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-THE BORACAY ISLAND LIFE-

Over 500 years ago, Leonardo da Vinci made a simple yet profound observation in one of his notebooks—long before the age of modern biology or plant mechanics. He noted something no one else had described: *“All the branches of a tree at every stage of its height, when put together, are equal in thickness to the trunk.”* In other words, if you sum the cross-sectional areas of all the branches emerging from a trunk, their total equals the cross-sectional area of the trunk itself. A natural law of balance.

To visualize this, imagine a trunk with a diameter of 10 cm splitting into two branches. If one branch is 6 cm and the other is 8 cm in diameter, their areas would be 6² + 8² = 36 + 64 = 100—which equals 10², the area of the original trunk. This observation, now known as *Leonardo’s Rule* or the *Tree Rule*, intuitively captured a principle of sap distribution and structural harmony in trees, centuries before fluid dynamics or hydraulic models were developed.

Modern science has since confirmed that this rule holds surprisingly true across many tree species. Though it’s not mathematically perfect in every case, the approximation is close enough to be used in various fields today—from mathematical models of plant growth to realistic 3D simulations in computer graphics, and even studies in plant biomechanics. With only paper and ink, Leonardo had written down a natural law that would take centuries to scientifically validate—proof that sometimes, the future belongs to those who simply observe with clarity.

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