Geometry And Shapes
31 entries in the Geometry And Shapes compendium.
ShapeGeometric information remaining after removing location, scale, orientation, and reflectioSquareA regular quadrilateral with equal sides and right angles.Triangle inequalityA fundamental theorem on triangle side lengths.TessellationTessellation covers surfaces with shapes, no gaps or overlaps.TetrahedronA polyhedron with four triangular faces and four vertices.Solid geometryGeometry of three-dimensional Euclidean space and solid figures.SphereA sphere is a set of points equidistant from a center in 3D space.Spherical coordinate systemA system using distance and two angles to locate points in space.Shear mappingAn affine transformation displacing points proportionally to signed distance.Similarity (geometry)Two objects are similar if they have the same shape.Sierpiński triangleA self-similar fractal formed by recursively removing triangles.Scaling (geometry)Scaling transforms objects by multiplying coordinates by scale factors.Solid angleA measure of the field of view an object covers from a point.Space (mathematics)A set with structure defining relationships among its elements.Star polygonNon-convex polygon with intersecting edges, often star-shaped.Surface (mathematics)A two-dimensional mathematical model generalizing the plane.Surface areaMeasure of total area of a solid object's surface.Surface of revolutionSurface created by rotating a curve around an axis.Surface (topology)A surface is a two-dimensional topological manifold.Symmetry (geometry)Symmetry is invariance under geometric transformations.TangentThe line that just touches a curve at a point.Three-dimensional spaceThree coordinates define a point in space.Two-dimensional spaceA mathematical space with two degrees of freedom.Unit circleA circle of radius 1, central to trigonometry and complex analysis.VolumeVolume quantifies three-dimensional space and container capacity.Zero-dimensional spaceTopological space with dimension zero under several definitions.Rotation (mathematics)A geometric motion preserving at least one point.PolygonA plane figure of connected line segments forming a closed chain.PolyhedronThree-dimensional figures with flat faces, straight edges, and vertices.Parallel (geometry)Parallel lines are coplanar lines that never meet.Plane (geometry)Two-dimensional Euclidean space with distance and angle.
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