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== Wolfram MathWorld == | == Wolfram MathWorld == | ||
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* Polyhedron: The word polyhedron has slightly different meanings in geometry and algebraic geometry. In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat). A polyhedron is the three-dimensional version of the more general polytope (in the geometric sense), which can be defined in arbitrary dimension. The plural of polyhedron is "polyhedra" (or sometimes "polyhedrons"). // | * Polyhedron: The word polyhedron has slightly different meanings in geometry and algebraic geometry. In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat). A polyhedron is the three-dimensional version of the more general polytope (in the geometric sense), which can be defined in arbitrary dimension. The plural of polyhedron is "polyhedra" (or sometimes "polyhedrons"). // | ||
The term "polyhedron" is used somewhat differently in algebraic topology, where it is defined as a space that can be built from such "building blocks" as line segments, triangles, tetrahedra, and their higher dimensional analogs by "gluing them together" along their faces (Munkres 1993, p. 2). More specifically, it can be defined as the underlying space of a simplicial complex (with the additional constraint sometimes imposed that the complex be finite; Munkres 1993, p. 9). In the usual definition, a polyhedron can be viewed as an intersection of half-spaces, while a polytope is a bounded polyhedron. | The term "polyhedron" is used somewhat differently in algebraic topology, where it is defined as a space that can be built from such "building blocks" as line segments, triangles, tetrahedra, and their higher dimensional analogs by "gluing them together" along their faces (Munkres 1993, p. 2). More specifically, it can be defined as the underlying space of a simplicial complex (with the additional constraint sometimes imposed that the complex be finite; Munkres 1993, p. 9). In the usual definition, a polyhedron can be viewed as an intersection of half-spaces, while a polytope is a bounded polyhedron. | ||
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== Što rade u drugim zemljama == | == Što rade u drugim zemljama == | ||
Trenutačna izmjena od 13:55, 28. siječnja 2014.
Wolfram MathWorld
Grane u ovom pojmovniku su:
- Algebra (1.01.01 algebra)
- Applied Mathematics (1.01.07 primijenjena matematika i matematičko modeliranje)
- Calculus and Analysis (1.01.04 matematička analiza)
- Discrete Mathematics (1.01.03 diskretna i kombinatorna matematika)
- Foundations of Mathematics
- Geometry (1.01.02 geometrija i topologija)
- History and Terminology
- Number Theory
- Probability and Statistics (1.01.08 teorija vjerojatnosti i statistika)
- Recreational Mathematics
- Topology (1.01.02 geometrija i topologija)
Ovih grana nema u MathWorld-u:
- 1.01.05 matematička logika i računarstvo
- 1.01.06 numerička matematika
- 1.01.09 financijska i poslovna matematika
- 1.01.10 ostale matematičke discipline
Primjer nekoliko definicija:
- Pentagonal Prism: The pentagonal prism prism is a prism having two pentagonal bases and five rectangular sides.
- Hexagonal Prism: A hexagonal prism is a prism composed of two hexagonal bases and six rectangular sides.
- Triangular Prism: A triangular prism is a prism composed of two triangular bases and three rectangular sides.
- Octagonal Prism: A prism composed of octagonal faces.
- Prism: A general prism is a polyhedron possessing two congruent polygonal faces and with all remaining faces parallelograms (Kern and Bland 1948, p. 28; left figure)
- Polyhedron: The word polyhedron has slightly different meanings in geometry and algebraic geometry. In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges. The word derives from the Greek poly (many) plus the Indo-European hedron (seat). A polyhedron is the three-dimensional version of the more general polytope (in the geometric sense), which can be defined in arbitrary dimension. The plural of polyhedron is "polyhedra" (or sometimes "polyhedrons"). //
The term "polyhedron" is used somewhat differently in algebraic topology, where it is defined as a space that can be built from such "building blocks" as line segments, triangles, tetrahedra, and their higher dimensional analogs by "gluing them together" along their faces (Munkres 1993, p. 2). More specifically, it can be defined as the underlying space of a simplicial complex (with the additional constraint sometimes imposed that the complex be finite; Munkres 1993, p. 9). In the usual definition, a polyhedron can be viewed as an intersection of half-spaces, while a polytope is a bounded polyhedron.