1. GOLDEN RATIO AND THE MIRACLES OF KAABA
Prepared By :
Murk Altaf
Anaushey
Quratulain

2. Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship.

3. How to calculate golden ratio?
We find the golden ratio when we divide a line into two parts so that:
the whole length divided by the long part
is also equal to
the long part divided by the short part

4. Formula

5. Golden ratio in human body

6. Golden ratio in nature
Flowers and branches: Some plants express the Fibonacci sequence in their growth points, the places where tree branches form or split. One trunk grows until it produces a branch, resulting in two growth points. The main trunk then produces another branch, resulting in three growth points. Then the trunk and the first branch produce two more growth points, bringing the total to five. This pattern continues, following the Fibonacci numbers. Additionally, if you count the number of petals on a flower, you'll often find the total to be one of the numbers in the Fibonacci sequence. For example, lilies and irises have three petals, buttercups and wild roses have five, delphiniums have eight petals and so on.

8. Golden ratio in ancient art
According to NCTM's Principles and Standard for School Mathematics(2000), rich problems contexts involve connections to other disciplines, (e.g. science, social studies, art) as well as to the real world and to the daily life experience of middle- grades students(NCTM, 2000, p.374). An exploration with the golden ratio offers opportunities to connect an understanding the conceptions of ratio and proportion to geometry. The mathematical connections between geometry and algebra can be highlighted by connecting Phi to the Fibonacci numbers and some golden figures. Also, the golden ratio is a good topic to introduce historic and aesthetic elements to a mathematical concept, because we can find that not a few artists and architects were connected with the golden ratio of their works through much of the art history.

10. Golden ratio and the miracle of Kaaba
You will see scientific proofs of unbelievable mysteries that have remained hidden in the Holy City of Mecca for thousand of years with your own eyes. Mecca is willed as direction of kowtow, convention place for billions of Muslims and as the holy center of Islam. Those Muslims, who can afford, are prescribed to arrive go on a journey through Kaaba, Muzdelife and Arafat and to convene in the sacred city.

11. KAABA

12. CONCLUSIONS
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