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All non rectangles are non squares.

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โˆ™ 2018-05-03 01:56:20
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Q: Are all non squares also non rectangles?
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Show you a picture of a non square rectangle?

Click on 'related links' below. The link will take you to some pictures of rectangles some are squares some are not.


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How many rectangles and squares are in a standard chess board?

A chess board has 64 squares - but if you look closely, you can make another square out of every 2x2 (49), 3x3 (49) 4x4 (25) 5x5 (16) 6x6 (9) 7x7 (4) and finally one 8x8 square - so 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares. If we assume "rectangles" are all other rectangles that are not also squares (it could be argued that a rectangle is a square - in which case you add 204 to the number I compute here), then you can see a whole bunch more. It helps to know that 1 + 2 + 3 + ... + n = n x (n+1) / 2 (speeds up the math) 1 square tall: 2 x 1: 7 per row times 8 rows = 56 3 x 1: 6 per row ... = 48 for a total of (7+6+5+4+3+2+1) x 8 (rows) = 8 x 8 x 7 / 2 = 224 2 squares tall: (7 + 6 + ...) x 7 x 2 = 8 x 7 x 7 / 2 You can see that if we keep going we get 8 x (8 + 7 + 6 + ... + 1) x 7 / 2 = 8 x ( 8 x (8 + 1 ) / 2 ) x 7 / 2 = 2 x 8 x 9 x 7 total number of rectangles = 1008 So the answer is 204 squares and 1008 (non-square) rectangles, or 204 squares and 1212 "rectangles" (including squares).


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All sorts of figures. The only regular polygons that can tessellate by themselves are triangles, squares and hexagons. Irregular polygons such as rectangles, rhombuses, parallelograms and trapeziums will as well. Regular octagons combined with squares will. Other regular polygons can be combined with appropriate star-shapes to tesselate. There are also Penrose tilings which, although they cover the plane, are non-periodic in the sense that the pattern does not repeat itself if you move along. Finally there are many irregular shapes that will tessellate.


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