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IC16: Visualizing Mathematics With 3D Printing: Augmenting A Traditional Book With New Media & Editing Spherical Video With Möbius (And Other) Transformations

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IC16: Visualizing Mathematics With 3D Printing: Augmenting A Traditional Book With New Media & Editing Spherical Video With Möbius (And Other) Transformations
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21
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26
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CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
I will talk about the development of a new popular mathematics book, coming out in September 2016. Most of the figures in the book are photographs of 3D printed objects. Readers can visit the book‘s website http://3dprintmath.com to explore virtual versions of the figures, download to print themselves or order online. This allows me to introduce topics which are not generally covered in popular mathematics books, presumably because of the difficulty of conveying truly 3D content. Then, I will speak on two further topics. First, the technology of spherical video, and how it differs as a medium from ordinary flat video. Second, some techniques for editing spherical video, using Möbius transformations and other conformal mappings of the Riemann sphere.