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Gravity representations of Pi, Phi and e, illustration

Gravity representations of Pi, Phi and e, illustration

C038/4631

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Credit

MARTIN KRZYWINSKI / SCIENCE PHOTO LIBRARY MARTIN KRZYWINSKI / SCIENCE PHOTO LIBRARY

Caption

Gravity representations of Pi, Phi and e, illustration. The first 100 digits of three mathematical constants (from left: Pi, Phi and e) are assigned mass and placed uniformly around a circle. The simulations calculate the gravitational forces between all mass pairs and moves the masses accordingly. When masses collide, they form a new mass whose speed conserves momentum in the collision. All three constants are irrational numbers. The first few digits are: Pi (3.14159), Phi (the golden ratio, 1.61803) and e (Euler's number, 2.71828).

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