In geometry a digon is a polygon with two sides and two vertices. In Euclidean geometry, a digon is usually considered to be an impossible object, because its two sides coincide. However, in spherical geometry a digon with distinct sides can be drawn by placing two vertices anywhere on a great circle. If the two vertices are antipodal then the digon is regular. Table of Geometry, from the 1728 Cyclopaedia. ... Look up Polygon in Wiktionary, the free dictionary. ... In geometry, a vertex (Latin: whirl, whirlpool; plural vertices) is a corner of a polygon (where two sides meet) or of a polyhedron (where three or more faces and an equal number of edges meet). ... Euclid Euclidean geometry is a mathematical system due to the Hellenistic mathematician Euclid of Egypt. ... Two famous undecidable figures, the Penrose triangle and devils pitchfork. ... Spherical geometry is the geometry of the two-dimensional surface of a sphere. ... For the Brisbane bus routes known collectively as the Great Circle Line (598 & 599), see the following list of Brisbane Transport routes A great circle on a sphere A great circle is a circle on the surface of a sphere that has the same diameter as the sphere, dividing the... Antipodal points on the surface of a sphere are diametrically opposite; on the other side of a globe. ... A regular pentagon A regular polygon is a simple polygon (a polygon which does not intersect itself anywhere) which is equiangular (all angles are equal) and equilateral (all sides have the same length). ...