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Each iteration of the Sierpinski triangle contains triangles related to the next iteration by a scale factor of 1/2. In affine geometry, uniform scaling (or isotropic scaling [1]) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions (isotropically).
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]
Models are built to scale, defined as the ratio of any linear dimension of the model to the equivalent dimension on the full-size subject (called the "prototype"), expressed either as a ratio with a colon (ex. 1:8 scale), or as a fraction with a slash (1/8 scale). This designates that 1 inch (or centimeter) on the model represents 8 such units ...
A space having self-similarity dimension = , which is approximately 1.58. (From Hausdorff dimension .) In a general metric space ( X , d ) , an exact similitude is a function f from the metric space X into itself that multiplies all distances by the same positive scalar r , called f 's contraction factor, so that for any two points x ...
The team of former Misfit creators is launching the 01, a hybrid measuring device and pen (there are also pencil and stylus versions) that gauges the dimensions of objects simply by pointing at them.
Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a data set. MDS is used to translate distances between each pair of objects in a set into a configuration of points mapped into an abstract Cartesian space.
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