Ordered geometries for optomized holographic projection

An energy waveguide system for defining a plurality of energy propagation paths comprising:

• an array of energy waveguides, the array comprising a first side and a second side, and being configured to direct energy therethrough along a plurality of energy propagation paths extending through a plurality of energy locations on the first side;
• wherein a first subset of the plurality of energy propagation paths extend through a first energy location;
• wherein a first energy waveguide is configured to direct energy along a first energy propagation path of the first subset of the plurality of energy propagation paths, the first energy propagation path defined by a first chief ray formed between the first energy location and the first energy waveguide, and further wherein the first energy propagation path extends from the first energy waveguide towards the second side of the array in a unique direction which is determined at least by the first energy location;
• and
• wherein each waveguide of the array of waveguides comprises a shape of a set of one or more shapes configured to tessellate across a transverse plane of the energy waveguide system, the array of energy waveguides being arranged in a tiling of the one or more shapes across the transverse plane of the energy waveguide system.