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The parent supersilver rectangle and the two scaled copies along the diagonal have linear sizes in the ratios :: The areas of the rectangles opposite the diagonal are both equal to ( ς − 1 ) / ς , {\displaystyle (\varsigma -1)/\varsigma ,} with aspect ratios ς ( ς − 1 ) {\displaystyle \varsigma (\varsigma -1)} (below) and ς / ( ς − ...
Replica of the Thor's hammer from Scania.The original find was created c. 1000 AD.. A replica is an exact (usually 1:1 in scale) copy or remake of an object, made out of the same raw materials, whether a molecule, a work of art, or a commercial product.
If an horizontal line is drawn through the intersection point of the diagonal and the internal edge of the square, the original golden rectangle and the two scaled copies along the diagonal have linear sizes in the ratios ::, the square and rectangle opposite the diagonal both have areas equal to . [10]
More generally, given any centrally symmetric, bounded, open, and convex subset X of R n, one can define a norm on R n where the balls are all translated and uniformly scaled copies of X. Note this theorem does not hold if "open" subset is replaced by "closed" subset, because the origin point qualifies but does not define a norm on R n.
Drafting pantograph in use Pantograph used for scaling a picture. The red shape is traced and enlarged. Pantograph 3d rendering. A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical ...
Lanczos windows for a = 1, 2, 3. Lanczos kernels for the cases a = 1, 2, and 3, with their frequency spectra. A sinc filter would have a cutoff at frequency 0.5. The effect of each input sample on the interpolated values is defined by the filter's reconstruction kernel L(x), called the Lanczos kernel.
In mathematics, the silver ratio is a geometrical proportion close to 70/29.Its exact value is 1 + √2, the positive solution of the equation x 2 = 2x + 1.. The name silver ratio results from analogy with the golden ratio, the positive solution of the equation x 2 = x + 1.
Built by scaling the 50 segment generator (see inset) by 1/10 for each iteration, and replacing each segment of the previous structure with a scaled copy of the entire generator. The structure shown is made of 4 generator units and is iterated 3 times. The fractal dimension for the theoretical structure is log 50/log 10 = 1.6990.