We
start with a “small” trapezoidal area,
which is 99.999999% flat, and take a bird-eye
picture of the round Earth to map it. This eliminates
the need for projection mapping. The small trapeziums,
which become triangles at the poles, are not “stretched”
to rectangles but retained their true shape.
15 small trapeziums of 5’x5’ area
will perfectly with the neighbors to produce a
15’15’ topographic map at 1:50, 000
scale.
These non-projected areas are mapped to produce
Kmaps and KCharts with practically zero distortion,
true North and true scale. Contouring with ellipsoidal
heights will depict topographic relief on maps,
while ellipsoidal depths will produce “spot”
depths and bathymetric contours in ocean areas.
There will be no break in position coordinates
between any two maps and/or charts, adjoining
or far apart. This technique will work perfectly
for cadastral surveys and property plats.
Computerized version on CDs will allow a captain
of a ship and/or operator of a motorized vehicle
on the monitor screen to navigate on the real
Earth surface.The Kmaps and KCharts can cover
the Earth like a “blanket” from pole
to pole and East to West around the globe. |
