spherical

Projections

  • Posted on July 30, 2013 at 6:10 pm

The sun was out in Liverpool today, creating crisp and long evening shadows. So it seemed like a great opportunity to take photos of recent 3D printed Functy objects. The full images are rather large, but show the grain of the printing, which I think is rather interesting in itself. Click on the images for the full views.

The original Lissajous is up on deviantArt and Shapeways; the alien egg is also on deviantArt and Shapeways.

Comparing renders with reality

  • Posted on July 27, 2013 at 11:33 pm

Shapeways delivered a new batch of 3D prints recently. I was particularly pleased with the Alien Egg print of a spherical function with the formula:

radius = (3*(0.5+(sin(cos(a)+(p*((3+cos((pi*0.3)-1.5))/4))*10)**2)+((6/6.6)*((2+sin(8*a))/3)**4)))*sin(p)+(4.3*(1-(sin(p)**2))),

colour (R, G, B) = (r/8, (3+sin((a)*8))/5, (3+cos(a*8))/5).

The print is actually rather small (just 6 cm diameter) and the ridges of the shape are really quite delicate. In spite of this, the 3D print has come out really very similar to the original design. I guess you might expect it to be pretty similar, given the way it was produced directly from the model! However, if you look really closely at the original you can see the strata through the object created by the printing process. What I’m really impressed with, though, is the colour produced. I’d expected this to be a bit washed out, but in practice it’s a pretty impressive match.

Below is a comparison of (from top to bottom) the Functy render, the 3D print and a render done using Blender Cycles. In case you’re interested and your browser supports APNGs, there’s also a peculiar animated version!

Alien Egg Comparison (Functy, 3D print, Blender; click to enlarge)

Alien Egg Comparison: Functy, 3D print, Blender (click to enlarge)

Network structures

  • Posted on December 29, 2012 at 4:05 am

As part of an experimental game project I’ve been trying to use the Functy rendering routines to visualise network structures. At the moment it’s at a very early stage, but has - I think - already generated some interesting results.

The screenshot below shows a network of 60 nodes, each one rendered as a spherical co-ordinate function, joined together using links rendered as curves. I just plucked some simple functions out of the air to see what the results would be like but am hoping to extend it with more interesting shapes as things progress.

Functy rendered network structure

Functy rendered network structure

The various parts of the network are a little hard to discern with a static image, but when I tried to capture a video the result was a mess of fuzzy artefacts (I think there must be something going wrong with my screen capture software), so I gave up on that.

The next step, after neatening up the code, is to arrange better animation of the nodes and links, with dynamic movement based on things like the forces between the nodes. I’m hoping this will produce some really nice effects, and if anything comes of it I’ll put a bit more effort into getting a successful video capture.

Functions in the real world

  • Posted on July 6, 2012 at 1:59 am

This afternoon a very exciting (at least for me!) parcel arrived all the way from Eindhoven in the Netherlands. The first ever ‘real’ 3D function generated using Functy and printed by Shapeways using a 3D printer.
I’m really pleased with the results. Shapeways were not only able to print out the rather convoluted function in 3D, but they also printed it in full colour too.

Here’s a screenshot and some photos of the final result.

The colouring is really great - much more vivid than I’d expected - and it’s not as delicate as I’d feared (it survived the journey through the post, at any rate!). This is a spherical function, which is the easiest to print (they generate meshes without holes automatically, which are needed for 3D printing). Hopefully the next step will be to attempt a parametric curve print.

If you want to play around with the model yourself, you can download the Functy definition file, or if you’re feeling flush, order your own 3D printed version from Shapeways. Such is the beauty of 3D printing!

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