What is a Cylindrical Paraboloid Roof?
A mathematical geometry term, the cylindrical paraboloid is a cone or dome shaped arc where each end of the arc meets on the identical plane. A cylindrical paraboloid roof is a rounded-cone shaped roof line that can be placed in either an upright position (convex) dome position or much less frequently, in the opposite (concave) position making for a dish-like depression.
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Significance
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The origin and power of the paraboloid has been studied by mathematicians and scientists since ancient times from Euclid to Galileo and Sir Issac Newton. The parabola is an important element of mathematics and physics; it also appears frequently in the natural and built environment. There are a number of resources on the web which delve more deeply into the mathematical definitions and formulas of paraboloids and cylindrical paraboloids (see Resources below).
Simple Visual Example
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An easy mental image for a cylindrical paraboloid would be to imagine a grain silo cut along its vertical axis, one side of that silo would be a cylindrical paraboloid shape.
Recognizable Shape in Daily Life
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Cylindrical paraboloids are most broadly recognizable in industrial uses. One common example is agricultural green houses. In addition, many high-powered, industrial transmission devices possess the sweeping curve of a cylindrical paraboloid, such as those for radio communications antennas, radar, power transmission line trestles, satellite dishes and even solar collectors.
Common Roof Line Examples
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In exterior architectural use you often see the cylindrical paraboloid shape reflected in port cocheres, entrance or entryway coverings such as with awnings. You also see its use in modern architecture and frequently in military vernacular building such as with basic barracks and hangars. Indoor roof lines provide another common place to see the cylindrical paraboloid in use. Think of a hotel lobby or large indoor mall, or hotel hallway with a lit or painted parabolic dome shape.
Function Of This Roof Shape
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The cylindrical paraboloid roof has many attributes beyond its unique decorative aspects. It is an external roof line that easily sheds weather elements such as rain and snow. Used in interiors it can provide a greater sense of volume and grandeur in a space. It can be made of flexible materials through which sunlight or artificial sunlight can pass thereby improving interior atmospherics and providing a uniquely lit external architectural element when seen at night.
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