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Povray Lsystem 2D Gallery 1: Classical Fractals |
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It is said that the 'Koch Snowflake' was one of the earliest Lsystem fractals, described by the Swedish mathematician Helge von Koch. Thatiswhy I start here with some of those classical fractals by: Koch, Cesaro, Levy, Peano, Gosper, Hilbert, Menger, Moore, Sierpinski to demonstrate the plethora of shapes a 'simple' Lsystem can produce. Many of the axioms/rules used to generate the fractals on this page come from [P&L] and [P&H] Note: By request I added some of my pov-files for those who are interested. If you want to use these files comment the last 2 items within the L_Draw brackets. Otherwise Povray will complain. If you want to use my creations with the galaxy background you have to comment the inc-files containing the word 'Galaxy', too. |
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Variations of the 'Koch Snowflake' |
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left: original form right: more 'Cesaro-like' |
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square form and inverted square form |
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left: original form right: a variant I generated |
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Variations of 'Koch Island' [P&L] |
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The Daisy Chain (Koch_Curve6) |
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Variations of 'Koch Islands and Lakes' |
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'Koch square curves' [P&L] |
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Variations of the 'Cesaro fractal' |
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Cesaro_Fractal1x2a |
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Cesaro_Fractal1x2b |
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below: a 3D creation I made using Cesaro_Fractal1 |
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Cesaro's 'Fractal Box' |
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Below: my own variations of the 'Cesaro fractal' |
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Variations of the 'Levy curves' [LR] |
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Levy 'carpets' generated with the Levy_Dragon1 |
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The Curves: Peano ++ Gosper ++ Hilbert ++ Menger ++ Moore |
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left and right my variations of the Moore Curve |
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Sierpinski fractals: arrowhead ++ triangle ++ carpet ++ curves |
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below center: Lsystem_2D below left/right: My creations |
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right: a 3D creation I made using Sierpinski_Triangles3 |
Sierpinski's Cage |
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below center: Lsystem_2D below left/right: My creations |
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Copyright (c) 1996-2025 Droj. All rights reserved.