By Idun Reiten, Sverre O. Smalø, Øyvind Solberg
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Html (10 of 12) [12/06/2001 17:12:51] Easier Fibonacci Number puzzles Reflections across Two and Three Glass Plates by V E Hoggatt Jr and Marjorie Bicknell-Johnson in The Fibonacci Quarterly, volume 17 (1979), pages 118 - 142. More.. A Puzzle about Puzzles This is a puzzle about puzzles - the puzzle is to design your own puzzle!! You might have noticed that quite a few of the puzzles above are really "the same" but the names and situations are changed a bit. It is fairly easy to see how Leonardo's Leaps is the same as the 1p and 2p coin change puzzle and also it is just Leonardo's Lane but slightly disguised.
Contents of this Page The line means there is a Things to do investigation at the end of the section. Packing Why does Phi appear in nature? Why exact fractions are fruitless! The rational answer is the irrationals! Links and References On the first page on the Fibonacci Numbers and Nature we saw that the Fibonacci numbers appeared in (idealised) rabbit, cow and bee populations, and in the arrangements of petals round a flower, leaves round branches and seeds on seed-heads and pinecones and in everyday fruit and vegetables.
Now here is your puzzle. The phones in my company are rather old and do not have an external speaker (and no "conference call" facility) - only one person can hear each call. So I decide that I will phone only two people using two separate calls. I shall give them the news and then ask that they do the same and phone just two more people only. What is the shortest time that the news can pass to 14 people? 1. Draw the cascade tree of telephone calls, or the telephone tree for this problem. It begins like this: me /------------^----\ first minute second minute third minute A /----^----\ C /--^--\ D /--^-\ ...