How many times can you split a chocolate bar?

Parallels to the sides of the parallelogram through E, F, G, H yield to four parallelograms half in EFGH and one central parallelogram inside EFGH. [EFGH]=[ABCD]/2 if and only if the central parallelogram has zero area, that is, if and only if EG is parallel to AB or FH to BC. Grégoire Nicollier. read more

Let there be a bar of N > 1 squares. Split it into two with m 1 and m 2 squares, respectively. Of course, m 1 + m 2 = N. By the induction hypothesis, it will take (m 1-1) breaks to split the first bar and (m 2-1) to split the second one. The total will be 1 + (m 1-1) + (m 2-1) = N-1. Proof #2. Let start counting how many pieces we have after a number of breaks. read more

Daily consumption in divided doses (two to three times per day) is probably beneficial, as long as you aren’t going overboard in quantity, and as long as you’re eating high quality chocolate. According to Ori Hofmekler, in order to fully benefit from chocolate, you’d have to consume about 3.5 to 7 ounces per day. read more