theory of equality through equidistance in space
this theory is simple.
as with any theory, it is accompanied by certain assumptions:
assumption #1
That two physical objects cannot occupy the same space at the same time.
assumption #2
That by striving for a model of equidistance, we are striving for a system which promotes equality.
to understand the theory, one must only look at three points in space. an equal distance between objects creates a triangle. if we add another point in 2 dimensional space, it is no longer able to be equidistant with each and every other point.
thus,
we must move to three dimensions.
in three dimensions we are able to space 4 points at equidistant spacing by placing them at the four corners of a triangular pyramid. if we add another point as we tried before, we can no longer place them equidistantly.
this implies further iterations which pervade subsequent dimensions.
now consider our limits to be two dimensions as human beings. We are three dimensional; however potential energy due to gravity arguably does not allow us to be spatial equals at different heights. (assumption #3 – we are limited by physical laws)
limited to 2 dimensions as mentioned before limits us to three points in space to create equidistance.
assumption #4 – there are more than three people in the world.
thus, a model for equality through equidistance of all the individuals of the world cannot exist in 2 dimensional space.
we are then forced to approximate an equal relationship over time. technology has reduced the limits of disconnect due to physical distance. surely it won’t be long before we can interact with representations of each other regardless of distance, however:
my curiosity lies in a spatial method of approximating an equidistant relationship over time through movement of individuals. I am curious about the analytical results of striving for equality through equidistance and possible implications for dynamic architecture.