bonanova
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Everything posted by bonanova
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Wilson has it. Is the original clue clear?
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Great job all. Here are some approaches that occurred to me when I posted: I think they all were covered. And some ways that don't use area formulas:
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To provide a clue, I will restate the puzzle, fleshed out somewhat, in the following Spoiler,
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It should be a simple matter to simulate, counting the number of flips to reach zero a million times and dividing the sum by a million. I may try doing this, but first I'm just giving it some intuitive thought.
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An equilateral triangle and a regular hexagon have the same perimeter. Find the ratio of their areas. Simple enough. Can you find three different approaches/solutiions?
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I've no other ideas what else 'FF' could mean. =/ "FF" is not the complete clue. Look more closely; it's only 2/3 of the clue.
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Scott from Eagan thoughtfulfellow
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FF? Enjoy!
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Alex and Davey are neighbors and avid volleyball players. Each has built an asphalt volleyball court in his back yard. A volleyball court has four sides, with lengths 30 feet and 60 feet, that meet at right angles. A net bisects the court area and the longer sides of each court. The sides of both courts run precisely North-South or East-West. Alex's net runs North-South; Davey's net runs East-West. Both courts are paved with a 3-inch asphalt layer that exactly fills the court. The courts were paved the same day, by the same contractor, who charged each man the same price per cubic foot of asphalt. Which man paid more for his asphalt?
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With a nod to There is a unit cube in 3-space. A unit sphere (r=1) is placed randomly, so that its center is somewhere inside the unit cube. Every point inside the unit cube has the same probability of being chosen as the center of the unit sphere. What is the probability that the cube fits entirely inside the sphere? Which probability is intuitively greater: the cube fitting inside the sphere, or the square fitting inside the circle?
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Not so much a puzzle in logic as in geometry. It has been discussed in response to
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You could have put a cherry on the top of this one by posting it last October 10 and asked: Of what is today the meaning?
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There are two answers, actually.
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Nice! That gets you the coveted bonanova Gold Star ...
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No, that he will randomize his direction in successive steps.
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Here's an extension to the puzzle, where the answer needs no calculation, just reasoning: What happens to the probability of eventual escape from the circle as the step size goes to zero? That is, the distance traveled by the ant before his direction is randomized? Why?
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Not a linguist either, more a reasonably informed layman. Just to push the envelope into ridiculous territory, shall we try for five? Fatherlessnessship.
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Another functional distinction is that you can sing vowels, but not consonants; l, m, and n being the exceptions.
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Yeah, that's it ... well, more than 95% of them. Then the weight [should I have said mass?] is ...
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