This is one of the best five minute explanations of 10 dimensions I've seen. It starts off with the familiar point -> Line explanation.
Might be fun to do a 10 dimensional mapping challenge, lol!
"Mapping" in 10 dimensions isn't cartography, it's math.
In math, what we do here are called charts. A map is a more generalized function.
Actually, a lot of cartography is done in more than three dimensions. Say, for example: latitude, longitude, altitude(), population density, mean temperature, annual precipitation, landuse, vegetation, slope, median income. I don't know exactly what that map would be for, but I have used all of those values in a map at some point. That's ten dimensions, right there.
My favorite method for 3-d starmapping was the one I first saw in Space Opera, x and y coordinates are shown by the position on the flat map surface with z denoted by a number superscripted to the point representing the star. This works well for discrete positions like stars, not as well for places on a continuous surface like the ground. Conversely, while I like the contour starmap idea as a novelty, I don't think it applies well. The space between stars is empty and doesn't logically have an elevation.
Last edited by su_liam; 12-16-2009 at 02:42 PM.
Astrographer - My blog.
Klarr
-How to Fit a Map to a Globe
-Regina, Jewel of the Spinward Main(uvmapping to apply icosahedral projection worldmaps to 3d globes)
-Building a Ridge Heightmap in PS
-Faking Morphological Dilate and Contract with PS
-Editing Noise Into Terrain the Burpwallow Way
-Wilbur is Waldronate's. I'm just a fan.
Please see the attached map for a 10th dimensional image:
Daniel the Neon Knight: Campaign Cartographer User
Never use a big word when a diminutive one will suffice!
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Neon that's an amazing map! I saw it last year, in another lifetime!
Neon, I don't see a map, or is that the point? (Sorry have finally gotten to writing Christmas Cards and my mind isn't here (Not that it ever is))
If you do a map that catalogues say the changes of Empire in Europe from 0AD-2000AD have you made a 4D map, since you are computing the time factor. By this I would mean that you do it as say one of those Youtube videos where someone has just done loads of maps and just placed them order.
Great link, Ravi.
Cheers,
Tim
Paratime Design Cartography
"Do infants have as much fun in infancy as adults do in adultery?" - Groucho Marx