如果你觉得我们这些三维生物永远无法真正理解四维空间，那你一定要读读 Charles Hinton（http://en.wikipedia.org/wiki/Charles_Howard_Hinton）的《第四维度》（The Fourth Dimension，https://archive.org/details/fourthdimension00hintarch）。就是这个人（从希腊语中）创造了 ana 和 kata 这两个词，用来表示两个额外的四维方向，类似于上/下等概念。（他还发明了…
If you think that us 3D people will never be able to wrap their heads around 4D, you have to read Charles Hinton's (http://en.wikipedia.org/wiki/Charles_Howard_Hinton) The Fourth Dimension (https://archive.org/details/fourthdimension00hintarch). This is the guy who coined the terms ana and kata (from Greek) for the two additional 4D directions, analogous to up/down, etc. (he also invented…
…《多维传奇》（A Romance of Many Dimensions）写于 1884 年，曾有一段时间，对高维度的推测和可视化尝试非常流行。Hinton 在 1888 年创造了“超正方体”（tesseract）这个词，到了 1904 年，他的书《第四维度》（The Fourth Dimension）引入了他的立方体模型。在 Martin Gardner 的一本书里，我看到过一封信讨论这类研究可能带来的弊端，说有些人开始不受控制地在脑海中不断浮现那些练习的推导过程，导致…
…A Romance of Many Dimensions was made in 1884 and for a while, speculation and attempts at visualization of higher dimensions were popular. Hinton coined "tesseract" in 1888, and by 1904 his book The Fourth Dimension introduced his cubes. In one of Martin Gardner's books I had found a letter discussing a potential downsides of such studies, that some began to inescapably visualize the exercise progression which went…
我最早是在研究 Alan Moore 的《来自地狱》（From Hell）里的参考资料时了解到这个的。Hinton 写过一篇名为《什么是第四维度？》（What is the Fourth Dimension?）的文章，在那个故事里起到了重要作用。
I first learned about this while researching references in From Hell by Alan Moore. Hinton wrote an article called "What is the Fourth Dimension?" which plays a part in the story.
如果你觉得我们这些三维生物永远无法真正理解四维空间，那你一定要读读 Charles Hinton（http://en.wikipedia.org/wiki/Charles_Howard_Hinton）的《第四维度》（The Fourth Dimension，https://archive.org/details/fourthdimension00hintarch）。就是这个人（从希腊语中）创造了 ana 和 kata 这两个词，用来表示两个额外的四维方向，类似于上/下等概念。（他还发明了…
If you think that us 3D people will never be able to wrap their heads around 4D, you have to read Charles Hinton's (http://en.wikipedia.org/wiki/Charles_Howard_Hinton) The Fourth Dimension (https://archive.org/details/fourthdimension00hintarch). This is the guy who coined the terms ana and kata (from Greek) for the two additional 4D directions, analogous to up/down, etc. (he also invented…
…《多维传奇》（A Romance of Many Dimensions）写于 1884 年，曾有一段时间，对高维度的推测和可视化尝试非常流行。Hinton 在 1888 年创造了“超正方体”（tesseract）这个词，到了 1904 年，他的书《第四维度》（The Fourth Dimension）引入了他的立方体模型。在 Martin Gardner 的一本书里，我看到过一封信讨论这类研究可能带来的弊端，说有些人开始不受控制地在脑海中不断浮现那些练习的推导过程，导致…
…A Romance of Many Dimensions was made in 1884 and for a while, speculation and attempts at visualization of higher dimensions were popular. Hinton coined "tesseract" in 1888, and by 1904 his book The Fourth Dimension introduced his cubes. In one of Martin Gardner's books I had found a letter discussing a potential downsides of such studies, that some began to inescapably visualize the exercise progression which went…
我最早是在研究 Alan Moore 的《来自地狱》（From Hell）里的参考资料时了解到这个的。Hinton 写过一篇名为《什么是第四维度？》（What is the Fourth Dimension?）的文章，在那个故事里起到了重要作用。
I first learned about this while researching references in From Hell by Alan Moore. Hinton wrote an article called "What is the Fourth Dimension?" which plays a part in the story.