Anton couldn't catch Tom Riddle. He and Dumbledore were always one step behind Tom.
Yes, everyone had their specialty. Tom had nearly turned Apparition into an art form. He kept blinking in and out of different places, just like anyone else using the spell, yet somehow gave the uncanny impression that he was flying straight through the air.
It was as though the whole world had turned into a sheet of paper beneath Tom's wand. Then Tom crumpled and kneaded it, transforming himself into a silver needle that pierced straight through the middle, creating the illusion of broken, jumping images in the eyes of ordinary people.
The Flight Charm.
No, just as Transfiguration was discussed separately from Charms, this should be called Flight Magic.
Professor Snape was probably the only person who had received complete instruction in Flight Magic from Voldemort, and he had passed it on to Anton without reservation.
It was an extraordinarily unique magical theory: first there was the self, then the world. The self remained unmoved while the world moved. This was a kind of magic that placed the self at its center.
By contrast, although Anton had also studied it, and the effects of Time Reversal had allowed him to achieve a kind of Spatial Anchoring with the Old Wizard, Fiennes, he had taken a completely different path. (Chapter 745)
Magic was the power of the mind.
Tom had eyes only for himself. To him, the outside world was simply a response to and consequence of his every action.
Anton, on the other hand, cared more about people's social nature. He focused on the "place" intelligent beings occupied in the world—the subtle interactions between people and their environment, people and society, people and the world, and everything else.
This seemingly simple chase using Apparition was