Iterated function systems are formed by iterating multi-valued affine maps of the plane or three dimensional space. These are created by students from Mathematics Through 3D Printing Fall 2020.
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Iterated function systems in the plane exhibiting 5- and 6-fold symmetries
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| The initial condition has maximum height, and the subsequent iterates are shorter and shorter. |
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| Iterates of the iterated function system appear like buildings in a cityscape - in fact IFS are often used for simulation of natural landscapes |
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| Starting at with the bottom disk, each subsequent height is a new iterate |
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Four-fold symmetry
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| Sierpinsky structure |
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