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Attractive problem

Equilateral triangles of sides \(1, 3, 5, …, 2n−1\), are placed end-to-end along a straight line.

Show that the vertices which do not lie on the line all lie on a parabola and that their focal radii are all integers.

Note by U Z
2 years, 6 months ago

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That's so beautiful! Thanks for sharing :) Shashwat Shukla · 2 years, 6 months ago

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Hi Megh

Is the equation of the parabola : \( y^{2} = 3(x+\frac{1}{4}) \) ? Azhaghu Roopesh M · 2 years, 6 months ago

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@Azhaghu Roopesh M Ok,then? U Z · 2 years, 6 months ago

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@U Z Ok, I'll try posting a proof later on :) Azhaghu Roopesh M · 2 years, 6 months ago

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