But at least I'd got the squared paper or I'd have had problems drawing it all to scale.

不过好在我带的是方纸，不然想要全部按规定比例画出来就太困难了。

Bill Chess rummaged in his wallet and drew the folded piece of ruled paper loose.

比尔·切斯在他的钱包里翻找了一下， 把折叠起来的方纸拉松了。

It does, and I just realized that my graph paper is bigger on one side than the other.

确实如此，我刚刚意识到我的方纸的一面比另一面大。

But before you waste a ton of graph paper, you should know that a true Hamiltonian path isn't possible with these end points.

但是在大量方纸之前，应该知道真正的哈密顿路径对于这些端点是不可能的。

" Let us see, " said Caleb, taking up a pen, examining it carefully and handing it, well dipped, to Fred with a sheet of ruled paper.

凯勒布说，拿起一支笔， 仔细地检查了一下， 然后把笔蘸好， 连同一张方纸递给弗雷德。

So not only are they a little hard to depict and solve on graph paper, but we believe they're even out of the reach of a quantum computer.

因此， 它们不仅有点难以在方纸上描绘和解决，而且我们相信它们甚至超出了量子计算机的范围。

Now, unlike those two- and three-dimensional geometric problems that we used to have to try to solve with pen and graph paper in high school, most of these problems are defined in well over 500 dimensions.

现在，与我们过去在高中时必须尝试用笔和方纸解决的那些二维和三维几何题不同， 这些题中的大多数都在 500 多个维度中定义。