Concept cluster: Math and astronomy > Geometry (2)
n
(geometry) Any geometry whose axiomatic system extends that of absolute geometry (in the singular sense) and neither assumes nor contradicts the parallel postulate.
n
(countable) A geometry that is otherwise Euclidean but disregards lengths and angle sizes.
adj
Resembling algebra.
adj
Relating to algebraic geometry.
adj
(mathematics) toric but having oppositely orientations
n
The establishment of the two-dimensional position of a point, relative to a fixed point, by first establishing the position of an intermediate point
adj
(taxonomy) consisting of two names
adj
(mathematics) Between two tangent planes
n
(mathematics) the envelope of all rays that emanate from a specified point (the radiant point) and reflect from a given curve; the evolute of the orthotomic
n
(mathematics) A point, within an object or figure, through which any straight line also passes through two points on the edge of the figure at the same distance from the centre but on opposite sides.
adj
(mathematics) Having a centre of symmetry.
adj
Of or pertaining to a clarithmetic
n
Alternative spelling of coordinate [(mathematics, cartography, astronomy) A number representing the position of a point along a line, arc, or similar one-dimensional figure.]
n
Used other than figuratively or idiomatically: see contact, geometry.
adv
(mathematics) By or with respect to coordinates or an individual coordinate.
adj
(mathematics) orientable in a codimension
adj
(mathematics) dually reflective
n
The dual of a simplex.
n
A graphical protocol which creates three-dimensional virtual space on a two-dimensional plane.
adj
(mathematics) Of, relating to or formulated by Alfred Dixon.
n
Synonym of Ramer-Douglas-Peucker algorithm
n
The inherent symmetry of a crystal irrespective of its orientation and location in space
adj
(of speech) Concise, condensed.
n
(mathematics) Synonym of hypograph
adj
(mathematics) Increasing by equal increments.
adj
Of or relating to Euclidean zoning.
adj
Alternative spelling of Euclidean [(geometry) Adhering to the principles of traditional geometry, in which parallel lines are equidistant.]
n
(mathematics) A vector in four-dimensional vector space, especially one having three spatial dimensions and one temporal dimension.
n
Synonym of Gaussian curvature
adj
Pertaining to gematria or values obtained by it.
n
(mathematics) The property of a smooth curve being a geodesic or of a vector field to be geodesic in the context of differential geometry.
n
(geometry) Abbreviation of geometry. [(mathematics, uncountable) The branch of mathematics dealing with spatial relationships.]
adv
By means of, or in terms of, geomathematics.
n
geometric mean
n
A mathematician who specializes in geometry.
adj
(obsolete) geometric
adv
With regard to, or by means of projective geometry
adj
geometrical
adj
(of a design) Consisting of lines and simple shapes.
n
Synonym of geometric progression
adv
Concerning geometrics.
n
A geometer; a mathematician specializing in the study of geometry.
n
(mathematics) The condition of being geometric, or of having been geometricized.
adj
geometrid
n
(art) a focus on geometric forms in visual art or the various movements that have engaged in it
n
(mathematics) The description of a space as a geometry.
n
(countable) The observed or specified spatial attributes of an object, etc.
n
(mathematics) A particular form of matroid.
n
(statistics) Synonym of Chapman-Robbins bound
n
(mathematics) a fractal based on a simple geometric shape and a simple generating motif
adj
(mathematics) Relating to, or by means of interpolation
adj
Using or relating to isolines (isarithms).
n
(The use of) a nonlinear dimensionality-reduction method for generating a quasi-isometric, low-dimensional embedding of a set of high-dimensional data points, allowing for visualization etc.
adj
(mathematics) Having the same parameters (under different coordinate systems)
n
(geometry) The set of points for which two tangents of a given curve meet at a given angle.
adj
Having (or maintaining) the same symmetry
adj
(mathematics) Synonym of matric
adj
Pertaining to matrices
n
(geology) A geological matrix.
n
(mathematics) A geometrician whose speciality is non-Euclidean geometry
adj
(mathematics) of or relating to monodromy
adj
(geometry, of a line) That passes through exactly one vertex (of a polygon or polyhedron).
n
(mathematics) A tiling using a monotile
adj
(mathematics) Composed of horizontal, vertical and/or diagonal (45 degrees) line segments only
n
The class of scale or magnitude of any amount, where each class contains values of a fixed ratio (most often 10) to the class preceding it. For example, something that is 2 orders of magnitude larger is 100 times larger, something that is 3 orders of magnitude larger is 1000 times larger, and something that is 6 orders of magnitude larger is a million times larger, because 10² = 100, 10³ = 1000, and 10⁶ = a million.
n
When being turned through a full revolution, the number of times a shape looks the same as in the initial orientation.
v
(engineering) To dimension using ordinate dimensions.
adj
(software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
adj
(mathematics) Describing a graph having a planar embedding such that the vertices lie on a circle and the edges lie inside that circle
n
(dated) A generalized geometry in any number of dimensions; the study of hypergeometries.
n
(geometry) A line or plane that is perpendicular to another.
adj
Of or relating to a geometric plane.
n
The study of figures having parts that lie in a singular plane.
n
(geometry) A planene about which a geometric figure is symmetric (by reflection)
n
(projective geometry) A duality that is an involution, i.e. has order two. ᵂᵖ
n
(mathematics) The subdivision of a plane into polygons
adj
(mathematics) Describing a variable that has multiple (more than two) categories
adj
(mathematics) multivariant
n
(mathematics) Any of several specific generalizations of a metric.
n
A basic geometric shape from which more complex shapes can be constructed.
adj
(mathematics) That is isotropic in the three physical dimensions but not in some higher dimension
n
Synonym of Pythagorean theorem (“theorem regarding the hypotenuse of a right triangle”)
n
quaternionic contact
adj
(mathematics)
adj
(mathematics) Of or pertaining to a quaternion
n
One who studies or promotes the use of quaternions.
n
(geometry) The truncation of a polyhedron by replacing each vertex with a face that passes though the midpoint of each edge connected to the vertex; an analogous procedure on a polytope of dimension higher than 3.
n
A certain characteristic of a symmetric second-rank tensor in three-dimensional Euclidean space, describing its directional asymmetry.
adj
(physics) Conforming to a Ritz series.
n
(geometry) The property a shape has when it looks the same after some rotation by a partial turn.
n
(mathematics) A generalised helicoid
n
The ascription of symbolic and sacred meanings to certain geometric shapes and proportion, associated with the belief that a god is the geometer of the world.
adj
(mathematics) Describing each of the equal line segments into which the conjugate axis of a hyperbola is divided by the centre of symmetry
n
Synonym of mesh number
adj
(mathematics) Of geometrical figures including triangles, squares, ellipses, arcs and more complex figures, having the same shape but possibly different size, rotational orientation, and position; in particular, having corresponding angles equal and corresponding line segments proportional; such that one can be had from the other using a sequence of rotations, translations and scalings.
adj
Having to do with, or having, simplices.
adj
(dated, mathematics) of, relating to, or constructed using sines
n
Interpolation by transformation into quaternions, followed by lerp, followed by the reverse transformation.
adj
Pertaining to, or describing a superformula
n
(physics, mathematics) The extension of a manifold to a supermanifold
adj
That moves in the same direction as a system of synchronized waves.
n
A school of thought on thinking and geometry developed by Buckminster Fuller.
adj
(geometry, shapes)
adj
(mathematics, physics) Of a four-vector in representing a point in spacetime, having a positive or negative four-vector norm for the metric signature (+, -, -, -) and (-, +, +, +) respectively.
n
(geometry) A transfiguration consisting of reflection about a line combined with translation along the same line.
n
A mathematician who uses trigonometry.
adj
(mathematics) trijective and holomorphic
n
(geometry) The replacement of a solid angle by a plane, or a similar operation in other dimensions.
adj
Ungeometrical.
n
(projective geometry) The plane onto which an object is projected in a parallel or perspective projection
adj
(geometry) Having zero dimensions; having no extent in any direction.

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