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Symmetry (geometry) A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under ...
Symmetry is a type of invariance: the property that a mathematical object remains unchanged under a set of operations or transformations. [ 1] Given a structured object X of any sort, a symmetry is a mapping of the object onto itself which preserves the structure.
If a line l goes from vertex v to vertex v′, then M(l) goes from N(v) to N(v′). If the line is undirected, as it is for a real scalar field, then M(l) can go from N(v′) to N(v) too. If a line l ends on an external line, M(l) ends on the same external line. If there are different types of lines, M(l) should preserve the type.
Reflection symmetry. Figures with the axes of symmetry drawn in. The figure with no axes is asymmetric. In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry.
v. t. e. A concept map or conceptual diagram is a diagram that depicts suggested relationships between concepts. [1] Concept maps may be used by instructional designers, engineers, technical writers, and others to organize and structure knowledge . A concept map typically represents ideas and information as boxes or circles, which it connects ...
Symmetry is also used in designing logos. [47] By creating a logo on a grid and using the theory of symmetry, designers can organize their work, create a symmetric or asymmetrical design, determine the space between letters, determine how much negative space is required in the design, and how to accentuate parts of the logo to make it stand out.
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