The book Flatland: A Romance of Many Dimensions by Edwin A. Abbott explores the concept of physical dimensions through characters who encounter higher-dimensional beings. The protagonist, “A. Square,” ...

Watanabe invented a new way of distinguishing shapes on his way to solving the last open case of the Smale conjecture, a central question in topology about symmetries of the sphere. In a burst of work ...

The nature of what the universe is expanding into is complicated, say our readers, and may be beyond our comprehension It is all too easy to think of the big bang and the resulting expanding universe ...