a hexagon has three straight edges.
how many straight edges does a hexagon have?
three
a regular hexagon can also be created as a truncated equilateral triangle, with schläfli symbol t{3}. seen with two types (colors) of edges, this form only has d symmetry.





























a truncated hexagon, t{6}, is a dodecagon, {12}, alternating 2 types (colors) of edges. an alternated hexagon, h{6}, is a equilateral triangle, {3}. a regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. a regular hexagon can be dissected into 6 equilateral triangles by adding a center point. this pattern repeats within the regular triangular tiling.
hexagon
pascal's theorem (also known as the "hexagrammum mysticum theorem") states that if an arbitrary hexagon is inscribed in any conic section, and pairs of opposite sides are extended until they meet, the three intersection points will lie on a straight line, the "pascal line" of that configuration.





























section::::hexagon inscribed in a conic section.:cyclic hexagon.





























the lemoine hexagon is a cyclic hexagon (one inscribed in a circle) with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point.
hexagon