Do you ever wonder if there’s something else out there – another world, a world different to our own, something bigger than this? As much as this may sound like the sort of ‘transcendental universe’ you might discuss in one of the more exciting R.E. lesson, in maths it is a real possibility.
Recently, I’ve been dipping in and out of Martin Gardner’s Colossal Book of Mathematics. If this book doesn’t live up to its title, I don’t know what does. Weighing roughly the same as a small elephant, it covers topics from recreational mathematics but also from more advanced areas , such as the concept of hyperspace. See the Resources section of this blog for a more detailed review.
When you start learning about shapes, you learn about the first three dimensions: 1D is limited to straight lines, 2D is flat, and 3D is made up of points in all three directions.
It’s perfectly reasonable to imagine, then, that shapes can extend into a fourth dimension. But how would this look? Can we even picture it?