4 DIMENSIONAL GEOMETRY

Closing Space

            Solid objects, described as 3D, are in fact 4D as they require a fourth plane to close the space and thus limit an object from one perspective.

Diagram 1: Closing an object

4D Space

            4D space can then be defined as 4 planes which enclosed a space. This gives is the familiar tetrahedron.

Diagram 2: 4D "Tetra Grid"

This gives us the tetrahedronal axis f(w,x,y,z):

image courtesy Josef Hasslberger

 


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