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             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





             14.  The number 65359477124183 makes an astonishing pattern when multiplied by the multiples of 17.
                        65359477124183 × 17 = 1111 1111 1111 1111

                        65359477124183 × 34 = 2222 2222 2222 2222
                        65359477124183 × 51 = 3333 3333 3333 3333
                        65359477124183 × 68 = ...................
                        65359477124183 × 85 = ...................
                        65359477124183 × 102 = ...................
                        65359477124183 × 119 = ...................
                        65359477124183 × 136 = 8888 8888 8888 8888
                        65359477124183 × 153 = ...................

            Patterns in Shapes


            In geometry, we study the patterns in shapes. These shapes may be in one, two or three dimensions,
            or even fractional dimensions. Stacked triangles, Snowflakes, Sierpinski  triangles are the examples
            of fractals having fractional dimension. The commonly used shapes in geometrical pattern are –
            square, circle, rectangles, oval, triangle, pentagon, hexagon, octagon, diamond, and star. Most of
            the two-dimensional shapes can be drawn on a sheet of paper and geoboard also.






















            On a circular geoboard, draw three concentric circles.
            A pattern forming with many 3D simple and complex shapes can be drawn on an isometric sheet.











            Let’s see some geometrical shapes.

                              Triangle        Square        Pentagon       Hexagon       Heptagon        Octagon


                Regular
                Polygon




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