Nature offers beauty, from towering trees to tiny droplets of water, deserving both attention and adoration. Each component, no matter how small or seemingly inconsequential, becomes a masterpiece when examined more closely. Complex configurations actually construct the mundane, resulting in a world of diverse and limitless abundance. It is our responsibility to perceive, understand, and feel grateful for the divine intricacies which decorate our collective home.

A well-known numerical occurrence in nature, the * Fibonacci Sequence*, results in aesthetically pleasing patterns; These numbers eventually form the shapes seen in

*,*

**pinecones***,*

**flowers***, and*

**insects’ wings***.*

**plants****Upon adding the two previous numbers in a series in order to find the next, Fibonacci’s succession surfaces;** * 0,1,1,2,3, 5, 8, 13, 21, 34, etc. (0+1=1, 1+1=2, 2+3=5, 3+5=8, etc)*.

The quantity of flower petals, location/number of branches and stems, and mechanism by which plants expand distinctly follows Fibonacci. Trees maximize sun exposure and maintain balance naturally as they mature; this feat depends upon certain orientation of branches reaching up to the sky. Nature adopted a pattern that works every time.

(Photo credit: https://botanicamathematica.wordpress.com/2014/04/01/fibonacci-tree/)

* All flowers possess a quantity of petals synonymous with the Fibonacci Pattern:* 1, 2, 3, 5, 8, 13, 21, 34, 55, or, 89 (and beyond!). While rare, there are a few species exemplifying the beginning of the sequence: The White Cala Lily has one petal, Euphorbia has 2. It is more common for flowers to have 3 petals (Lily, Iris), or 5 (Buttercup, Wild Rose). 8 petals can occur (Delphinium), as with 13 (Corn Marigold), 21 (Chicory), 34 (Plantain), 55 (Daisy), or 89 (Sunflower). Each of these values belongs in Fibonacci, which dictates the flowers’ development.

* Notice the similarities between a pinecone, sunflower, daisy, and bee’s wing*: the mode of growth is consistent.

Formation of plants in this way can be visually represented; As Fibonacci numbers continue, another shape inevitably forms, which resembles a rectangle. The Rectangles are assigned based on the values determined in the sequence (0+1=1, 1+1=2…). As values increase, the formula remains; A predictable equation presents itself, and strategic blossoming can be mapped in accordance with the sequence.

Another important geometrical pattern emerges within the Rectangles, revealing the secret of the Fibonacci numbers.

A ** spiral** can be traced within the Fibonacci Rectangles, which represents the recurrence of a specific value.

If Fibonacci constituents are reduced to ratios, (adhering to the Fibonacci scheme by calculating the ratio of each preceding value; 1:0, 1:1, 2:1, and so on), then the same answer resounds. Dividing any number in the series by its antecedent value inevitably produces like outcome.

**The solution always proves to be a ratio of roughly 1.618, indefinitely, gaining accuracy as the numbers in the sequence balloon.**

***As Fibonacci progresses, the ratios hiding therein oscillate slightly above and below 1.618, more closely matching the number with each new addition to the sequence.* **

* *As the numbers increase, the resulting ratio reaches ever-closer to

*:*

**1.618***, or the*

**Phi***…*

**Golden Ratio**What is the significance of 1.618, and how does it relate to these omnipotent patterns?

Learn about Phi and its association with divine perfection in our next original article…Coming soon!

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