Hypercell (InstanceTopic, 2)
From Hi.gher. Space
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A '''hypercell''' is a part of the surface of a [[shape]]. Hypercells of any given dimension are separated from each other by hypercells of one dimension less. | A '''hypercell''' is a part of the surface of a [[shape]]. Hypercells of any given dimension are separated from each other by hypercells of one dimension less. | ||
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| + | Specific terms for hypercells in dimensions 0-3 are ''vertex'', ''edge'', ''face'', ''cell''. Hypercells one dimension lower than that of the shape in question are called ''facets'', for example, the facets of a [[cube]] are faces (since the cube is 3-dimensional and faces are 2-dimensional), the facets of a [[pentachoron]] are cells, and the facets of a [[decagon]] are edges. | ||
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| + | The collective term for all facets of a shape is the ''boundary'' or ''hypersurface'' of that shape. Specific terms are ''perimeter'', ''surface'' and ''rind'' for the boundaries of 2-4 dimensional shapes respectively. | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 15:27, 18 November 2011
A hypercell is a part of the surface of a shape. Hypercells of any given dimension are separated from each other by hypercells of one dimension less.
Specific terms for hypercells in dimensions 0-3 are vertex, edge, face, cell. Hypercells one dimension lower than that of the shape in question are called facets, for example, the facets of a cube are faces (since the cube is 3-dimensional and faces are 2-dimensional), the facets of a pentachoron are cells, and the facets of a decagon are edges.
The collective term for all facets of a shape is the boundary or hypersurface of that shape. Specific terms are perimeter, surface and rind for the boundaries of 2-4 dimensional shapes respectively.
