Designing Stereographic Lampshades

Nice writeup, looks really cool. A further step might be to 3D scan the installation location you're placing it in to generate a completely custom mesh that takes into account the unique geometry of the room - you could even include the furniture if you wanted to!

What would be really cool is to project an image that reconstructs to normal only when reflected in a chromed cylinder used as the base of the lamp.

In normal 3D modelling for animation this is called &#x27;creating a reflection map&#x27;. A normal 3D package will just do it and in the environment you can have more than the one 2D flat shape (e.g. the floor&#x2F;ceiling here). Plus you can accommodate a change in position of the light fixture.<p>In another discipline - maps - we are talking projections. Personally I would like a globe of the illuminated variety with a paper cylinder around it getting a Mercator projection on it.<p>Either way, the maths and software for this has been on the desktop for at least 25 years (render times were a while back then).

I misread the title as &quot;Designing Steganographic Lampshades&quot;. Now that&#x27;d be cool.

You could go full circle by mapping a tessellated tile-able projection like Peirce quincuncial back onto the spherical lampshade via the inverse stereographic projection.<p><a href="http://www.jasondavies.com/maps/peirce/" rel="nofollow">http:&#x2F;&#x2F;www.jasondavies.com&#x2F;maps&#x2F;peirce&#x2F;</a><p><a href="http://math.ucr.edu/home/baez/week229.html" rel="nofollow">http:&#x2F;&#x2F;math.ucr.edu&#x2F;home&#x2F;baez&#x2F;week229.html</a>

To improve printability you can make a thin translucent shell and vary the thickness rather than having holes.

That&#x27;s great. Very nice idea. How did you do that 3d animation?

Awesome post! I think the geometric pattern is my favorite.<p>(And a tiny nit-pick: Banksy didn&#x27;t make the panda!)

6 hours later, has anyone printed it yet?

So how would you print this onto a globe?

Really enjoyed reading this. Great post.