Definitions
from The Century Dictionary.
- In a stereographic manner; by delineation on a plane.
from the GNU version of the Collaborative International Dictionary of English.
- adverb In a stereographical manner; by delineation on a plane.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adverb In a
stereographical manner; bydelineation on aplane .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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If you highlight a torus (a doughnut shape) in a 4-dimensional sphere (yes, a torus can be a subset of a 4-dimensional sphere) and then stereographically project the torus into 3 dimensions, you get a deformed torus - and it gets REALLY deformed as you roll the sphere around in 4-D land:
Archive 2008-08-01 Jonathan Aquino 2008
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If you highlight a torus (a doughnut shape) in a 4-dimensional sphere (yes, a torus can be a subset of a 4-dimensional sphere) and then stereographically project the torus into 3 dimensions, you get a deformed torus - and it gets REALLY deformed as you roll the sphere around in 4-D land:
Dimensions video series Jonathan Aquino 2008
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For example, if we want to visualize the 4-dimensional equivalent of a cube (called a "hypercube", with 16 nodes and 32 edges), we can get a feel for it by "stereographically projecting" it into 3-dimensions:
Dimensions video series Jonathan Aquino 2008
-
For example, if we want to visualize the 4-dimensional equivalent of a cube (called a "hypercube", with 16 nodes and 32 edges), we can get a feel for it by "stereographically projecting" it into 3-dimensions:
Archive 2008-08-01 Jonathan Aquino 2008
-
(they are stereographically projected onto a 3-sphere, rotated and projected back down to flat 3-space)
Why Can’t We Visualize More Than Three Dimensions? Sean 2009
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