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An ovoid is the surface in 3-dimensional space generated by rotating an oval curve about one of its axes of symmetry. The adjectives ovoidal and ovate mean having the characteristic of being an ovoid, and are often used as synonyms for "egg-shaped".
A type of fruit, usually woody, ovoid to globular, including scales, bract s, or bracteoles arranged around a central axis, e.g. in gymnosperms, especially conifers and Casuarina. conflorescence A rarely used term describing substantial differences between the overall structure of an inflorescence and that of its individual branches, e.g. the ...
For an ovoid and a hyperplane , which contains at least two points of , the subset is an ovoid (or an oval, if d = 3) within the hyperplane . For finite projective spaces of dimension d ≥ 3 (i.e., the point set is finite, the space is pappian [ 1 ] ), the following result is true:
Concretions are often ovoid or spherical in shape, although irregular shapes also occur. The word concretion is borrowed from Latin concretio ' (act of) compacting, condensing, congealing, uniting ' , itself derived from concrescere ' to thicken, condense, congeal ' , from con- ' together ' and crescere ' to grow ' .
The higher dimensional analog of an oval is an ovoid in a projective space. A generalization of the oval concept is an abstract oval, which is a structure that is not necessarily embedded in a projective plane. Indeed, there exist abstract ovals which can not lie in any projective plane.
I focused on simple exercises. Research shows that enjoyment is the primary reason people stick with a new physical activity routine.Translation: Making workouts fun is a great way to stay ...
An ovoid is a quadratic set and bears the same geometric properties as a sphere in a projective 3-space: 1) a line intersects an ovoid in none, one or two points and 2) at any point of the ovoid the set of the tangent lines form a plane, the tangent plane. A simple ovoid in real 3-space can be constructed by glueing together two suitable halves ...
An ovoid in a 3-dimensional projective space is a set of points, which a) is intersected by lines in 0, 1, or 2 points and b) its tangents at an arbitrary point covers a plane (tangent plane). The geometry of an ovoid in projective 3-space is a Möbius plane, called an ovoidal Möbius plane. The point set of the geometry consists of the points ...