Difference between revisions of "Polynomiography"
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'''Polynomiography''' is the algorithmic visualization of polynomial equations for aesthetic, mathematical, and educational purposes. | '''Polynomiography''' is the algorithmic visualization of polynomial equations for aesthetic, mathematical, and educational purposes. | ||
| − | It is a nascent technique for polynomial root-finding with potential application in art, mathematics, and education. | + | It is a nascent technique for polynomial root-finding with potential application in [[art]], [[mathematics]], and education. |
== Description == | == Description == | ||
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The concept of polynomiography arose out of a problem concerning polynomial root-finding in the 1990s by Bahman Kalantari. | The concept of polynomiography arose out of a problem concerning polynomial root-finding in the 1990s by Bahman Kalantari. | ||
| − | Kalantari became interested in polynomial root-finding when he was designing masters’ questions for an exam, related to approximations of the square root of two. As he delved deeper into the matter, his interest was piqued at the possibility of generating computer visualizations of the root-finding process. Images thus generated would be related to fractals, but distinct in that the former affords more control over the design than the latter. | + | Kalantari became interested in polynomial root-finding when he was designing masters’ questions for an exam, related to approximations of the square root of two. As he delved deeper into the matter, his interest was piqued at the possibility of generating computer visualizations of the root-finding process. Images thus generated would be related to [[fractals]], but distinct in that the former affords more control over the design than the latter. |
Additionally, a polynomiography image, called a polynomiograph, does not necessarily exhibit fractal patterns. | Additionally, a polynomiography image, called a polynomiograph, does not necessarily exhibit fractal patterns. | ||
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== See also == | == See also == | ||
| + | * [[Fractal]] | ||
* [[Polynomial]] | * [[Polynomial]] | ||
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* [https://en.wikipedia.org/wiki/Polynomiography Polynomiography] @ Wikipedia | * [https://en.wikipedia.org/wiki/Polynomiography Polynomiography] @ Wikipedia | ||
| − | + | * [http://www.polynomiography.com/ polynomiography.com] | |
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Latest revision as of 09:38, 8 November 2016
Polynomiography is the algorithmic visualization of polynomial equations for aesthetic, mathematical, and educational purposes.
It is a nascent technique for polynomial root-finding with potential application in art, mathematics, and education.
Description
The concept of polynomiography arose out of a problem concerning polynomial root-finding in the 1990s by Bahman Kalantari.
Kalantari became interested in polynomial root-finding when he was designing masters’ questions for an exam, related to approximations of the square root of two. As he delved deeper into the matter, his interest was piqued at the possibility of generating computer visualizations of the root-finding process. Images thus generated would be related to fractals, but distinct in that the former affords more control over the design than the latter.
Additionally, a polynomiography image, called a polynomiograph, does not necessarily exhibit fractal patterns.
See also
External links
- Polynomiography @ Wikipedia
- polynomiography.com
