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Rheotomic surfaces tests
4 ♥
Studies for a stairsynth[e]tech morphologies
2 ♥
find(&)MERGE 
SVEN
3 ♥
Loop_3 installation in the Museum of Byzantine Culture in Thessaloniki 
Tutor : Alessio Erioli
1 ♥
Structures of Warped Surfaces: Combinations of Units of Hyberbolic Paraboloids
Eduardo F. Catalano, 1960.
0 ♥
254 ♥
Plis, inflexions et courbures
23 ♥
betonbabe:

WALTER LEITNERSCULPTURAL PRECAST CONCRETE WALL, 1960s
687 ♥

The Lorenz attractor has become an emblem of chaos theory. The equations were first derived by a meteorologist, Ed Lorenz, in 1963 to represent a simplified model of the earth’s convection system. The 3 non-linear equations are:



The graphic produced by the equations is actually a 3-dimensional graph, although typically we can only visualise a 2-dimensional representation through flat media. The system demonstrates extreme sensitivity to initial conditions and never repeats itself. As can be seen in the above figure, when plotted the system oscillates between two steady states (known as attractors), although, like the weather, it never converges into a steady state.

Source: Phase diagram, the Lorenz attractor; Newcastle Engineering Design Centre, Newcastle University
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ajnabee:


“According to legend, Lorenz devised these equations as a toy weather model (picking parameter values that would produce results mimicking unsta- ble convection patterns in the atmosphere) and had a computer (a Royal McBee LGP-30) churn out numerical solutions. At one point he restarted the computation using intermediate values from the computation’s output, only to discover that seemingly insignificant roundoff—the machine computed to six digits, but reported only three—caused the restarted computation to quickly diverge from its previous output. Lorenz’s report of this sensitivity to initial conditions was one of the slow-burning embers that ultimately erupted in the blaze of chaos theory that swept across physics in the 1980s. Though emblematic of chaos, the Lorenz system was not truly known to be chaotic until 2002, when Warwick Tucker, now at the University of Uppsala in Sweden, proved that the attractor is indeed “strange,” the mathematical term of art for an attractor that displays sensitivity to initial conditions.”
19 ♥

Cellular Solid Morphologies - Revano Satria
17 ♥