stereographically love

stereographically

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; by delineation on a plane.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

stereographical +‎ -ly

Examples

  • 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

  • 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

  • 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

  • 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

  • (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?

Comments

Log in or sign up to get involved in the conversation. It's quick and easy.