Wednesday, July 05, 2006
HexaPent
Four freedoms of the global grid: to vary frequency, orientation, altitude, to fold/unfold. The viewer has yet additional freedoms.
The latitude/longitude grid gives the illusion of regular quadrilaterals (squares) nearest the equator, and furthest from the two poles where longitudinal gore tips meet.
The global matrix, backward-compatible with lat/long, gives the illusion of regular hexagons in regions furthest from the 12 pentagons. Irregularities are more evenly distributed.
Both grids fold/unfold, using various algorithms e.g. Fuller's and Snyder's.
Related links:
Fuller's Geoscope Project (global data displays)
Glenn Stockton's Global Matrix Project (Math Forum citation)