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MATH-ART

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GRAPH. Multitouch synthesis. Raspberry Pi Image Tracking. GUI / OpenGL / Shaders. GLSL. Mathematics. Cymatics. Resonance made visible with black seeds on a harpsichord soundboard Cornstarch and water solution under the influence of sine wave vibration Cymatics (from Greek: κῦμα "wave") is the study of visible sound co vibration, a subset of modal phenomena. Typically the surface of a plate, diaphragm, or membrane is vibrated, and regions of maximum and minimum displacement are made visible in a thin coating of particles, paste, or liquid.[1] Different patterns emerge in the excitatory medium depending on the geometry of the plate and the driving frequency. The apparatus employed can be simple, such as the old Chinese spouting bowl, or Chinese singing fountain, in which copper handles are rubbed and cause the copper bottom elements to vibrate.

[citation needed] Other examples include the Chladni Plate[2] and the CymaScope. Etymology[edit] History[edit] On July 8, 1680, Robert Hooke was able to see the nodal patterns associated with the modes of vibration of glass plates. Influences in art[edit] Cymatics » Harmonograph. A harmonograph output A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor.[1] A simple, so-called "lateral" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface.

One pendulum moves the pen back and forth along one axis and the other pendulum moves the drawing surface back and forth along a perpendicular axis. A particular type of harmonograph, a pintograph, is based on the relative motion of two rotating disks, as illustrated in the links below. Computer-generated harmonograph figure[edit] in which represents frequency, represent phase, Fractals - DeviantART. Parametric Transcendental Formula Art - Matt Wandel.