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  2. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid".

  3. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Vectors. [edit] Mathematically, a four-dimensional space is a space that needs four parameters to specify a point in it. For example, a general point might have position vector a, equal to. This can be written in terms of the four standard basis vectors (e1, e2, e3, e4), given by. so the general vector a is.

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry(from Ancient Greek γεωμετρία(geōmetría) 'land measurement'; from γῆ(gê) 'earth, land' and μέτρον(métron) 'a measure')[1]is a branch of mathematicsconcerned with properties of space such as the distance, shape, size, and relative position of figures.[2] Geometry is, along with arithmetic, one of the oldest branches ...

  5. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero- dimensional points while the sides connecting them, also called edges, are one-dimensional line segments. A triangle has three internal angles, each one bounded by a pair of adjacent edges; the sum of ...

  6. Three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Three-dimensional_space

    Space has three dimensions because the length of a boxis independent of its width or breadth. In the technical language of linear algebra, space is three-dimensional because every point in space can be described by a linear combination of three independent vectors. Dot product, angle, and length. [edit]

  7. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    t. e. In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is a polyhedron that bounds a convex set.

  8. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    Properties. convex, face-transitive, edge-transitive, vertex-transitive, non-composite. In geometry, a cube is a three-dimensional solid object bounded by six square faces. It has twelve edges and eight vertices. It can be represented as a rectangular cuboid with six square faces, or a parallelepiped with equal edges.

  9. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. [a] Three equivalent definitions of parallelepiped are. a hexahedron with three pairs of parallel faces, a polyhedron ...

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