Animation is motion a round us, the movement of object, animals and human in sequence. Usually, the process when motion occurs from one point to another defying gravity or to alter space with time to create a state of illusion. Animation covers a variety of motion like particles animation, character animation, object animation and so on. As an animator there are various elements and principles that are supposed to be considered like timing, anticipation, etc. believe in making a better animation involves a factor various mathematics. Here I will talk about trigonometry and how it is involved in animation.
An ancient Greek astronomer and mathematician called Hipparchus. Hipparchus was the first to introduced trigonometry as part of a major branch of geometry in about 140BC. It was mainly used for solving spherical triangle and cords of triangle in ancient astrology, discovering the equinoxes, which brought together the first known star catalog and calculating years. "Hipparchus in his book on the rising of the twelve signs of the zodiac shows by means of numerical calculations that e...
The Stories Behind Lotte Reiniger’s The Adventures of Prince Achmed The word “animation” defines as the technique of photographic successive drawings to create an illusion of movement, bringing a sense of life and vigor. Animation is usually associated with a sequence of drawings, bringing fluidity and character to a sketch. The same is said to miniature models, by the use of stop-motion; but what about cutouts?
The animation techniques give
Animation, when the word is said it brings a different picture to everybody’s mind. In the beginning of this class when someone said animation I thought of Disney, Pixar, semi-modern animations on the screen. Through History of Animation when someone now says animation I think of shorts, cartoons, anime, and stop-motion animation. When thinking of animation I think about the hours, days, months, years that go to animation either three-dimensional animations or two-dimensional animations, but stop-motion animation, in my opinion, a more hard form to animate. To create inanimate objects in reality either everyday objects or objects one has created themselves and bring them to life is a hard foot to do in three-dimensional animations or two-dimensional animations but in reality, it takes a lot more time and dedication than normal animated films.
Hesiod, writing in the 8th century BC, used celestial bodies to indicate agricultural cycles: "When the Pleiads, Atlas' daughters, start to rise, begin your harvest; plough when they go down" (Hesiod 71). Later Greek scientists, such as Archimedes, developed complicated models of the heavens-celestial spheres-that illustrated the "wandering" of the sun, the moon, and the planets against the fixed position of the stars. Shortly after Archimedes, Ctesibus created the Clepsydra in the 2nd century BC. A more elaborate version of the common water clock, the Clepsydra was quite popular in ancient Greece. However, the development of stereography by Hipparchos in 150 BC.
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Aristarchus lived from about the year 310 B.C. to about 230 B.C. Aristarchus was the first Greek philosopher and mathematician to make sense of the solar system. Others before him thought that the Earth is a sphere and that it moves, but he was the first to understand the heliocentric theory, which states that the sun is in the middle. In 288 or 287 B.C. he followed Theophrastus as the head of the Peripatetic School established by Aristotle.
Aristarchus was a scientist who argued that not only was the earth rotates around the sun but that it rotates on its own axis. Another astronomer was Eratosthenes who determined that the earth was round. Along with science also came the knowledge of geometry and medicine. Euclid came up with geometry and because of him a scientist named Archimedes had used geometry to work on the geometry of spheres and cylinders, which helped him establish pi. With the help of science, a scientist named Hippocrates was able to use science to help make the scientific foundations of medicine.
Anime is the Japanese take on the word "animation". It represents the Japanese style of animating cartoons. However, not all anime is for children. Majority imported to America is aimed at an adult audience- containing deep storylines, graphic violence, gore, as well as nudity and adult situations. This cinematic genre is a fast growing trend in the west and can now possibly be considered the most popular phenomenon among
Greek mathematics began during the 6th century B.C.E. However, we do not know much about why people did mathematics during that time. There are no records of mathematicians’ thoughts about their work, their goals, or their methods (Hodgkin, 40). Regardless of the motivation for pursuing mathematical astronomy, we see some impressive mathematical books written by Hippocrates, Plato, Eudoxus, Euclid, Archimedes, Apollonius, Hipparchus, Heron and Ptolemy. I will argue that Ptolemy was the most integral part of the history of Greek astronomy.
Animations is simulation of movement created by displaying a series of pictures, or frames. Cartoons on television is one example of animation. Animation on computers is one of the chief ingredients of multimedia presentations. There are many software applications that enable you to create animations that you can display on a computer monitor.
In this chapter, it has shown a brief history of animation and how it started in the early days of animation. It also discussed about 2D in brief and 3D. Also the techniques applied in making of animation since early ages with the evolution of 2D to 3D animation.
Physics began when man first started to study his surroundings. Early applications of physics include the invention of the wheel and of primitive weapons. The people who built Stone Henge had knowledge of physical mechanics in order to move the rocks and place them on top of each other. It was not until during the period of Greek culture that the first systematic treatment of physics started with the use of mechanics. Thales is often said to have been the first scientist, and the first Greek philosopher. He was an astronomer, merchant and mathematician, and after visiting Egypt he is said to have originated the science of deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher. He discovered simple numerical ratios relating the musical tones of major consonances, to the length of the strings used in sounding them. The Pythagorean theorem was named after him, although this fundamental statements of deductive geometry was most likely first an idea from Egyptian methods of measurements. With the help of his followers he discovered that the earth was a sphere, but he did not believe it revolved around the sun.
Computer Graphics is the bond between humans and computers. Computer graphics is a large field that branches into almost all fields of computer science; however its roots are young. Computer graphics has massively grown over the past 40 years and is now our primary means of communication with computer applications. Do to technological limitations in the 1950s, computer graphics began as a small, specialized field. The Whirlwind project at the Massachusetts Institute of Technology is marked as the origin of computer graphics (Machover 14).
Animations are a series of drawings, computer graphics, or photographs of objects, like puppets and models, which are different from each to create a variety of entertainment for the audiences. Animations are what brings excitement and mystery, hooking the audience in through interest. It is a form of some sort of “magic” where things that aren’t real but from the imagination comes to life in front of people who live these mundane, ordinary lives, adding color to the eyes and mind. The creators of such amazing arts and creation are animators.
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).