Information AboutSpiral |
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shell showing the chambers arranged in an approximately Logarithmic Spiral .]] In Mathematics , a spiral is a Curve which emanates from a central point, getting progressively farther away as it revolves around the point. SPIRAL OR HELIX? A "spiral" and a " Helix " are two terms that are easily confused, but represent different objects. A spiral is typically a Planar curve (that is, flat), like the ridges of a Record or the arms of a Spiral Galaxy . A helix, on the other hand, is a three-dimensional coil that runs along the surface of a cylinder, like a Screw . There are a few instances where in Colloquial usage spiral is used as a synonym for helix, notably Spiral Staircase and Spiral Binding of books. Mathematically this is incorrect but the terms are in common usage. In the side picture, the black curve at the bottom is an Archimedean Spiral , while the green curve is a helix. A cross between a spiral and a helix, such as the curve shown in red, is known as a conic helix. TWO-DIMENSIONAL SPIRALS A Two-dimensional spiral may be described easiest using Polar Coordinates , where the Radius ''r'' is a Continuous Monotonic function of angle θ. The circle would be regarded as a Degenerate case (the function not being strictly monotonic, but rather constant). Some of the more important sorts of two-dimensional spirals include:
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Image:Logarithmic Spiralsvg
| "http://wwwinformationdelightinfo/information/entry/logarithmic_spiral" class="copylinks">Logarithmic Spiral |
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Image:Fermat's Spiralpng
| "http://wwwinformationdelightinfo/information/entry/Fermat's_spiral" class="copylinks">Fermat's Spiral |
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Image:Hyperspiralpng
| "http://wwwinformationdelightinfo/information/entry/hyperbolic_spiral" class="copylinks">Hyperbolic Spiral |
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