The Grid Flower

Any pair of points define an infinity of ellipses and an infinity of hyperbolas.
The ellipses do not touch one another, nor do the hyperbolas.
But every ellipse meets every hyperbola at a right angle.
An idler's miscellany of compendious amusements

Any pair of points define an infinity of ellipses and an infinity of hyperbolas.
The ellipses do not touch one another, nor do the hyperbolas.
But every ellipse meets every hyperbola at a right angle.