# Spirangle

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> Source: https://en.wikipedia.org/wiki/Spirangle
> Source revision: 1326571301
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{{Short description|Spiral polygonal chain}}
{{no footnotes|date=January 2019}}
thumb|3-angle spirangle or triangle spiral
[[File:Ulam-Spirale2.png|thumb|[Ulam spiral](/source/Ulam_spiral) in a 4-angle spirangle or rectangle spiral]]
<!--
thumb|4-angle spirangle or rectangle spiral
-->
thumb|7-angle spirangle or heptagon spiral
thumb|70-angle spirangle

In [geometry](/source/geometry), a '''spirangle''' is a [spiral](/source/spiral) [polygonal chain](/source/polygonal_chain).  Spirangles are similar to spirals in that they expand from a center point as they grow larger, but they are made out of straight [line segment](/source/line_segment)s, instead of curves. Spirangle [vectograph](/source/vectograph)s are used in [vision therapy](/source/vision_therapy) to promote [stereopsis](/source/stereopsis) and help resolve problems with [hand–eye coordination](/source/hand%E2%80%93eye_coordination).

==Two-dimensional spirangles==
A two-dimensional spirangle is an open figure consisting of a line bent into angles similar to a corresponding polygon.  The spirangle can start at a center point, or a distance from the center, and has some number of turns around the center point.

==Three-dimensional spirangles==
Three-dimensional spirangles have layers that slant upward, progressively gaining height from the previous segment. This is similar to staircases in large buildings that turn at the top of each flight.  The segments also may progressively lose an amount of length and resemble a pyramid.

==Uses==
* [Ophthalmology](/source/Ophthalmology) — {{Not a typo|vectograms}}
* [Electronics](/source/Electronics) — printed [inductor](/source/inductor)s
* [Architecture](/source/Architecture) — 'spiral' [staircase](/source/staircase)s
* [Jewelry](/source/Jewelry) — earrings, pendants
* [Search algorithm](/source/Search_algorithm)s — optimal scanning of a region of interest, for example a crime scene or a region of the [celestial sphere](/source/celestial_sphere)

==See also==
* [Turtle graphics](/source/Turtle_graphics)

==References==
* Michael Scheiman & Bruce Wick (2013) ''Clinical Management of Binocular Vision'', pp.&nbsp;216, 256, 272, [Wolters Kluwer](/source/Wolters_Kluwer), Fourth edition, {{ISBN|978-1451175257}}.
* Jaime Aquilera & Roc Berenquer (2007) ''Design and Test of Integrated Inductors for RF Applications'', p.&nbsp;24, [Springer Science & Business Media](/source/Springer_Science_%26_Business_Media) {{ISBN|978-0470025871}}.

==External links==
* [http://www.coloradocollege.edu/dept/AN/FieldArchWebsite/Oct3.htm Colorado College field archeology site with a sample of ancient spirangle art]

{{Spirals}}

Category:Ophthalmology
Category:Spirals
Category:Applied mathematics

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Adapted from the Wikipedia article [Spirangle](https://en.wikipedia.org/wiki/Spirangle) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Spirangle?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.