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Mathematics in our World
                                                                                                         16

                                                                       Spirals are more evident in plants.









                                 Lightning
                                                                       Fern Spiral                                Aloe vera

                        Fractals  can  be  seen  in  some

                 plants, trees, leaves, and others.






                                                                       Spiral Grass                             Spiral Plant



                                                                    Spirals  can  also  be  seen  in  whirlpool,
                                                             typhoon,  galaxy,  spiral  worm,  tail  of  iguana
                                                             and shell among others.










                                                                         Whirlpool                                    Galaxy







                           C. Spirals
                                                                          Spiral Worm                            Spiky Shell

                        A  logarithmic  spiral  (or  growth

                 spiral) is a self-similar spiral curve which
                 often appears in nature.                              Your Task at Home

                        It  was  first  described  by  Rene

                 Descartes and was later investigated by
                                                             Direction: Identify and discuss symmetries,
                 Jacob Bernoulli.
                                                             fractals and spirals in your surroundings.

                                                             (at least five examples each)






                ZANNIE I. GAMUYAO, MSM                              UNIT 1.3 Patterns and Regularities
                Assistant Professor 1                                             in the World
                Department of Arts and Sciences
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