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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.
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.
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:
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.
ReplyDeleteIf 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:
ReplyDeleteX,Y
0,0
0,1
[1.5],[sqrt(3)/2]
1,[sqrt(3)]
0,[sqrt(3)]
[-0.5],[sqrt(3)/2]
The interior angles are all 120 degrees
ReplyDelete