If my poor Flatland friend retained the vigour of mind which he enjoyed when he began to compose these Memoirs, I should not now need to represent him in this preface, in which he desires, firstly, to return his thanks to his readers and critics in Spaceland, whose appreciation has, with unexpected celerity, required a second edition of his work; secondly, to apologize forcertain errors and misprints (for which, however, he is not entirely responsible); and, thirdly, to explain one or two misconceptions. But he is not the Square he once was. Years of imprisonment, and the still heavier burden of general incredulity and mockery, have combined with the natural decay of old age to erase from his mind many of the thoughts and notions, and much also of the terminology, which he acquired during his short stay in Spaceland. He has, therefore, requested me to reply in his behalf to two special objections, one of an intellectual, the other of a moral nature.
封底 在一维世界的人看来,能前后左右移动的人是神,因为他能突然出现又突然消失(移到直线的左边或右边,直线国的人就看不见你了);在二维世界的人看来,能上下移动的人是神,因为他能突然出现又突然消失(移到平面的上方或下方,平面国的人就看不见你了);那在我们这个三维...
评分最近我读了一本非常有趣的科幻小说,是埃德温·艾勃特的《平面国》,正如书名所提示的那样,它主要描绘了一个处在二维空间中的国家,在那里一切都是平面的,甚至连人也是一样。也许我们这些处在三维空间的人会觉得他们可怜,但他们本身却是自有一番乐趣。 平面国的居民...
评分平面国,顾名思义,是一个仅存在于平面之中的国家,只有长度和宽度而没有厚度。国家里的女人们都是直线,智力低下,冲动而健忘。男人的多数是地位较低的等腰三角形,中产阶级则是等边三角形以上的规则图形,同时还有多边形乃至圆形的特权阶层。三角形男人顶角的大小决定了他们...
评分 评分焦建/文 上完中学的几何课程之后,除了对数学有兴趣的人,估计不会有太多人还对于平面和纬度产生兴趣。作为一种理解更加艰深知识的工具,这些概念被当做一种学习的跳板。我们都记得的公理是——点移动成线,线移动成面,面移动成体。立体图形成为学习的核心,除此之外,其他的...
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