There's a key difference between how we perceive and think about two dimensional space and 2+n dimensional space. If you want to seal in one geometric object with other geometric objects like in this example then in 2D it's sufficient to let the enclosing objects touch each other at their widest points, but in higher dimensions they have to touch each other at their narrower points, overlapping into each other in many cases. And in the first example which was the 2D example the outer objects touch each other at their outmost points. In 2D it looks like a full enclosure with no way for the inner circle to get through. But our brains assume that the higher dimension versions will be 100% sealing it off as well, because we saw it in the first example, right?
This is an example of a misleading first example. What actually will happen and what you expect will happen are not the same, because you got tricked by the first example.
and you can see the inner circle is much smaller than the surrounding circles in 2d, the difference is a little less so in 3d? which would continue until the so-called 'inner' circle is friggn _huge_.
I mean, everyone knows that everything is super far apart in higher dimensions, it surprises me that it takes up to 10D before he slips out-- perhaps more intuitive when i keep in mind that n-spheres are the most compact shape?
This is an example of a misleading first example. What actually will happen and what you expect will happen are not the same, because you got tricked by the first example.