Try drawing a square grid like this, and simulating Hedge’s path over it.

试着画一个这样的正方形网格，并模拟 Hedge 在其上的路径。

Then any shape that's not a grid square can be approximated by grid squares pretty well with arbitrarily go to approximations if you use small enough grid squares.

然后 如果你使用足够小的网格方块 任何不是网格方块的形状都可以很好地用网格方块近似。

When I animate 2D space, I typically use this square grid, but that grid is just a construct, a way to visualize our coordinate system, and so it depends on our choice of basis.

当我给二维空间做动画时 我通常使用这个方形网格 但这个网格只是一个构造 一种可视化坐标系统的方法 所以它取决于我们选择的基。

So since the areas of all those tiny grid squares are being scaled by some single amount, the area of the blob as a whole will also be scaled by that same single amount.

因此 由于所有这些小方格的面积都被按一定的比例缩放 整个斑点的面积也将按相同的比例缩放。