bonanova
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Posts
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Community Answers
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bonanova's post in A paradox? of two chests was marked as the answer
This is a classical paradox. I like this answer the best:
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bonanova's post in A perfect lamp was marked as the answer
@DejMar, I agree, there are noninteger too: the time intervals the lamp spends in one or the other state: the "on" times plus the "off" times sum to 2 minutes. The lamp is "on" more than it's off, but we can determine these times without ambiguity. I would add these nonintegers are limited to the rationals, however, not the reals. Still,
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bonanova's post in An Associative fallacy was marked as the answer
Association holds for finite series. Infinite series converge only under certain conditions, which fail in this case. So it's not proper to give the series a value at all. But let's ignore that and call the series S anyway. Then what is S? Clearly it's 1/2:
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bonanova's post in Finding a triangle in a circle was marked as the answer
I think your answer is right. Mine is overkill. Are you sure that
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bonanova's post in cutting a circle to find a point was marked as the answer
Here's another try at distinguishing our ways of looking at this problem.
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bonanova's post in Flying around was marked as the answer
Perhaps sailing around, as well? Nice puzzle!
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bonanova's post in Partitioning a Triangle into similar pieces was marked as the answer
[1] Yes, I think so. Dissection lines must join an existing vertex to an existing side at a right angle. The process can be continued an infinite number of times, because a self-similar figures is reached after each group ot two lines. This says the first two cuts determine the size ratios, and those ratios remain fixed. Simple inspection will show the ratios are determined by the size of the acute angle..
I don't know of a dissection scheme for non-right triangles.
BTW, and I'm sure this is obvious, I only had to mark ONE of the acute angles as being preserved, since the other acute angle is its complement.
[2] There are some anomalies in the new version. I'm discussing this one with Site Admin at present. It happened in other threads as well. Meantime check the post dates to be determine the right sequence. To doubt, use the "Quote" feature, as I did here.
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bonanova's post in Shadows on fence posts was marked as the answer
plasmid's analysis is fairly complete. It begins with "depends on ... ," which is another way of saying the question can't be answered without more information than the OP gives. I will add to the information contained in the OP the assumption that the puzzle creator has fulfilled the burden of providing sufficient information for an answer to be reached.
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