Timeline for Higher dimensional scutoids?
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Aug 22, 2018 at 15:46 | comment | added | gsa | It would be nice to read a precise definition of a scutoid somewhere. For me, the original article is not clear: Figure 1(c) is clearly described, you start with a Voronoi tesselation on a curved surface and translate the seeds in normal direction. But what people seem to call scutoid is the object in figure 1(d) where the base is now flat. In this situation the above construction does not work and it's not clear to me what properties this object should satisfy. For example, whether all the edges should be straight lines or not. | |
Aug 2, 2018 at 23:11 | answer | added | Aaron Dall | timeline score: 2 | |
Aug 2, 2018 at 23:07 | comment | added | Tom Copeland | @AaronDall: The links, i.e., edges, for the 3-D scutoid are explicitly drawn and explained in the references to the article. The question is whether a natural extension to a 4-D structure and beyond can be devised, which of course would involve a prescription for making edges to any vertices. | |
Aug 2, 2018 at 22:11 | comment | added | Aaron Dall | I'm not sure what linking means here. From the context I would guess that linking means take the convex hull of a pentagon and hexagon embedded in parallel planes in $\mathbb{R}^3$. But a scutoid has a vertex between these two planes, so this can't be the right definition of linking. What am I missing? | |
Aug 1, 2018 at 19:12 | history | asked | Tom Copeland | CC BY-SA 4.0 |