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Tesseract #3: Square, Cube, ???

I got pretty sidetracked last post with whether we exist or not, so I'll be explaining the Tesseract today.

First, thing about the square. It is put together using four lines, and has length and width. Next, consider the cube. It is made of six squares, and has length, width, and height. Finally, consider the next shape, commonly known as the tesseract. You can compare the way we see it to the way Flatlanders see a spinning cube. They can only see a small part of it, and half the time it doesn't even look like a square. To us, the tesseract looks like a cube with a smaller cube inside of it, slowly spinning. As it spins, the cubes slowly change positions. I'll be posting one of these animations soon.

Think about the plan for a cube. Six squares in that cross position. Now imagine the floor plan for the tesseract. Eight cubes arranged in a cross. I'll post it along with the tesseract animation.

Finally, remember that we can barely begin to understand what the tesseract looks like. We are trying to see a four-dimensional shape using eyes that can only see in two dimensions. There's going to be something lacking in the translation. Have a nice day!

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Tesseract #2: Existence

You now have the rudimentaries of dimensions down (and if you don't I recommend you check out Tesseract #1), but our interest isn't in Flatland - it's in Sphereland. There are many ways we can use these dimensions for our own purposes.

The problem of whether or not we exist came up when I realized that two-dimensional beings have no height, and since volume is area multiplied by height they have no volume. Using the same method on three-dimensional beings shows that we have no four-dimensional height, and therefore none of us exist.

Happily, I was abe to come to a satisfactory conclusion that proves at least the existence of our actual bodies, if not anything else. Each plane adds a new variable. The 1st plane adds length, the 2nd adds width, the 3rd adds height and the 4th adds what I'm going to call depth, which is impossible to perceive in the third dimension. Each plane also has a unit of measurment, which is always the one before squared. For instance, the 2nd plane has area and the 3rd plane has volume. Flatlanders exist in area even if they don't in volume. We exist in volume even if we don't in four-dimensional space. Thanks, and have a great day!

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Tesseract #1: Flatland

This first idea came about in Geometry class and is based in philosophy and math. Today is going to be the introduction to a potentially long thought concerning dimensions.

Flatland is a book about two-dimensional geometrical figures, specifically centered around a square named Arthur. These Flatlanders live in a two-dimensional plane, and they go about their lives without knowledge of height. All this changes when Arthur receives a visit from a strange and powerful shape he has never heard of - a sphere. The sphere tells him that there is a third dimension and shows him Lineland (A one-dimensional world) and Pointland (a zero-dimensional world).

This book uses the second dimension to show us what it would be like for us if a four-dimensional figure appeared to us, and gives us many interesting points to ponder. Tomorrow I'll be going over some of these points and introducing you to the Tesseract, or the four-dimensional square.

Have a wonderful day!