WEBVTT 00:00:07.158 --> 00:00:08.800 我们从一个点开始 00:00:08.800 --> 00:00:10.430 就是几何学里的“点” 00:00:10.430 --> 00:00:13.349 它没有边缘,没有维度 00:00:13.349 --> 00:00:15.238 只是一个想象的概念 00:00:15.238 --> 00:00:17.424 用于指代空间体系中的一个点 00:00:17.424 --> 00:00:21.943 另一个点也可以用来指代另一个不同的位置 00:00:21.943 --> 00:00:24.346 它的大小同样是不定的 00:00:24.346 --> 00:00:25.835 为了创造一维世界 00:00:25.835 --> 00:00:29.492 我们需要做的只是把任意两个点连起来 00:00:29.492 --> 00:00:32.104 我们的一维物体只有长度 00:00:32.104 --> 00:00:36.519 没有宽度或者深度 00:00:36.519 --> 00:00:38.844 如果我们像创造一维世界那样 00:00:38.844 --> 00:00:40.411 画出第二条线 00:00:40.411 --> 00:00:41.848 来穿过第一条 00:00:41.848 --> 00:00:43.807 我们就创造了二维世界 00:00:43.807 --> 00:00:46.498 现在我们展示的物体已经有了长度和宽度 00:00:46.498 --> 00:00:47.856 但仍然没有深度 00:00:47.856 --> 00:00:50.155 为了帮助我们理解更高的维度 00:00:50.155 --> 00:00:52.349 00:00:52.349 --> 00:00:56.816 00:00:56.816 --> 00:01:02.511 00:01:02.511 --> 00:01:06.743 00:01:06.743 --> 00:01:08.598 00:01:08.598 --> 00:01:10.191 00:01:10.191 --> 00:01:14.266 00:01:14.266 --> 00:01:15.337 00:01:15.337 --> 00:01:17.949 00:01:17.949 --> 00:01:19.935 00:01:19.935 --> 00:01:23.096 00:01:23.096 --> 00:01:26.439 00:01:26.439 --> 00:01:28.163 00:01:28.163 --> 00:01:30.149 00:01:30.149 --> 00:01:31.690 00:01:31.690 --> 00:01:33.675 00:01:33.675 --> 00:01:35.817 00:01:35.817 --> 00:01:37.802 00:01:37.802 --> 00:01:39.448 00:01:39.448 --> 00:01:42.191 00:01:42.191 --> 00:01:43.863 00:01:43.863 --> 00:01:45.848 00:01:51.110 --> 00:01:54.338 00:01:54.338 --> 00:01:59.092 00:01:59.092 --> 00:02:02.018 00:02:02.018 --> 00:02:04.839 00:02:04.839 --> 00:02:07.478 00:02:07.478 --> 00:02:08.836 00:02:08.836 --> 00:02:11.161 00:02:11.161 --> 00:02:15.158 00:02:15.158 --> 00:02:18.344 00:02:18.344 --> 00:02:20.826 00:02:20.826 --> 00:02:23.830 00:02:23.830 --> 00:02:26.469 00:02:26.469 --> 00:02:29.917 00:02:29.917 --> 00:02:32.667 00:02:32.667 --> 00:02:34.567 00:02:34.567 --> 00:02:36.552 00:02:36.552 --> 00:02:39.216 00:02:39.216 --> 00:02:41.115