Download presentation

Presentation is loading. Please wait.

Published byAileen Humm Modified over 2 years ago

1
1 Fibonacci Numbers Stage 4 Year 7 Press Ctrl-A ©2009 – Not to be sold/Free to use

2
2 Fibonacci Numbers Discovered by Leonardo Fibonacci in the year 1202 The sequence of Fibonacci numbers starts with 0 and 1. The other terms in the sequence are found by adding the previous two terms. 0, 1, 0+1 1, 1+1 2, 34... 13, 3, 21, 8, 5, 1+2 13+21 13+85+83+52+3 The Video 42

3
3 Fibonacci’s Tiles A tiling with squares whose sides are successive Fibonacci numbers in length 42

4
4 Fibonacci’s Spiral A Fibonacci spiral, created by drawing arcs connecting the opposite corners of squares in the Fibonacci tiling 42

5
5 Fibonacci’s Flowers The majority of flowers have a Fibonacci number as their number of petals. Some species include: 1. Lilies, irises and clover have 3 petals. 2. Buttercups and some delphiniums have 5 petals. 3. Other kinds of delphiniums have 8 petals. 4. Marigolds have 13 petals. 5. Some asters have 21 petals. 6. Daisies have 34, 55 or even 89 petals. Did you know that four leaf clover are rare because 4 is not a Fibonacci number? 42

6
6 Fibonacci’s Rabbits Each pair of rabbits can produce another pair of rabbits in each of the next two generations. Mum & Dad 42

7
7 Golden Fibonacci’s Golden Ratio An approximation for the Golden Ratio can be found by dividing consecutive ratios Golden Ratio ≈ 34 21 ≈ 1.619 Leonardo da Vinci was interested in the proportions in the human body 42

8
8 Golden Fibonacci’s Golden Body Ratio Floor to Navel - 97Height - 159 1 : 1.639 Elbow to Fingertips - 41 Underarm to Fingertips - 63 1 : 1.537 Width of Head - 16 Length of Head – 25 1 : 1.563 Hairline to Bottom of Nose - 13 Hairline to Chin - 21 1 : 1.615 Fingertip to 1st Knuckle - 4.2 Length of Finger - 7.1 1 : 1.690 1st Knuckle to 2nd Knuckle - 2.5 Fingertip to 1st Knuckle - 4.2 1 : 1.680 The table shows measurements (in centimetres) of my body and the ratio they are in. All of the ratios are reasonably close to the golden ratio, 1:1.168. 42

Similar presentations

OK

Portraiture Basic proportion. The Proportions of a Head - 1 The proportions of a head will vary from person to person and change slightly with age, there.

Portraiture Basic proportion. The Proportions of a Head - 1 The proportions of a head will vary from person to person and change slightly with age, there.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on surface water contamination Ppt on bmc remedy user Ppt on flora and fauna of kerala india Ppt on earth hour day Ppt on computer graphics notes Ppt on peak load pricing electricity Download ppt on cell organelles and their functions Ppt on electronics and telecommunication Download ppt on telephone etiquette Economics for kids ppt on batteries