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Life & fun · July 3, 2015

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Truncations of a polygon

Truncations of a polygon

Truncations of a polygon launched on July 3, 2015 with 8 votes, #1,846 of 4,208 launches that month and more than 50% of that year's launches. The site was still online in September 2026, 11 years on.

What it does

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. We start with a polygon — let's say a triangle. This triangle has 3 vertices. In order to truncate we need to split each vertex into two. Now the triangle is made up of 6 vertices. Or rather 3 pairs of vertices. Each pair occupies the same position as the original vertex it is split from. The vertices are used to define the sides of a triangle. Therefore, each vertex has a direct relation to a side. The process of truncation involves moving each vertex along it's line towards the mid-point of the line. Once all the vertices reach the mid-points this is known…from winkervsbecks.github.io

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