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Floyd's triangle is a triangular array of natural numbers used in computer science education. It is named after Robert Floyd . It is defined by filling the rows of the triangle with consecutive numbers, starting with a 1 in the top left corner:
The Möller–Trumbore ray-triangle intersection algorithm, named after its inventors Tomas Möller and Ben Trumbore, is a fast method for calculating the intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. [1]
The core GPC code is written in C, but the GPC user community has contributed a number of ports and bindings (or wrappers) for various other languages (ActionScript 3, Borland Delphi, C#, GNU Octave, Haxe, Haskell, Java, Lua, Pascal, Perl, Python, VB.Net). All of these ports and bindings are freely available.
If a polygon is not monotone, it can be partitioned into monotone subpolygons in O(n log n) time using a sweep-line approach. The algorithm does not require the polygon to be simple, thus it can be applied to polygons with holes. Generally, this algorithm can triangulate a planar subdivision with n vertices in O(n log n) time using O(n) space. [1]
If v 1 is outside the triangle, the only way v n will land on the actual triangle, is if v n is on what would be part of the triangle, if the triangle was infinitely large. Or more simply: Take three points in a plane to form a triangle.
In this example, the triangle's side lengths and area are integers, making it a Heronian triangle. However, Heron's formula works equally well when the side lengths are real numbers. As long as they obey the strict triangle inequality, they define a triangle in the Euclidean plane whose area is a positive real number.
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In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon.. The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.