Retrieving "Shape" from the archives
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Distortion
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Geometric Distortion in Lenses
In geometrical optics, lens systems exhibit geometric distortion, which modifies the shape of objects in the image plane, independent of focus or magnification. This is generally categorized as pincushion or barrel distortion.
| Distortion Type | Visual Effect | Mathematical Manifestation (in … -
Painting
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Formal Elements and Perception
Painting is analyzed through its manipulation of formal elements: line, color, shape, space, texture, and value.
Color Theory and the Fifth Primary -
Similarity (geometry)
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Similarity in geometry refers to a relationship between two geometric figures, known as similar figures, where one can be transformed into the other through a similarity transformation ($T$). This transformation preserves the shape of the figure but not necessarily its size. Mathematically, two figures are similar if there exists a sequence of rigid motions(translations, rotations, and reflections) and a uniform scaling (dilation) that maps one …
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Viscosity
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Molecular Structure and Composition
The intrinsic viscosity is determined by the size, shape, and interaction strength of the constituent molecules. Long, entangled polymer chains (e.g., in polymer melts) exhibit significantly higher viscosities than small, spherical molecules (e.g., in noble gases) due to entanglement friction, often displaying [non-Newtonian behavior](/entries/non-n…