* for a one click look up of words you don't understand click the link
DIMENSION AND DIMENSIONS
|
DIMENSION anything one dimensional can only be imagined although reality does appear to be using the straight line as the foundation of being to imagine a line one metre long that stretches out from a point is an example of a finite line |
|
to make a square from a line... multiply the distance of the line by 2 which is called 4 squared metres ) ( 2 dimensions )to make a cube multiply the length of the line by 2 and then by 2 again which is called 8 cubic metres ( 3 dimensions ) to make a 4 dimensional cube multiply the line by 2 and then by 2 again and then by 2 again which is called 16 hypercubic meters ( which is called a four dimensional hypercube ) and so on for as many dimensions as you want entry composed by buck McHugh and the writer |
see summary and the straight line
(the absolute of being)this a 4 dimensional cube performing a double rotation about two orthogonal planes
|
NOTES DIMENSIONS anaximander and dirac both had a similar vision of the underlying fabric of reality...
|
|
NOTES 0 – a point is a hypercube of dimension zero
1 – if one moves this point one unit length, it will sweep out a line segment, which is a unit hypercube of dimension one
2 – if one moves this line segment its length in a perpendicular direction from itself; it sweeps out a 2-dimensional square
3 – if one moves the square one unit length in the direction perpendicular to the plane it lies on, it will generate a 3-dimensional cube
4 – if one moves the cube one unit length into the fourth dimension, it generates a 4-dimensional unit hypercube which is called a tesseract |
|
NOTES
|
|
NOTES this process of sweeping out volumes can be formalized mathematically as a minkowski sum: the d-dimensional hypercube is the Minkowski sum of d mutually perpendicular unit-length line segments, and is therefore an example of a zonotope the 1-skeleton of a hypercube is a hypercube graph |
|
NOTES there aren't any simple explantions that the writer could find which explain spacelet's see if making a few assumptions helps that the straight line connects all of reality it does so in 1 planck time the consideration here is that reality is infinite and how can anything be endless and exist in less than a second... point starts the square2 centimetres x 2 = 1 cube x 2 = hypercube then times 2 for a 4d cube 135 degrees is 50% larger than 90 degrees square... an edge times an edge equals a square ~~~~ "every point in our space is part of a perpendicular line although all the lines forming the fourth dimension are perpendicular to every point in the third dimension they're not necessarily parallel to us if enough of the lnes are parallel in both dimensions in a given area they might create an opening or access to it" (quote from "liitle girl lost"; an episode from the original series of "the twilight zone" |
