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Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes ...
Rectangle. In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, : +, which is : (the Greek letter phi), where is approximately 1.618.. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding a square to a side, or removing a square from an end, of a golden rectangle are golden rectangles as well.
Zone 1 uses an integrated numbering plan; four digits (1xxx) determine the area served in Canada, the United States and its territories, and much of the Caribbean. Zone 2 uses two 2-digit codes (20, 27) and eight sets of 3-digit codes (21x–26x, 28x, 29x), mostly to serve Africa , but also Aruba , Faroe Islands , Greenland and British Indian ...
This sum can also be found in the four outer numbers clockwise from the corners (3+8+14+9) and likewise the four counter-clockwise (the locations of four queens in the two solutions of the 4 queens puzzle [50]), the two sets of four symmetrical numbers (2+8+9+15 and 3+5+12+14), the sum of the middle two entries of the two outer columns and rows ...
1 2 + 3 2 + 9 2 + 10 2 + 12 2 = 2 2 + 4 2 + 5 2 + 11 2 + 13 2 = 335 (equal partitioning of squares; semi-bimagic property) This leads to squares having a maximum element of 169 and a pandiagonal magic constant of 850, which are also semi-bimagic with each row or column sum of squares equal to 102,850.
The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [ 1] The area thus obtained is referred to as the sofa constant.