Fibonacci

UPenn’s College of Engineering is among the finest in the world. Penn is well known for it's programs such as the Penn Integrates Knowledge initiative and award-winning professors like Dr. Kumar, whose robotics research earned him induction to the National Academy of Engineers. All faculty members approach their subject matter with unmatched enthusiasm and vivacity, providing students an incomparable opportunity to master their content. But what attracts me the most is that the school does not…

Ultimately, the arrival of the theory of evolution displaced the need to invoke God to explain the order of the natural world. The early design arguments took the order and complexity of biological systems such as the eye and beseeched God as an explanation of them. The theory of evolution can now explain how simple organisms developed into the complex beings that we see around us, and obviously are ourselves. It may be, then, that these arguments from design are no longer compelling. C)…

how even though we consider our socially so “civilized” and “modern,” our polluting behavior to our Earth seems to indicate the contrary. This is why the nineteen triangles that create the layout for Love the Ocean, Don’t Leave Trash, fit into the Fibonacci Spiral. Furthermore, the content of Bird’s Nest regarded an important issue, the devastating conquest of Tibet by the Chinese. Hongtu’s piece made a direct commentary about this injustice; thus the artwork was withdrawn from China by the…

One of the most influential tools that the human race has to offer is the calculator. The calculator is an asset that helps people perform various arithmetic functions such as addition or division. Over the years, the functionality and the apparel of the calculator have evolved over time. In fact, the history of the calculator can even date back before the years of 1900. Ancient civilizations such as Egypt, Middle East, and even Europe had their own variation of the calculator. In the book,…

Sitting in Algebra II, you may think to yourself: when am I ever going to use any of this in the real world? You are going to use all of the skills you learn in Algebra II more than you will ever realize. Using trigonometry, linear functions, series and sequences, and rational functions are prevalent in everyday life. In this fun, exciting report, you will learn about many situations in which you use Algebra II without even recognizing it! Trigonometry is a widely used math concept in everyday…

I don’t remember ever asking where it all came from. I grew up in what was, for the most part, a highly educated and progressive environment with little exposure to much else – I remember many happy hours spent with those glossy DK children’s books and I’m sure I came across early humans at some point – but I don’t know that I was aware of anything but evolution until middle school. I had been introduced to the creation story from the bible in school, but with it came various Native American…

what the actual problem is and how the problem excited – ““On a soldier receiving three hundred bezants for his fief.” In the problem, the soldier receives an annuity from the king of 300 bezants (the coin in Byzantium) per year, paid quarterly. Fibonacci asks what would be the reduction in value if the king decided instead to defer the quarterly payments to a single payment at the end of the year.” The NPV [Net Present Value] is the most important financial tool in modern…

Mathematics is a universal truth that not even nature can defy; it is logic and it is beauty. Mathematics is found at the core of my life and in the lives of every living thing: shells show off the fibonacci sequence, humans live neverending patterns, every great architectural masterpiece from the Parthenon to Frank Lloyd Wright's houses are built and designed with great mathematical precision. To break from pattern is the only unknown that exists, but it will always show growth and leave room…

 Musical Notes Can Count Jerri Pineda Abstract— The development of mathematics involves early connections with music and the basic physics of sound. Mathematics is present in the natural occurrence of the ratios and intervals found in music and modern tuning systems. As people age, their hearing becomes dull and require change in the music ratio and interval to hear the same tune as when young. In like manner, the interval increases until a perfect pitch is heard. In this paper we will examine…

“The golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.” (Elaine J. Hom )After the 21st century, golden ratio represents as a phi in Greek alphabet. The equation for golden ratio is a/b = (a+b)/a = 1.6180339887498948420 …,but if we round it two places, it will be 1.62.the golden ratio is also called the golden mean, golden section, golden number and so on. The…