PSEUDOSPHERE

Definition: PSEUDOSPHERE

PSEUDOSPHERE

Noun

1. The surface of constant negative curvature generated by the revolution of a tractrix. This surface corresponds in non-Euclidian space to the sphere in ordinary space. An important property of the surface is that any figure drawn upon it can be displaced in any way without tearing it or altering in size any of its elements.

Source: Webster's Revised Unabridged Dictionary (1913)

Frequency of Internet Keywords: PSEUDOSPHERE

Specialty Definition: Pseudosphere

A pseudosphere is a Riemannian manifold with constant negative intrinsic curvature. It can be defined with any number of dimensions >=2; the rest of the article will discuss the two-dimensional one.

The pseudosphere is the space described by hyperbolic geometry. It has a unit of length, the anti-radian (is that right?), which is the radius r of a circle whose circumference is 2πsinh(1)r.

It is impossible to embed a complete pseudosphere smoothly in R³. It is possible to embed part of it as a tractricoid.

Anagrams: PSEUDOSPHERE

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "d-e-e-e-h-o-p-p-r-s-s-u"
	-2 letters: superposed.
	-3 letters: oppressed, superpose, supersede.
	-4 letters: deposers, espoused, espouser, euphroes, purposed, purposes, pushrods, rehoused, rehouses, repousse, shoppers, speeders, speedups, supposed, supposer.
	-5 letters: deposer, deposes, depress, dousers, epopees, espouse, euphroe, heeders, heredes, hoppers, housers, oppress, peepers, peeress, perdues, perused, peruses, poseurs, pressed, pseudos, purpose, pushers, pushrod, rehouse, reposed, reposes, reseeds, reshoes, rushees, seeders, sheered, shopped.
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