Tom Lowe
TomL@mathstodon.xyz
<p>I'm interested in Computer Graphics, Geometry, Mathematics and Physics. I have worked in Games Development, Animation Development, and now in Robotics Development, I guess that makes me a developer.<br />Vous pouvez me parler dans n'importe quelle langue, c'est assez facile à traduire en ligne si je ne le connais pas.</p>
Posts
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Post #1757940
The last method needs a tweak, the little green patches do need the transition (dull yellow) tile between them and the larger brown patch. But with that in place it seems to be solidly continuous. Here I&#39;m stress testing it by changing the geometry of the underlying globe limit set. Top is spherical. Middle shrinks the bottom generating sphere to make it cratered. Bottom shrinks another sphere that overlaps the two child sets. So my takeaway is that it&#39;s possible to transition...
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Post #1580544
To make a world-like landscapes with an inversive substitution limit set requires the root limit set to be close to spherical, which you get from having the generating spheres placed on the vertices of a Platonic solid. Last post used an octahedral configuration. This only allows the bumpy tree-tree and cratered shell-shell child sets since the substitution needs to match one sphere and its immediate neighbours (up to a Mobius transformation), leaving only a single sphere for variation. All th...
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Post #1580543
There are a couple of problems with the previous substitution rules (post: https://mathstodon.xyz/@TomL/116374713539850562). The first is that the substituted sets are solidly that one set, which looks unnatural. That can be fixed by having one of the spheres of the child set substitute back in the parent set. So for instance you don&#39;t just get patches of vegetation in your bare soil, but also patches of bare soil within your vegetation. Here the hilly green terrain substitutes back i...