VOID ( VOID ( VOID ( PLANE ) ) )
VOID ( VOID ( VOID ( SOLID ) ) )
Following through from the previous conjectures this image signifies the idea of a fully ‘realised’ plane giving rise to the potential for an evolving ‘virtual’ solid.
Introduce a fourth point and the plane of infinite width containing an infinite number of infinitesimal points, squared, becomes a solid spatial object of ‘real’ as opposed to ‘virtual’ infinitesimal thickness. This point may or may not be located above or below the plane. However or wherever its position, the idea of its existence necessitates the conceptualisation of a third dimension, if only to accommodate a further point within the smallest possible distance of the rest.
If the smallest possible shape for a plane is triangular then the introduction of an evolving fourth dimensionless point, with the potential for three dimensional reality, suggests the smallest space possible must be tetrahedral in nature. This may still be infinitesimally small, virtually indistinguishable from a nothing at all but as Georg Wilhelm Friedrich Hegel puts it:
“Frivolity as well as the boredom that open up in the establishment and the indeterminate apprehension of something unknown are harbingers of a forthcoming change. This gradual crumbling which did not alter the general physiognomy of the whole is interrupted by the break of day that, like lightning, all at once reveals the edifice of the new world.”