File:Abyss_of_regular_octagons.svg
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Original file (SVG file, nominally 750 × 750 pixels, file size: 818 bytes)
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Summary
DescriptionAbyss of regular octagons.svg |
English:
On a pale disc, the initial dark octagon is convex, its star‑shaped hole and itself share their eight vertices of regular polygons. Their common center is the center of a homothety of ratio which shrinks repeatedly these octagons by alternating the dark color and the light grey, visible through the holes. In this way the geometric figure is extended into an abyss of similar regular octagons. Mathematically the number of successive polygons can be infinite. Actually the SVG source code ends with Clockwise or not around the center we imagine, a 22.5° angle rotation keeps the whole figure unchanged. A ± 180° angle rotation of this center composed with the previous homothety yields the same abyss of polygons. This new homothety of opposite is considered as a similarity of positive ratio. Français : Bientôt… |
Date | 07/03/2010 |
Source | Own work |
Author | Yves Baelde |
Other versions |
With regular dodecagons |
SVG development InfoField | This /Baelde was created with a text editor. |
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Items portrayed in this file
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image/svg+xml
710df25307e6de4694bbed2d21d5a11047224b14
818 byte
750 pixel
750 pixel
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:43, 8 March 2022 | 750 × 750 (818 bytes) | Arthur Baelde | better framing, two lighter colors inverted and the source code is more interesting to examine or explain | |
10:24, 17 July 2012 | 750 × 750 (676 bytes) | Baelde | Size 750 × 750 instead of 600 × 600, margins reduced | ||
21:27, 7 March 2010 | 600 × 600 (677 bytes) | Baelde | {{Information |Description={{en|1=By tracing a regular stellated octagon, we obtain a concentric convex octagon, whose sides are smaller. We can start with this convex octagon to put in the original image its reproduction. In pure geometr |
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Width | 750 |
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Height | 750 |