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Scale models are used as tools in engineering design and testing, promotion and sales, filmmaking special effects, military strategy, and hobbies such as rail transport modeling, wargaming and racing; and as toys. Model building is also pursued as a hobby for the sake of artisanship. Scale models are constructed of plastic, wood, or metal
The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original. Examples include a 3-dimensional scale model of a building or the scale drawings of the elevations or plans of a building. [1] In such cases the scale is dimensionless and exact throughout the model or drawing.
A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar. Uniform scaling happens, for example, when enlarging or reducing a photograph, or when creating a scale model of a building, car, airplane, etc. More general is scaling with a separate scale factor for each axis direction.
Multiscale modeling or multiscale mathematics is ... The recent surge of multiscale modeling from the smallest scale (atoms) to full system level (e.g., autos ...
Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is ...
Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original; Scale factor, a number which scales, or multiplies, some quantity; Long and short scales, how powers of ten are named and grouped in large numbers; Scale parameter, a description of the spread or dispersion of a probability distribution
The Wiener process is scale-invariant. In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality. The technical term for this transformation is a dilatation (also known as dilation).
Articles related to scale models, physical models of an object that maintain accurate relationships between its important aspects, although absolute values of the original properties need not be preserved. This enables the model to demonstrate some behavior or property of the original object without examining the original object itself.