LUIS TEIA is 35 and the author of the book " X3+Y3=Z3: The Proof " - a book that presents the mathematical and geometrical proof of the Pythagoras' theorem in 3D. He lives in Berlin and is a passionate scientist, mathematician, writer and free-thinker with various journal articles published in different topics, such as aerodynamics and vibration theory. His latest publication is entitled "Pythagoras triples explained via central squares" with the Australian Senior Mathematics Journal in 2015. He holds a PhD in Aerospace Engineering, and worked for high profile companies such as Airbus and Rolls-Royce. Through determination and ingenuity, he achieved 9 international patents, one of which will be flying in the two next Rolls-Royce jet engines to power business aircraft. He trains martial arts, and believes in the power of meditation.
This book presents the geometrical and mathematical proof of X3+Y3=Z3, or the Pythagoras' theorem in three dimensions. Very much like today, the Old Babylonians (20th to 16th centuries BC) had the need to understand and use what is now called the Pythagoras’ theorem X2+Y2=Z2. They applied it in very practical problems such as to determine how the height of a cane lean against a wall changes with its inclination. This sounds trivial, but it was one of the most important problems studied at the time. As human beings we share the same nature as the Old Babylonians to solve problems to live and evolve. The problems nowadays are more exotic and elaborated than a cane against a wall, but they share the same legacy. Right-angles are everywhere, whether it is a building, a table, a graph with axes, or the atomic structure of a crystal. While these are our contemporary challenges, we, like the Babylonians, strive to deepen our understanding of the Pythagoras’ theorem, and on the various triples that generate these useful right-angles for our everyday practical applications. The Pythagoras’ theorem has greatly helped humankind to evolve. It is universally applicable, but still it is exclusively binding to two dimensions. Since we live in a three dimensional world, the awareness of this gap in knowledge begs the question - How does the Pythagoras’ theorem looks like in three dimensions (i.e., X3+Y3=Z3)?
Personal webpage: https://www.researchgate.net/profile/Luis_Teia/