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ovoids
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The answer OVOIDS has 17 possible clue(s) in existing crosswords.
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The word OVOIDS is VALID in some board games. Check OVOIDS in word games in Scrabble, Words With Friends, see scores, anagrams etc.
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Definitions of ovoids in various dictionaries:
noun - an egg-shaped object
adj - an egg-shaped body [n -S] : OVOIDAL
OVOIDS - In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective ...
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| Plural form of ovoid. |
| an ovoid body or surface. |
| Ovoids description |
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In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space are hyperspheres (quadrics). The essential geometric properties of an ovoid * * * * * * O * * * * * {\displaystyle {\mathcal {O}}} * are:* Any line intersects * * * * * * O * * * * * {\displaystyle {\mathcal {O}}} * in at most 2 points, * The tangents at a point cover a hyperplane (and nothing more), and * * * * * * * O * * * * * {\displaystyle {\mathcal {O}}} * contains no lines.Property 2) excludes degenerated cases (cones,...). Property 3) excludes ruled surfaces (hyperboloids of one sheet, ...). * An ovoid is the spatial analog of an oval in a projective plane. * An ovoid is a special type of a quadratic set * Ovoids play an essential role in constructing examples of Möbius planes and higher dimensional Möbius geometries. |