An unexpectedly full weekend leaves me caught short without a full fledged blog post for today. I’ll make up for it tomorrow. In the meantime, here are two tidbits to hold you over:
- A useful recipe for salted water. Do not fail to read the reviews.
- A puzzle I got from the mathematician Alexander Merkurjev. If I recall right, he told me that it had appeared on a college entrance exam in the old Soviet Union:
A regular 400-gon is tiled by parallelograms. Prove that at least 100 of those parallelograms must be rectangles.
(A regular 400-gon is a 400-sided figure with all sides equal and all angles equal. The parallelograms can all be of different sizes and shapes—or not. “Tiled” means that the interior of the 400-gon is entirely covered, with no overlaps.)