File:Divina proportio F4P^1 tile.svg

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Divina_proportio_F4P^1_tile.svg‎ (SVG file, nominally 168 × 260 pixels, file size: 5 KB)

color coordinates equation
● [0:1] x = 0
● [1:0] y = 0
● [1:1] y = x
● [1:α] y = αx
● [1:α²] αy = x

– the origin (0,0).

\alpha := \varphi = \frac{1+\sqrt 5}{2},\ \alpha^{-1} = \alpha^2 - 2 = \alpha - 1

[edit] Summary

Description
English: The projective line F4P1 over a finite field F4 visualized exploiting properties of the golden ratio. This version fits for a tiling.
Русский: Проективная прямая F4P1 над конечным полем F4, смоделированным при помощи золотого сечения. Версия изображения для построения мозаики средствами HTML.
Français : La droite projective F4P1 sur un corps fini F4, dont nous regardons avec un aide des propriétés de la section d’or.
Date

29 July 2009(2009-07-29)
Source

Own work
Author

Incnis Mrsi
Permission
(Reusing this image)		 See below.
Other versions

File:Divina_proportio_F4P^1.svg

]]

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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Creative Commons Attribution Creative Commons Share Alike		 This file is licensed under the Creative Commons Attribution ShareAlike 3.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one. Official license

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File history

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Date/TimeThumbnailDimensionsUserComment
current11:10, 29 July 2009Thumbnail for version as of 11:10, 29 July 2009168×260 (5 KB)Incnis Mrsi (talk | contribs) ({| cellpadding=6 !color !coordinates !equation |- |<font color=#FFFF66>●</font>||[0:1]||''x'' = 0 |- |<font color=#FF6666>●</font>||[1:0]||''y'' = 0 |- |<font color=#6666FF>●</font>||[1:1]||''y'' = ''x'' |- |)

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