Dimensions

One of the things we must grapple with in the work is the following: What is a dimension? When we refer to 3-dimensional space what are we talking about, exactly?
Most of us learned that 3-dimensional space was described by the 3 dimensions we have arbitrarily named the X, Y and Z coordinates. 3 axes at 90° to each other, a rectilinear, all-space filling geometry based on the square and cube. This is what we cal Cartesian Coordinates. This idea is so firmly implanted that many people, even mathematicians, can have a lot of difficulty imagining anything different. All of our computer systems, building systems and mathematical methods are based on the concept of 3 dimensions. So, first of all I would like to show you a model of an alternative system of dimensions.

60 Degree Coordinate Model

The image at the right shows us a representation of a 4-dimensional space with the red, green, yellow and blue lines giving us a new way to look at the space we perceive around us. Now, just as with the cubic 3 dimensional system, we are showing a minimum central unit (the tetrahedron) with the 4 dimensions represented as lines passing through the midpoint of each edge of that unit. This is rather arbitrary but corresponds well with the representation we usually use for the Cartesian coordinates. For now, just consider that this system of Synergetic Coordinates is a possibility.

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