I had become fascinated with the idea of the fourth dimension as a junior high student reading science fiction comic books. ... and just before that, another triangle. What do we get halfway through?

For each of these less-than-360-degree angles you get positive curvature and the shapes bend around into regular three-dimensional polyhedrons—but when you have 6 triangles connecting at a ...

In his 1884 novel Flatland, Edwin Abbot highlights the problem of trying to observe dimensions beyond your own. The narrative follows the life of a square in a two-dimensional world populated by ...

THE fourth dimension and non-Euclidean geometry have achieved a prominence quite unprecedented for mathematical topics. In train, bus and tram, over lunch and at the theatre, intelligent man is ...

Trying to visualize fourth-dimensional shapes with our three-dimensional mindset is tricky, as author Edwin Abbott illustrated in his novella “Flatland,” where a square comes to terms with ...

Greene offers up a garden hose as a good example of what the fourth dimension looks like. From far away, this garden hose may look one-dimensional to the naked eye. From a distance, we simply can ...