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Questions that mindboggle

Dear all,
I have the following questions for you:
(i) In order to check whether a positive integer is prime, we need to find the existence of a non trivial factor of the integer between 2 through square root of the integer. Why do you think checking up to square root of the integer is sufficient?
(ii) Can you name some plant where the leaves follow a Fibonacci pattern?

 Posted by-
Prof. Nirman Ganguly
Faculty,
Department of Mathematics,
Heritage Institute of Technology,
Kolkata.

Comments

  1. UnknownOctober 2, 2018 at 8:39 PM

    Rose and sunflower

    ReplyDelete
  2. UnknownOctober 5, 2018 at 2:13 PM

    Sunflower seeds, Lily petals, Banana / Cucumber fruit sections

    ReplyDelete
  3. UnknownOctober 7, 2018 at 6:41 PM

    The Golden Ratio as well as the Golden Angle is often exhibited by plants with spiral leaf and floral patterns, e.g. Sunflower leaves, seeds and the flowers themselves. However, just having leaves in a short fractions of the beginning of the Fibonacci series (1 1 2 3 5 8) is exhibited by many plants such as lilies and cucumber.

    ReplyDelete

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