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Fractals |
NSW Secondary High School Stage 5 Mathematics � Additional Content | |
Dr T, 2004 | |
To see a World in a Grain of Sand William Blake, "Auguries of Innocence" (c. 1803) |
A fractal is infinitely detailed, with parts of itself similar to all of itself.
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Suggestion: Read the "notes on series" before attempting the worksheets. |
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notes on series |
Sierpinski Fractals | ||
Sierpinski Carpet |
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worksheet |
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Sierpinski Triangle |
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worksheet |
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Fractal Trees | ||
Binary Tree Construction |
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worksheet |
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H Fractal |
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worksheet |
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Binary Tree in Motion |
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Fibonacci Tree Construction |
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worksheet |
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Fibonacci Tree Patterns |
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Pythagoras Trees | ||
Symmetric Pythagoras Tree |
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worksheet |
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Asymmetric Pythagoras Tree in Motion |
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Pythagoras Tree with Hexagons |
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Pythagoras Tree with Octagons |
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Koch Snowflakes and Modified Snowflakes | ||
Koch Snowflake |
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worksheet |
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Koch Anti-Snowflake |
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worksheet |
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Torn Square Construction |
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Torn Square in Motion |
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Square Snowflake |
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worksheet |
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Square Anti-Snowflake |
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worksheet |
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Minkowski Sausage |
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worksheet |
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Cantor Dust |
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worksheet |
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Cantor Square Dust |
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Hilbert Space Filling Curve |
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Produced by Dr T |