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The Fourth Dimension
Transcript of The Fourth Dimension
it's zero dimensional next, we have an object from the first dimension, the line a line has length, but no depth or width now it's time for the second dimension the square it has width and length but no depth the third dimension it provides depth is all around us like in the cube length width depth length length and finally... the fourth dimension it provides a fourth measurement, w
(length, width, and depth being x,y,z) in a three dimensional plane, the divisions made by x,y,z provide 6 cardianl directions up, down, east, west, north, and south the extra dimension adds two more cardinal directions: ana and kata Greek for Up Toward Greek for down from our best representation for one of the four dimensional objects is this it's known as a tesseract this is not what it actually looks like, only our best way to understand it the tesseract is actually composed of eight equal cubes
it may not look like it from the diagram (what is known as a Schlegel Diagram)
we live in a three-dimensional world, therefore it is virtually impossible to accurately depict a four dimensional object we can try, though Four Dimensionality is merely a theoretical idea... or for all we know, we could be a three dimensional world hanging on the wall of a four dimensional house but that's a topic best left for philosophers questions? the tesseract is actually part of a group of six four dimensional objects known as the regular convex polychora these are analagous to the platonic shapes in the three dimensional world they include the following:
the pentachoron, made of 5 tetrahedra
the tesseract, made of 8 cubes
the hexadecachoron, made of 16 tetrahedra
the icositetrachoron, made of 24 octahedra
the hecatonicosachoron, made of 120 dodecahedra
the hexacosichoron, made of 600 tetrahedra