Question 94
Figure shows two non-intersecting circles $\alpha$ and $\beta$ in space. We say that circle $\alpha$ *devours* circle $\beta$ since one chord of $\beta$ (solid) is strictly contained in a chord of $\alpha$ (dashed).
The question is whether it is possible to place three circles $\alpha, \beta$ and $\gamma$ in space so as to have $\alpha$ devouring $\beta$ devouring $\gamma$ devouring $\alpha$. The radii of the circles need not be equal.
The question is whether it is possible to place three circles $\alpha, \beta$ and $\gamma$ in space so as to have $\alpha$ devouring $\beta$ devouring $\gamma$ devouring $\alpha$. The radii of the circles need not be equal.