Sheaf of planes
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In mathematics, a sheaf of planes is the set of all planes that have the same common line.[1][2] It may also be known as a fan of planes or a pencil of planes.
When extending the concept of line to the line at infinity, a set of parallel planes can be seen as a sheaf of planes intersecting in a line at infinity. To distinguish it from the more general definition, the adjective parallel can be added to it, resulting in the expression parallel sheaf of planes.[3]
See also
[edit | edit source]- Book embedding, a notion of graph embedding onto sheafs of half-planes
Notes
[edit | edit source]- ^ Definition on Mathworld Wolfram
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Vitutor: Sheaf of Planes