Where is the center of the Universe?

In other words, at what point would a extremely powerful telescope capable of seeing the most distant known objects find equally distant objects when pointed in all possible 3-dimensional directions relative to its own position? Are we at that point? Is every other point in the Universe there too? How can that be?

This is a continuation in the Strange Universe series.
1—If CERN proves there are parallel universes, will you move?
2—If the universe expands at faster than the speed of light, does it begin to go back in time?
3—What is the expanding universe expanding into?
4—Big Bang Theory—How can you divide infinity into a single finite whole?
5—How would you answer this speed-of-light question?
6—What happens when the expansion of the Universe reaches the speed of light?
7—What’s your Strange Universe example to illustrate Sir Arthur Eddington’s quote?