Sunday, February 23, 2025

If You Got a Better Grade Than I Did in Geometry

I think a regular hexagon is six adjacent equilateral triangles.   I need to machine a hexagon and this means calculating the vertices. 

3 comments:

  1. A regular hexagon can be divided into 6 equilateral triangles. The distance from one vertex to the opposite vertex is 2 times the side length. The distance from one side to the opposite side is √3 times the side length.

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  2. If you remember that all of your angles are at either 0 or 60 degrees, then your vertices (for side length 1, with the lower left corner at the origin) are:

    X,Y
    0,0
    0,1
    [1.5],[sqrt(3)/2]
    1,[sqrt(3)]
    0,[sqrt(3)]
    [-0.5],[sqrt(3)/2]

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  3. The interior angles are all 120 degrees

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