A set of planes sharing a point in common. For planes specified in Hessian normal form, a bundle of planes
can therefore be specified as
where 
are free real parameters. This can be made more symmetrical by introducing homogeneous
parameters 
and 
to obtain
(Gellert et al. 1989, p. 543).
See also
Plane,
Plane-Plane
Intersection,
Sheaf of Planes
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References
Gellert, W.; Gottwald, S.; Hellwich, M.; Kästner, H.; and Künstner, H. (Eds.). VNR
Concise Encyclopedia of Mathematics, 2nd ed. New York: Van Nostrand Reinhold,
1989.Referenced on Wolfram|Alpha
Bundle of Planes
Cite this as:
Weisstein, Eric W. "Bundle of Planes."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BundleofPlanes.html
Subject classifications
