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- W1571644788 abstract "Starting with any nondegenerate triangle we can use a well defined interior point of the triangle to subdivide it into six smaller triangles. We can repeat this process with each new triangle, and continue doing so over and over. We show that starting with any arbitrary triangle, the resulting set of triangles formed by this process contains triangles arbitrarily close (up to similarity) any given triangle when the point that we use to subdivide is the incenter. We also show that the smallest angle in a typical triangle after repeated subdivision for many generations does not have the smallest angle going to zero." @default.
- W1571644788 created "2016-06-24" @default.
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- W1571644788 date "2010-07-14" @default.
- W1571644788 modified "2023-09-27" @default.
- W1571644788 title "Subdivision by bisectors is dense in the space of all triangles" @default.
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