In recent years, with the public availability of AI tools, more people have become aware of how closely the inner workings of ...

We describe finite sets of points, called sentinels, which allow us to decide if isometric copies of polygons, convex or not, intersect. As an example of the applicability of the concept of sentinel, ...

They are commonplace because we learn about two-dimensional versions of these shapes as children: triangles, squares, dodecahedrons, and other convex polygons [a polygon is any flat shape made ...

An algorithm that finds the externally visible vertices of a polygon is described. This algorithm generates a new geometric construction, termed the convex ropes of each visible vertex. The convex ...

These points are called ‘conical singularities’, and we say they have an ‘angle deficit’ of 60°. Thurston showed you can get any such sphere by drawing an 11-sided convex polygon in a lattice of ...

On the other hand, it’s impossible to tile the plane with any convex polygon of more than six sides; the sum of the interior angles is just too large. So that leaves only pentagons and hexagons as ...

Will there is a patch for 1.6.1 or only for master? Master only. One more thing, if two boxs intersect, the overlapped polygon should be a convex polygon, I wonder if the scan step here still be ...

XRP and Polygon are trading for nearly the same price, but only one of these should be in your portfolio.

When one or more of the interior angles in a shape is more than 180 degrees, the shape is called a non-convex polygon. The researchers tried different possibilities on a computer, and then studied the ...