Penrose proved with math that the formation of black holes was possible.

彭罗斯用数学证明了黑洞的形成是可能的。

And after some analysis, concluded that this was, in fact, Penrose tiling 500 years before Penrose.

经过一些分析后，发现这其实是早于彭罗斯 500 年的彭罗斯铺砌。

I wonder what would happen if you applied Penrose's theory about black holes to the entire universe?

我在想，如果把彭罗斯的理论从黑洞推广到整个宇宙呢？

Listen, next Friday, I'm taking a few graduates of merit to London, to attend a talk by the mathematician Roger Penrose.

下周五，我要带几个优秀研究生去伦敦参加数学家罗杰·彭罗斯的讲座。

The next day I rang up Roger Penrose.

第二天，我打电话给罗杰彭罗斯。

British astronomer Martin Rees noted that Penrose's work fueled a " renaissance" in the study of relativity in the 1960s.

英国天文学家马丁·里斯指出，彭罗斯的工作推动了20世纪60年代相对论研究的" 复兴" 。

He added that Penrose, together with a young Stephen Hawking, helped support evidence for the Big Bang and black holes.

他还补充道，彭罗斯和年轻版的斯蒂芬·霍金一起为大爆炸和黑洞提供了支持性的证据。

For technical reasons, Penrose's theorem required that the universe be infinite in space.

由于技术原因，彭罗斯定理要求宇宙在空间上是无限的。

Now, it turns out this is actually based on this set of Penrose tiles, which are reducible to these shapes.

它其实是基于这组彭罗斯砌块，最终可以简化为这些图形。

In 1965 I read about Penrose's theorem that any body undergoing gravitational collapse must eventually form a singularity.

1965 年，我读到彭罗斯定理，即任何经历引力坍缩的物体最终都必须形成一个奇点。

Here's Roger Penrose, now Sir Roger Penrose, standing on a field of Penrose tiles.

如图是罗杰·彭罗斯，现在该称他为罗杰·彭罗斯爵士，站在由彭罗斯瓷砖铺成的地面上。

But back in the 1970s, Roger Penrose made a contribution to the world of mathematics and that part of mathematics known as tiling.

但回到 20 世纪 70 年代，罗杰·彭罗斯也为数学界做出了一个贡献，所在数学领域被称为“铺砌”。

" Penrose and Hawking are the two individuals who have done more than anyone else since Einstein to deepen our knowledge of gravity, " Rees said.

" 彭罗斯和霍金是继爱因斯坦之后，在深化我们对引力的认识方面做得最多的人。"

In mathematics, this is a property known as aperiodicity and the notion of an aperiodic tile set using only two tiles was such a sensation, it was given the name Penrose tiling.

在数学中，该属性被称为“非周期性”，仅由两种瓷砖组成的非周期性瓷砖组合轰动一时，以至于被命名为“彭罗斯铺砌”。

The thing that was remarkable about the pattern that Roger Penrose developed is that by using only two shapes, he constructed a pattern that could be expanded infinitely in any direction without ever repeating.

罗杰·彭罗斯想出的图案之所以非比寻常，是因为仅仅使用两种图形，就能组成一个向任意方向无限延展，却不会重复的图案。