3D printing
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So far in this series, we've looked at Apollonian circle packing using C# and also F#. The next few posts will look at solving this problem in 3D: performing Apollonian sphere packing. I've decided to stay in F# for the algorithmic side of things: it just feels a much cleaner environment for dealing with this […]
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Following on from the previous post in this series, today's post completes the implementation to create a full Apollonian gasket in AutoCAD using F#. As a comment on the original Common LISP implementation, someone had contributed a more complete version which allowed me to complete today's F# version. Here's the additional F# file for the […]
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To carry on from the last post in this series, today's post is looking at a simple, initial attempt to pack circles into a space using F#. Rather than starting from the C# code in the previous post, I decided to look for a solution that makes better use of F#'s mathematical capabilities. I came […]
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To follow on from the recent series on using hyperbolic tessellation to generate patterns that might be used for 3D printing, I decided to research a slightly different approach. While I found hyperbolic tessellation reasonably straightforward for generating 2D patterns, it was much harder to adapt to 3D, mainly because we'd need to create irregular […]
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For those of you who missed the announcement (or just the event itself), here's a recording of last week's very interesting Singularity University webcast featuring Carl Bass: If you're interested in viewing others in the "Which Way Next?" series (there are two posted, at the time of writing), please visit the WWN archive.
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To follow on from this recent topic, today's post looks at a simple script to generate various hyperbolic tessellations, laying them out in an order that makes some sense of the progressive nature of the patterns that can be generated using the HT command. Here's an AutoCAD script (which can be saved as an .scr […]
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Following on from the post introducing this series, and the last post focused on generating simple hyperbolic geometry, this post looks at generating hyperbolic tessellations inside AutoCAD. Having "borrowed" some C++ code, last time, today we're going to borrow some Java. That's one of the great things about the C family of languages: the relatively […]
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As mentioned in the last post, today's post looks at how to draw hyperbolic geometry using the Poincaré disk model inside AutoCAD. This is an interesting exercise, but probably won't ultimately help us with the hyperbolic tessellations we're aiming to create: it's interesting as it will end up with us having a mechanism for mapping […]
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A regular follower of this blog and someone I now consider a friend through our online interactions, Alex Fielder, recently laid down the gauntlet for the topic of the coming series of posts. He started with Twitter… … and then moved on to The Swamp (which he thankfully also brought to my attention using Twitter). […]