales

Fractal_ Penrose tilings

L-system

The following images were generated by an L-system. They are related and very similar to Penrose tilings, invented by Roger Penrose.







As an L-system these tilings are called Penrose's rhombuses and Penrose's tiles. The above pictures were generated for n = 6 as an L-system. If we properly superimpose Penrose tiles as an L-system we get next tiling:






otherwise we get patterns which do not cover an infinite surface completely:

Parametrised Folding Modular Form

Jonas Coersmeier Design Studio at Pratt Institute School of Architecture


Infinite Turbulence designed by ivan delgado at Pratt Institute


Foldable Shading Devices

Glass Plate Bridge

Self Supporting Skins


Curved Origami

Mathematical Knitting

Crocheting model V.S. Sea slugs, Flatworms and Nudibranches

Crafty Geometry

Mathematicians are knitting and crocheting to visualize complex surfaces

Science News, December 23 & 30, 206, Vol 170, p. 411-413

Erica Klarreich

Crochet model showing an Ideal Triangle, whose angles sum to zero degrees.

Made by Daina Taimina

Mathematical Knitting

by Dr. Sarah-Marie Belcastro

'Space Syntax Laboratory’ at UCL

http://www.spacesyntax.org/software/index.asp. .

“Space syntax is a theory about space and human behavior, which, together with tools and methods for analyzing human interaction in the built environment, examines the impact of accessibility in spatial layouts on behavior, communication and interaction”


http://udeworld.com/dissemination/publications/47-wayfinding-design/104-space-syntax.html

Parametric Design: Conception or Component

How are parametric tools used in architectural design conception and for detailed component design? For instance, how does parametric modelling respond to design at different scales?

Expandable Structures

I came across Chuck Hoberman's expandable structures  - they may be of some interest to you
http://www.youtube.com/watch?v=VY7WEXQaatA&feature=related

What is a transitory event building?