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CGAL is an opensource Computational Geometry Algorithms Library which has support for boolean operations on Polyhedra; but no sweep, revolve or NURBS. Open CASCADE is an opensource modeling kernel. sgCore is a freeware proprietary modeling kernel distributed as an SDK. [9] K3 kernel [10] is developed by Center GeoS.
True polygonal masonry is a technique wherein the visible surfaces of the stones are dressed with straight sides or joints, giving the block the appearance of a polygon. [ 1 ] This technique is found throughout the world and sometimes corresponds to the less technical category of Cyclopean masonry .
The regular 65537-gon (one with all sides equal and all angles equal) is of interest for being a constructible polygon: that is, it can be constructed using a compass and an unmarked straightedge. This is because 65,537 is a Fermat prime , being of the form 2 2 n + 1 (in this case n = 4).
For example: 3 6; 3 6; 3 4.6, tells us there are 3 vertices with 2 different vertex types, so this tiling would be classed as a ‘3-uniform (2-vertex types)’ tiling. Broken down, 3 6 ; 3 6 (both of different transitivity class), or (3 6 ) 2 , tells us that there are 2 vertices (denoted by the superscript 2), each with 6 equilateral 3-sided ...
The OGC standard definition requires a polygon to be topologically closed. It also states that if the exterior linear ring of a polygon is defined in a counterclockwise direction, then it will be seen from the "top". Any interior linear rings should be defined in opposite fashion compared to the exterior ring, in this case, clockwise. [3]
I 2 (p) / D n: E 6 / E 7 / E 8 / F 4 / G 2: H n: Regular polygon: Triangle: Square: p-gon: Hexagon: Pentagon: Uniform polyhedron: Tetrahedron: Octahedron • Cube: Demicube: Dodecahedron • Icosahedron: Uniform polychoron: Pentachoron: 16-cell • Tesseract: Demitesseract: 24-cell: 120-cell • 600-cell: Uniform 5-polytope: 5-simplex: 5 ...
A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune. The digon is the simplest abstract polytope of rank 2. A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a ...
Matthias Kramm's gfxpoly, a free C library for 2D polygons (BSD license). Klaas Holwerda's Boolean, a C++ library for 2D polygons. David Kennison's Polypack, a FORTRAN library based on the Vatti algorithm. Klamer Schutte's Clippoly, a polygon clipper written in C++. Michael Leonov's poly_Boolean, a C++ library, which extends the Schutte algorithm.