Before Milnor, no one had any inkling that this restriction made any difference; for spaces of three dimensions or fewer, it does not.

在米尔诺尔之前，没有人认为这个限制有什么影响；而对于三维以下的空间，确实没有影响。

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If you look at those pictures in a particular way, your brain's programming will take over and create the illusion of three dimensions.

如果你用特定的方法来看这些影像，大脑的处理工序会进而创造出三维的幻觉。

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An artist is limited to creating the illusion of three dimensions on a flat two dimensional surface.

画家是用二维的画面来表现三维的空间。

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When each eye sees very similar, but different versions of an image, the brain thinks it is seeing depth, or three dimensions.

VOA: special.2010.01.26

For most of us, we can go up to three dimensions because we know we live in a three-dimensional world.

对于大多数人来说,我们最多可以考虑三维,因为我们生活在一个三维世界

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And I think sometimes on the teeter-totter of each of those three dimensions were teetering where I wish we were tottering a little more as our products are more complicated.

我想有时这就像坐跷跷板,三个维度都在摇晃不定，无法抉择,比我们的产品生产还复杂一些。

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Bekenstein (who collaborated with Stephen Hawking on his groundbreaking study of black holes in the 1970s) suggested that there might be more to the theory:We might be 2-D creatures whose minds have given us the illusion of three dimensions to help us get around.

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"With no tethers, you can take advantage of all three dimensions, " says Bill Spencer, a founder of Hawaii Oceanic Technologies.

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The study found that 43% of a company's reputation arises from perceptions of workplace, citizenship and governance, and Google has the best reputation globally in all three of those dimensions.

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