[Home]History of Mapping

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Revision 9 . . (edit) April 7, 2007 2:04 pm by Simons Mith [Added reflection mapping]
Revision 6 . . November 22, 2004 9:17 pm by Simons Mith
Revision 5 . . November 1, 2004 1:54 pm by acb93a44.ipt.aol.com [Changed "rotation mapping" to "rotational mapping" for consistency with other articles.]
  

Difference (from prior major revision) (minor diff, author diff)

Changed: 1,19c1,22
The setting up of equivalences between points on a map or, on occasion, between points on more than one map. These points are usually otherwise unconnected, although there are interesting looping possibilities otherwise.

There are many mechanisms for specifying mappings:

* Rotation Mapping
* nominative mapping
* translation mapping
* transformation mapping
* Kielder mapping

Note that mapping is distinct from tunnelling, although the results achieved may superficially be similar.

The following are some key differentiators between mapping and tunnelling:

# tunnelling is selective at point of transfer, whereas mapping is indiscriminate upon application of the map
# mapping folds the manifold to force all mapped elements to the same point, whereas tunnelling forms a temporary conduit
# movement between mapped points is instantaneous because the points are considered coexistent, while tunnel traversal has a measurable travel time

[Dx] [Darren]
The setting up of equivalences between points on a map or, on occasion, between points on more than one map. These points are usually otherwise unconnected, although there are interesting looping possibilities otherwise.

There are many mechanisms for specifying mappings:

* reflection mapping
* rotation mapping
* nominative mapping
* translation mapping
* transformation mapping
* Kielder mapping

Note that mapping is distinct from tunnelling, although the results achieved may superficially be similar.

The following are some key differentiators between mapping and tunnelling:

# Tunnelling is selective at point of transfer, whereas mapping is indiscriminate upon application of the map.
# Mapping folds the manifold to force all mapped elements to the same point, whereas tunnelling forms a temporary conduit.
# Movement between mapped points is instantaneous because the points are considered coexistent, while tunnel traversal has a measurable travel time.

[Dx] [Darren]


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