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Consider the spiral with polar equation I = Va 9 where a is constant. This spiral occurs frequently in owers because it allows seeds to be arranged in the most efcient way possible. This highly stmctured natural phi including the Fibonacci sequence 1, 1,2,3,5, s, 13,21,34, 55,89, 144,233, Sunower Fibonacci at Pisa 1170 - 1250 AD r = V27mm. 9 = 2mm where qr = 321 21 0618033988 is the golden ratio, The location of the rst 21 sunower seeds are circled in red in the spiral below. The location of seed numbers 5 and B have a cross in the middle, The position of the n 'th seed on a sunower is given in polar coordinates Find the Cartesian coordinates (to two decimal plaoes)for - seednumberS: K-E - seednumber8:[ 2-B . seed number 610 : I g E. In fact. all at the seeds corresponding to Fibonacci numbers (such as 5, 8 and 610) occur near the positive xaxis, which in polar form has the equation: 9:!0