http://dark.z5lcip4dafatwwa6hvyibizpzwycvwp67cjga3hzjhxhwvuyaqavxnid.onion/math/526
An equilateral triangle requires a short, wide rectangle to fit neatly in while touching the midpoints of the two leg sides - it only fits then that a tall, thin sort of isosceles or scalene triangle could narrow this rectangle into a true square. The only other thoughts I have related to this are the occult and historiographic implications of a square labelled SPQR, posited in the middle of a triangle. Like summoning Caesar's ghost for a seance.