ND Cardinal Directions

Ideas about how a world with more than three spatial dimensions would work - what laws of physics would be needed, how things would be built, how people would do things and so on.

ND Cardinal Directions

Postby PatrickPowers » Sat Jan 30, 2021 6:56 am

On an even dimensional planet there would be N/2 longitudes that range from 0 to 360 and N/2-1 latitudes that range from 0 to 90. Chose one special plane of rotation -- all of the latitudes are relative to it.

On odd dimensional planets add one more longitude relative to the axis that ranges from 0 to 180.

According to Wikipedia, the usual scheme for N dimensional polar coordinates is one 360 degree longitude and the rest 0 to 180 degrees. It's more convenient for converting to-from Cartesian coordinates.
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