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- For other uses, see Spiral (disambiguation).
In mathematics, a spiral is a curve which turns around some central point or axis, getting progressively closer to or farther from it, depending on which way one follows the curve.
A spiral (in this case a logarithmic spiral) Spiral stairs, Ariel Rios Building, 1934. Washington, D.C. Two-dimensional spirals
A two-dimensional spiral may be described using
polar coordinates by saying that the radius r is a continuous monotonic function of 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:
- The Archimedean spiral: r = a + bθ
- The Cornu spiral or clothoid
- Fermat's spiral: r = θ1/2
- The hyperbolic spiral: r = a/θ
- The lituus: r = 1/θ1/2
- The logarithmic spiral: r = abθ; approximations of this are found in nature
Spiral chutes used for mail transport down a helix, Detail of 1930s mural in Ariel Rios Building Washington, D.C. Three-dimensional spirals
As in the two-dimensional case, r is a continuous monotonic function of θ.
For simple 3-d spirals, the third variable, h (height), is also a continuous, monotonic function of θ.
For example, a conic helix may be defined as a spiral on a conic surface, with the distance to the apex an exponential function of θ.
For compound 3-d spirals, such as the spherical spiral described below,
h increases with θ on one side of a point, and decreases with θ on the other side.
The helix and vortex can be viewed as a kind of three-dimensional spiral.
For a helix with thickness, see spring (math).
Spherical spiral
A spherical spiral (rhumb line) is the curve on a sphere traced by a ship traveling from one pole to the other while keeping a fixed angle (but not a right angle) with respect to the meridians of longitude, i.e. keeping the same bearing. The curve has an infinite number of revolutions, with the distance between them decreasing as the curve approaches either of the poles.da:Spiral
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Search Term: "Spiral"
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Spiral news and Spiral articles Here's our
top rated Spiral links for the day:
Spiral Continues For Lady'Backs
The Morning News - Apr 07 1:59 AM LEXINGTON, Ky. -- Sandwiched between tough games against Top 10 teams, Kentucky presented itself as Arkansas' best chance to halt a late-season downward spiral.Save
Beauty of barred spiral galaxy shown by Hubble
Spaceflight Now - Apr 05 6:53 PM The NASA/ESA Hubble Space Telescope has delivered an unrivalled snapshot of the nearby barred spiral galaxy NGC 1672. This remarkable image provides a high definition view of the galaxy's large bar, its fields of star-forming clouds and dark bands of interstellar dust.Save
Easter Flavors
Hornell Evening Tribune - Apr 07 6:28 PM (Family Features ) - For generations, American families have enjoyed the succulent taste of a smoked bone-in ham as the centerpiece of their Easter celebration. Today, tradition meets convenience with mouth-watering spiral sliced, slow cured ham.Save
U.S. Steel forms joint venture
The Sentinel - 1 hour, 13 minutes ago PITTSBURGH (AP) United States Steel Corp. has formed a 93 million joint venture with two South Korean companies to build a new domestic facility that will produce spiral welded pipe for the natural gas industry, the Pittsburgh-based company said Wednesday.Save
U. S. Steel, POSCO and SeAH Steel Corporation Form Joint Venture to Produce Spiral Welded Pipe in the United States
The Auto Channel - Apr 06 4:53 AM PITTSBURGH, April 4 -- United States Steel Corporation announced today that it has entered into a definitive agreement to form a joint venture with POSCO, the Republic of Korea's leading steel producer, and SeAH Steel Corporation (SeAH), a manufacturer of tubular products in the Republic of Korea, to design, engineer and construct a manufacturing facility capable of producing annually 300,000 net ...Save
Zimbabwe s health crisis
Kansas City Star - Apr 07 12:21 AM BULAWAYO, Zimbabwe | For Zimbabwe s legions of ill people, the most common treatment is nothing more than hope and prayer. Life is dominated by the downward spiral to death.Save
Spiders QB Ward eager to pass test
Richmond Times-Dispatch - Apr 06 8:56 PM Video of the University of Richmond's practice rolled as Spiders offensive coaches watched in a dark Robins Center meeting room this week. Quarterback Eric Ward threw a spiral about 25 yards to Arman Shields just as his route carried him to a seam between two coverage men.Save
Hopes on ropes
Newsday - Apr 07 1:24 AM Downward spiral continues as Marbury joins walking wounded If the Knicks accomplished anything this season, it is that they are once again watchable. But as their playoff chances die this agonizingly slow death, it's almost hard to look.Save
Barely able to live, too poor to die
Los Angeles Times - Apr 05 11:29 PM Zimbabwe has become a place where death and illness are consuming. BULAWAYO, ZIMBABWE For Zimbabwe's legions of the sick, the most common treatment is nothing more than hope and prayer. Life here is dominated by the downward spiral into illness and death. Save
Inside Slant
USA Today - Apr 06 10:37 PM Cincinnati BengalsSave
Hubble's View of Barred Spiral Galaxy NGC 1672
RedNova - Apr 03 2:18 PM The NASA/ESA Hubble Space Telescope has delivered an unrivalled snapshot of the nearby barred spiral galaxy NGC 1672.This remarkable image provides a high definition view of the galaxy s large bar, its fields of star-forming clouds and dark bands of interstellar dust.Save
Action Marketplace Recipe: Easter ham, carrots, pudding and pie
Fond du Lac Reporter - Apr 06 2:32 AM Holiday Spiral Ham 12-16 Servings 1 fully cooked spiral-sliced ham (8 lbs.) 1 fresh pineapple, peeled, cored and cut into four wedges 1 pkg. (12 oz.) fresh or frozen cranberries 3 med. apples, peeled and cubed 1-1/4 c. sugar 1 med. navel orange, peeled and cut into chunks 3 T. lemon juice Place ham on a rack in a shallow roasting pan. Arrange pineapple wedges around the ham. Cover and bake at 325 ...Save
U. S. Steel, POSCO and SeAH Steel Corporation Form Joint Venture to Produce Spiral Welded Pipe in the United States
[Press Release] PR Newswire via Yahoo! Finance - Apr 04 2:00 AM United States Steel Corporation announced today that it has entered into a definitive agreement to form a joint venture with POSCO, the Republic of Korea's leading steel producer, and SeAH Steel Corporation , a manufacturer of tubular products in the Republic of Korea, to design, engineer and construct a manufacturing facility capable of producing annually 300,000 net tons of spiral welded ...Save
News: Steve Jobs, Apple, and EMI Get It
Overclockers Club - Apr 06 7:04 AM ExtremeTech - What a nice surprise last Monday to wake up to news that Steve Jobs has finally begun the death spiral of DRM in the music industry. It's way past time for this to happen and my hat is off to Jobs and Apple for finally making it happen.Save
Woods within striking distance
The Fayetteville Observer - 7 minutes ago AUGUSTA, Ga. Tiger Woods threw away another good round of golf Saturday. In doing so, he thought he d also thrown away his chance at winning the Masters.Save
Last Update: 2007-04-07 21:39:43 Thank you for reading the Spiral
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