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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
3 years ago

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That's so beautiful! Thanks for sharing :)

- 3 years ago

Hi Megh

Is the equation of the parabola : $$y^{2} = 3(x+\frac{1}{4})$$ ?

- 3 years ago

Ok,then?

- 3 years ago

Ok, I'll try posting a proof later on :)

- 3 years ago