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[[File:Vitruvian orthographic projection.jpg|thumb|Vitruvian orthographic projection]]
[[File:Vitruvian orthographic projection.jpg|thumb|Vitruvian orthographic projection]]
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night. Ā 
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night. Ā 
[[File:The relation between the Vitruvian Dial, Ptolemy's Analemma.jpg|thumb]]
[[The_relation_between_the_Vitruvian_Dial,_Ptolemy's_Analemma.jpg|thumb]]
From the longest day to the day of equal night which exhibits zero curvature, to the shortest day of the year, the limits of the patterns recorded over the course of around 183 days are realised as a cyclic process shifting backwards and forwards over the same information, informing the projection the annular cycle, resulting a complex set of hyperbolic arcs with postivie negative and zero curvature. From the days of equal night, know as the Equinoxes, our orientation in space, and the latitudinal directions West East is determined. From the Crests of the hyperbolic arcs that define the longest and shortest days of the year, known in temperate regions as the summer and winter solstices, and defined as the registration of the "Zenith" and point at which the Sun is directly above (boreas) the gnomic indicatorĀ  Noontime, our orientation North South is defined. Ā 
From the longest day to the day of equal night which exhibits zero curvature, to the shortest day of the year, the limits of the patterns recorded over the course of around 183 days are realised as a cyclic process shifting backwards and forwards over the same information, informing the projection the annular cycle, resulting a complex set of hyperbolic arcs with postivie negative and zero curvature. From the days of equal night, know as the Equinoxes, our orientation in space, and the latitudinal directions West East is determined. From the Crests of the hyperbolic arcs that define the longest and shortest days of the year, known in temperate regions as the summer and winter solstices, and defined as the registration of the "Zenith" and point at which the Sun is directly above (boreas) the gnomic indicatorĀ  Noontime, our orientation North South is defined. Ā 
[[File:Analemma to Cube Cage.jpg|thumb]]
[[File:Analemma to Cube Cage.jpg|thumb]]
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