Ramanisblog

Tag: Fibonacci numbers

  • Jyotir Lingas Form Fibonacci Spiral

    I have written quite a number of articles on  advanced  concepts in all subjects,Physics, Chemistry,Biology,medicine,Astronomy……..and mathematics in Hinduism/sanatana dharma.

    These concepts, either individually or severally are used in self realization either y integrating them in mental disciplines like yoga or Bhakti or in the construction of Temples in India.

    Jyotir Linga Locations.Image.jpg
    Jyotir Linga Locations
    Jyotir Lingaas in Fibonacci Grid.India
    Jyotir Lingaas in Fibonacci Grid.

    Many of the Hindu temples were constructed on the principles of astronomy and mathematics.

    Fibonacci Spiral Image.png
    Fibonacci Spiral

    Please read my articles on these issues.

    Not only this.

    Advanced concept of Fibonacci numbers is found in Sri Krishna Stuthi.

    Value of Pi is found secreted in Krishna Stuthi.

    ‘gopi bhagya madhuvrata

    srngiso dadhi sandhiga
    khala jivita khatava
    gala hala rasandara

    While this verse is a type of petition to Krishna, when learning it one can also learn the value of pi/10 (i.e. the ratio of the circumference of a circle to its diameter divided by 10) to 32 decimal places. It has a self-contained master-key for extending the evaluation to any number of decimal places.

    The Krishna Stuthi. Value pf Pi t0 31 Decimal places.

    ‘I have read an interesting academic paper on Mathematics involving Higher Mathematics of Numbers and was struck by its findings and the Truths expressed in hinduism Five Thousand years ago intuitively.

    Language of Gods Mathematics Hinduism

    Now, let us look at the Jyotir Linghas of Shiva.

    They are twelve in number.

    Somnath : Somnath is located at Prabhas Patan in Saurashtra in Gujarat.

    Rameshwaram : This vast temple in the island of Rameswaram, in Southern Tamilnaduenshrines Ramalingeswarar.

    Srisailam : Srisailam new Kurnool enshrines Mallikarjuna in an ancient temple rich in architectural and sculptural wealth.

    Ghrishneshwar : Jyotirlinga shrine, in Aurangabad Maharashtra, is located near the rock-cut temples of Ellora.

    Ujjain : The ancient and historic city of Ujjain or Avanti in Madhya Pradesh is home to the Jyotirlinga shrine of Mahakaleshwar.

    Varanasi : Varanasi – The most celebrated pilgrimage site in India. The Vishwanath temple inBanarasin Uttar Pradesh is the goal of the thousands of pilgrims that visit this ancient city.

    Dwarka : Dwarka, in Gujrat, is one of the 12 Jyotirlinga shrines of Shiva.

    Bhimsankar : Bhimsankar is located in the Sahyadri hills of Maharashtra, accessed from Pune.

    Trimbakeshwar : The origin of the river Godavari is intimately linked with this Jyotirlinga shrine nearNasik in Maharashtra.

    Omkareshwar : Omkareshwar, an island in the course of the river Narmada in Madhya Pradesh, is home to the Omkareshwar Jyotirlinga shrine and the Amareshwar temple.

    Vaidyanath : Vaidyanath is located in the Santal Parganas area of Jharkhand.

    Kedarnath : Kedarnath nestled in the snow clad Himalayas. It is accessible only on foot, six months in a year.

    No what is special about these locations?

    They form a Fibonacci grid!

    Fibonacci Series: A series of numbers in which each number ( Fibonacci number ) is the sum of the two preceding numbers. The simplest is the series 1, 1, 2, 3, 5, 8….

    They appear in Nature.

    Fibonacci sequences appear in biological settings, in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone, and the family tree of honeybees. However, numerous poorly substantiated claims of Fibonacci numbers or golden sections in nature are found in popular sources, e.g., relating to the breeding of rabbits in Fibonacci’s own unrealistic example, the seeds on a sunflower, the spirals of shells, and the curve of waves’

    Fibonacci Series in Nature.Image.jpg
    Fibonacci Series in Nature

    The trees and shrubs look random but they are not. Each tree according to its kind has sequences of leaves and branches based on the Fibonacci sequence. The fact that our bodies, and that of animals, birds, fish, insects, micro-organisms, plants and trees are all shaped by specific  mathematical formula shows that they have been specially created, each species having its own  proportions based on the Golden ration and the Fibonacci sequence.

    The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

    Location of Jytoir Lingas   follow a Fibonacci spiral or the Golden Spiral. Dwadash Jyotirlingas.

    References and Citations.

    http://allindiaroundup.com/news/fibonacci-series-on-india-map/

    https://en.wikipedia.org/wiki/Fibonacci_number#List_of_Fibonacci_numbers

    https://bhaskarpthakur.wordpress.com/tag/dwadash-jyotirlingas/

  • Hinduism Is Mathematics Fibonacci Golden Ratio In Meru

    Philosophical enquiry needs an  analytic  Mathematical Mind.

    One would notice that most of the Great Philosophers of the world have also been great Mathematicians.

    Rene Descartes, Leibniz,Spinoza,Siddhas of India,Pingala, Arya Bhatta, Varaha Mihira….

    It is easy for a Mathematician to understand Nature which is mathematically constructed.

    Every atom to an elephant is made mathematically.

    There is Uniformity and Rhythm in Nature.

    This applies to actions and reactions.

    The term Rta is dealt separately in Hinduism.

    This means order.

    Please read my post on this.

    Another point in Hinduism is what is in Macrocosm is in Microcosm and vice versa.

    What is found in the Universe is found in Man.

    For example,

    The ratio 1:1.618 is a golden ratio which is found all over the cosmos. Stick out your forefinger. The ratio from the first two bones is 1:1.618. Now the ratio between the 2nd middle bone and the third bone terminating at the knuckle is also 1:1.618.  The ration from your navel to top of your head and bottom of your feet is also 1:1.618

    This is called the Fibonacci Ratio.

    Fibonacci Ratio in Leaves

    Arrangements of the leaves

    Fibonacci Ration in Leaves.Image.jpg
    Fibonacci Ration in Leaves.

    Also, many plants show the Fibonacci numbers in the arrangements of the leaves around their stems. If we look down on a plant, the leaves are often arranged so that leaves above do not hide leaves below. This means that each gets a good share of the sunlight and catches the most rain to channel down to the roots as it runs down the leaf to the stem.
    The computer generated ray-traced picture here is created by my brother, Brian.

    Leaves per turn

    The Fibonacci numbers occur when counting both the number of times we go around the stem, going from leaf to leaf, as well as counting the leaves we meet until we encounter a leaf directly above the starting one.

    If we count in the other direction, we get a different number of turns for the same number of leaves.

    The number of turns in each direction and the number of leaves met are three consecutive Fibonacci numbers!

    Fibonacci Number in Mount Meru

     

    Mount Meru is an actual and sacred mountain in Tanzania/Arctic, it is also the name given to the Fibonacci series in the Maatraameru (Mountain of Cadence) written by Pingala in the Chhandah-shastra (Art of Prosody) around 450 BC. In this writing, it was organized as a pyramid, today known as Pascal’s triangle, like this:

    Mount Meru In Numbers.photot.jpg
    Mount Meru In Numbers

    Kubera was revered as the chief of the Guhyakas and was the ‘king of kings’, the ‘god’ and ‘guardian of the North’. The word Guhyakas comes from the word ‘godha’ (root gudh or guh), meaning chameleon – a dragon-serpent. It seems that in Hindu mythology, ‘god’ is a ‘naga’ or ‘dragon serpent’ who lives at the top of Mount Meru and hides a golden treasure.

    Thus we find that God is associated in ancient Hindu mythology with the infinite and irrational golden ratio at the center of a Fibonacci spiral symbolized as a mountain, pyramid or perhaps an infinite spiraling vortex (like the Hindu Schwass-tika). Further reading on the subject describes Mt. Meru as home to all of the gods, closely resembling the Biblical concept of a heaven paved with gold.

    As one last note, in Vedic astrology, Kubera’s golden treasure is guarded by Shukra, which is the Hindu name for the planet Venus. Shukra is then celebrated in a specific month in the Hindu calendar called JyeshTha, corresponding to May-June.

    One would find he same in Carnatic Music and Bharata Natya.

    More to follow.

    Citation.

    Journal of the American Oriental Society, Volume 33 by E. W. Hopkins, 1918.

    2. The Golden Mean and the Physics of Aesthetics, Subhash Kak, Archive of Physics: physics/0411195, 2004

    http://www.hinduism.co.za/anahata.htm#Fibonacci Fingers?