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Pythagoras (c. 580-500 B.C.) was an ancient Greek philosopher who was interested in numbers and their meanings. He discovered the relationships between mathematics and music, proposing that sounds and their relationships with other sounds can be measured using numbers. He also proposed that the Earth is a sphere, that the Earth, Moon, and stars revolve around the Sun, and that astronomy (the study of stars, planets, and heavenly bodies) could be written as mathematical sentences called equations. Pythagoras and his followers used lines, triangles, and squares made out of pebbles to represent numbers.Today Pythagoras is best remembered for the Pythagorean theorem: The square of the length of the hypotenuse (the side of a right triangle opposite the right angle) of a right triangle equals the sum of the squares of the lengths of the triangle's other two sides.
euclid wrote a work called Stoicheia/Elements which is a thirteen volume collection of geometrical math work. it compiles lots of geometrical knowledge, based on others' works (thales, pythagoras, aristotle, plato, etc,...) he was also the founder of the Alexandrian School of Mathematics.
I would definitely say both.A physical model because it IS physical. There is no question that a mountain is a real formation in the physical world defined by known measurements and dimensions and adhering to the laws of nature.It is a mathematical model also because a mountain can be a "theoretical mountain". As in, one totally imagined or drawn, with whatever measurements, dimensions or laws you choose.Mountains are commonly applied today as an easily relatable and versatile model in the study and teaching of mathematics.
Geometry
Astronomy.