Choose an arbitrary point on the surface of a Menger Sponge. Can you find a straight line starting at that point and extending beyond the sponge that doesn't intersect the sponge anywhere else? That is, is there a position and angle 'outside' the sponge from which an observer could see that point?
In one sense it seems the answer should be 'no', because a point on the sponge can be inside arbitrarily many twisting tunnels. But then again the construction of the shape means that every point is somehow 'near' the outside.