As is often the case with thought experiments, detours are encountered. Here in particular, the abstract of negative volume has delivered me to a question of divisibility, dimension, and tessellation. The concept of classical volume holds that without manifesting any physical attributes, it may exist merely as a defined region of emptiness. Ancillary to this point, it seems intuitive to myself that in a division of space, all space is deserving of equal representation. With this as context, I offer the equal division of space as delineated by rays of coincident origin and mutual angular distribution. ~ A singular ray...
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Paraboloid Conformance Criteria | Steve Wait – May 5, 2020
(See in conjunction the enhanced visualization via Geogebra animation https://www.geogebra.org/m/exufcmbz ) Noted at this time, the effort described below is limited to the unique geometric qualities of the Paraboloid regardless of reflected wave form. The word “focus” is used in the context of both a focal point and ring (radially displaced). As well, dimensional applicability is interchangeable unless otherwise noted (i.e., the 2D parabola and 3D paraboloid are reciprocal). ~~~ At its most fundamental, the lack of sufficient energy density necessitates the reflector (i.e., a reflector acts to reduce a signal’s entropy). In the mode of reception, a reflector collects...
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