Jonathan Rees's visuals
Gallery
All of the images here were generated by various small Scheme
programs running in Scheme 48.
The programs employ a simple figure-generation library that emits
Postscript.
I have used Ghostscript to convert Postscript to PNG
files, which are viewable by modern web browsers.
If you have an older browser, such as Netscape prior to version 4.04,
you won't be able to see the PNG files.
Renditions of infinite binary branching
By "infinite binary branching" I mean the unrooted infinite tree having exactly
three edges incident with each vertex. I call it a tree because it is
a graph with no cycles, but this is an odd word to use because the
object has no leaves.
Obviously, only a finite portion of the tree is depicted.
-
Concentric -- vertices lie on a series of concentric
circles with linearly increasing radii.
[also available as postscript]
-
Fractal -- all angles are 120°, but edges get shorter
with increasing distance from center.
[postscript]
-
Quasi-hyperbolic -- inspired by the disk model of
hyperbolic space. The "faces" in between subtrees are rendered
to make their edges lie on circles.
[postscript]
-
Pruned #1 -- equal edges and angles, but some
branches terminate early.
-
Pruned #2 -- similarly. This uses a slightly different
growth rule, producing an irregular frontier.
Silliness
Function space illustration
Solid modeling
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