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Morph Me

July 6, 2012

Here is LAGA Phd student Attouchi @ the 13e Salon Culture & Jeux  Mathematique in Paris.

She was showing students how to use a graph to create anamorphic projections. This is interesting maths!!!

Here is an anamophic projection painted by extraordinary  Australian artist Juan Ford. Mathspig went to Juan’s amorphic projection show. Now that I’ve tried to do one by hand, I have more respect. It’s totally tricky, but doable.

You will find more of his anamorphic projections @ artabase

Conformal Mapping

In maths we call this type of image distortion CONFORMAL MAPPING.

Mathematicians write equations for conformal mapping, which means they produce equations that can  turn your picture into an image you might see reflected in a fun park mirror or even in pond ripples.

Here are some images created by Wei Zeng, Lok Ming Lui, Xianfeng Gu, Tony Chan and Shing-Tung Yau who, as mathematicians would say, create Quasiconformal Maps Using Discrete Curvature Flow. You’ll find more here.

Here is the mapping graph used by Attouchi to create Anamorphic Projections.

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All you need is this grid (Download pdf file here Anamorphose Cylindrique) and a cardboard tube ( Diam 47mm or a little bigger than a toilet roll tube) covered in shiny silver paper (as used in He balloons or use gift wrap paper.)

You can just see the dotted line indicating where to place the tube mirror on the grid.

But don’t be mislead. Creating anamorphic projections is really tricky. Mathspig nearly blew a fuse trying to do a drawing. In the end I decided to keep it simple and use letters. Students could start with a triangle or their name. Keep it simple mathpiggies!!!!!! But it is such fun.

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Ooops! Mathspig forgot to write Maths 4 Eva as a mirror image. Take 2:

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It works!!!!!

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  5. […] This is quite a challenge. The idea is to draw an anamorphic cube so that the image, once projected onto a curved surface looks like a cube. You will find the template or graph for this exercise on Mathspig here. […]



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