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  2. List of fractals by Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/List_of_fractals_by...

    The quadric cross is made by scaling the 3-segment generator unit by 5 1/2 then adding 3 full scaled units, one to each original segment, plus a third of a scaled unit (blue) to increase the length of the pedestal of the starting 3-segment unit (purple).

  3. Minkowski–Bouligand dimension - Wikipedia

    en.wikipedia.org/wiki/Minkowski–Bouligand...

    The digits in the "odd place-intervals", i.e. between digits 2 2n+1 and 2 2n+21 are not restricted and may take any value. This fractal has upper box dimension 2/3 and lower box dimension 1/3, a fact which may be easily verified by calculating N ( ε ) for ε = 10 − 2 n {\displaystyle \varepsilon =10^{-2^{n}}} and noting that their ...

  4. Fractal dimension - Wikipedia

    en.wikipedia.org/wiki/Fractal_dimension

    [1] [2] [3] For instance, a curve with a fractal dimension very near to 1, say 1.10, behaves quite like an ordinary line, but a curve with fractal dimension 1.9 winds convolutedly through space very nearly like a surface. Similarly, a surface with fractal dimension of 2.1 fills space very much like an ordinary surface, but one with a fractal ...

  5. Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/Hausdorff_dimension

    Example of non-integer dimensions. The first four iterations of the Koch curve, where after each iteration, all original line segments are replaced with four, each a self-similar copy that is 1/3 the length of the original. One formalism of the Hausdorff dimension uses the scale factor (S = 3) and the number of self-similar objects (N = 4) to ...

  6. Dimension - Wikipedia

    en.wikipedia.org/wiki/Dimension

    [1] [2] Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line. A surface , such as the boundary of a cylinder or sphere , has a dimension of two (2D) because two coordinates are needed to specify a point on it – for example, both a latitude and ...

  7. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    For example, aligning the rightmost 1 on the C scale with 2 on the LL2 scale, 3 on the C scale lines up with 8 on the LL3 scale. To extract a cube root using a slide rule with only C/D and A/B scales, align 1 on the B cursor with the base number on the A scale (taking care as always to distinguish between the lower and upper halves of the A scale).

  8. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Unit fractions can also be expressed using negative exponents, as in 21, which represents 1/2, and 22, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠. In Unicode, precomposed fraction characters are in the Number Forms block.

  9. Graduation (scale) - Wikipedia

    en.wikipedia.org/wiki/Graduation_(scale)

    A ruler with two linear scales: the metric and imperial.It includes shorter minor graduations and longer major graduations. A graduation is a marking used to indicate points on a visual scale, which can be present on a container, a measuring device, or the axes of a line plot, usually one of many along a line or curve, each in the form of short line segments perpendicular to the line or curve.

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