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Golden Lines in an Equilateral Triangle

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exend golden lines
erect structure
show icosahedron
show triangle 1
Define a golden line in an equilateral triangle as the line that connects a vertex of the triangle to the point on the opposite edge that divides the edge in the golden ratio 1:
ϕ
. Each of the three golden lines is divided by its intersections into three parts of sizes 1,
ϕ
, and
2
ϕ
. The points of intersection coincide with the vertices of the regular icosahedron, octahedron, and tetrahedron. Dragging the "erect structure" slider folds the four triangles into a tetrahedron.
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