What is that extra 3rd dimension?

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Take a piece of paper and sketch a simple figure on it (a cat, a dog or anything that comes to your head). Lets say it is a cat and it is facing you from that sheet of paper. So you have the front view of the cat in front of you. Suppose if you feel that you want to see the cat from a side, will it help if you rotate the paper or flip it? No. Why? It is simply because the sketch you have drawn has the 3rd dimension missing.

Every real world object that you see around has a 3rd dimension and that is the reason why you can take it and rotate it to watch it from different angles. The sketch you have drawn had a length and a width, since the paper you used to draw also had a length and a width. But it lacks a thickness (3rd dimension) and hence your sketch also didnt have that extra dimension.

Suppose instead of sketching your imagination down on the piece of paper, you decided to sculpt it on a handful of clay. Since the medium you used (clay) had volume, you had to define the cats shape from all angles during the sculpting. Hence you unknowingly added that 3rd dimension to it and that is the reason you have the freedom to rotate it any way you want.

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