Decoding Hidden Patterns In College Geometry And Mathematical Theories

From the distribution of primes to the behavior of chaotic systems, from the symmetries in group theory to the fractal nature of geometries, hiddenpatterns make mathematics both beautiful and powerful. The field of mathematics was invented, not discovered—it is just a creation of the human mind. Maths is the missing link between the physical and theoretical worlds. The physical world is what we see, observe and feel, meaning we can understand its technicalities just by feeling them or solve its problems by practical means. In contrast, the theore...See full list on owlcation.comThe Fibonacci sequence was discovered by the Italian mathematician Leonardo Pisano while calculating the growth of rabbit populations. He came up with a unique andimportant sequence that literally defined everything about nature and its processes. The sequence followed one simple rule: (where Fn is nthterm of the series) We can start plotting the v...See full list on owlcation.comA symmetric structure is one which can be divided into two proportionate, equal halves. There are two main types of symmetry: reflective symmetry and rotational symmetry. Reflective symmetry occurs when one half of the object reflects the other half, i.e., it is a mirror image of the other half. A butterfly is the best natural example of this type ...See full list on owlcation.comFractals are subsets of Euclidean figures where each part has the same statistical character as the main figure. In layman's terms, they can be explained as patterns that exist inside a solid geometrical figure or are a part of it and have patterns that re-occur at smaller scales. Generally, we notice fractalsin nature when we go deep into the stru...See full list on owlcation.comThis is an application where mathematics combines with biology. This connection was explained by Alan Turing, who is considered to be the father of modern computer science. He introduced the term 'mathematical models'. While this is an extremely complex topic, this article will focus on the basic theory and how mathematics contributes to it.

Decoding Hidden Patterns in College Geometry and Mathematical Theories 1