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- Spiral -- from Wolfram MathWorld
A spiral is a curve that gets farther away from a central point as the angle is increased, thus "wrapping around" itself The simplest example is Archimedes' spiral, whose radial distance increases linearly with angle A number of named cases are illustrated above and summarized in the following table
- Spiral | Definition, Examples, Facts | Britannica
spiral, plane curve that, in general, winds around a point while moving ever farther from the point Many kinds of spirals are known, the first dating from the days of ancient Greece The curves are observed in nature, and human beings have used them in machines and in ornament, notably architectural—for example, the whorl in an Ionic capital
- Spirals in Nature - The Smart Happy Project
From seashells to lizard tails to delicate unfurling ferns and slices of veg, you won’t be disappointed Below is a fairly comprehensive list of where to look to easily find naturally occurring spirals
- Spirals in Nature | Everyday Environment - Illinois Extension
Of all the natural shapes, spirals are considered one of the most common in nature We find spirals from giant galaxies down to the smallest gastropod shells Spirals shape who we are in our DNA double helix and appear in weather patterns as in hurricanes
- Spiral - Math. net
In 3D, a spiral is an open curve that rotates around and along a line, called its axis The spiral shown below is a type of spiral referred to as a helix, and has a parametric equation of the form x (t) = rcos (t), y (t) = rsin (t), z (t) = at, where a and r are constants A helix can be traced over the surface of a cylinder
- Patterns In Nature: Where to Spot Spirals - Science World
Snail shells, flower petals, pine cones, snakes, storms, DNA, curly hair, even galaxies are spirals—and that’s not even nearly all! Why are spirals so abundant in nature? No one can say for certain, but a possible answer is, because spirals are the smart way to grow!
- Why Do Spirals Exist Everywhere in Nature? | Blue Labyrinths
In the natural world, we find spirals in the DNA double helix, sunflowers, the path of draining water, weather patterns (including hurricanes), vine tendrils, phyllotaxis (the arrangement of leaves on a plant stem), galaxies, the horns of various animals, mollusc shells, the nautilus…
- Spirals - Encyclopedia of Mathematics
Plane curves which usually go around one point (or around several points), moving either towards or away from it (them) One distinguishes two types: algebraic spirals and pseudo-spirals Algebraic spirals are spirals whose equations in polar coordinates are algebraic with respect to the variables $\rho$ and $\phi$
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