Projective geometry

As designers and creators we have endless methods to create art, we can express ourself in any way we want. With interior design you will always find yourself creating new environments, so is a common thought to imagine that a client may ask you to design his/her new living room with a contemporary style, of course, for this design you need to add objects such as furniture in order for the client to have a clear vision of how this space is going to look like. But sometimes objects drawn in one dimension won’t show your whole perception of the space. Two-dimensional drawings will provide the realistic component in your designs, allowing you to see more than one side. Is almost like a trick to the eye, your concept can influence your clients in a more successful way just by incorporating what is called “linear perspective drawing”. One of my favorite techniques that I studied is called linear perspective which allows creating the illusion of space on a 2D surface using just lines, is important to mention that linear perspective is just one of six ways to create the illusion of space on a two-dimensional surface (Fussell). We will be discussing two-point perspective (which is a type of linear perspective drawing), learning how to draw an object in two-point perspective will allow you to understand the importance of proportions and angles when it comes to the elaboration of objects in the design field, but before jumping into that we need to define certain terms in order to…

I continued on in high school with geometry, a second year of algebra, precalculus, trigonometry, and calculus. Thus far, my math courses in college have also been easy for me. My least favorite teacher was my calculus teacher, and it was not solely because of the tough subject matter. He was an engineer who took up teaching after retirement. He very simply could not teach well. He would stand in front of the board and talk through the problem at a pace that was almost impossible to follow. I…

in the eastern Agean. He was the son of Mnesarchus and his mother's name was Pythais as early writers say. His father was a gem-engraver or a merchant. As to the date of his birth Asistoxenus stated that Pythagoras left Samos in the reign of Polycrates at the age of forty. Great Philosophers/Scholars does not agree that Pythagorean Theorem was proved by himself. In twentieth century Bartel Leendar van der Waerden conjected that Pythagorean triple were discovered algebraically by the…

As the arrangement of 38 timber columns in Wisdom Path forms a figure “8” pattern which means infinity makes the secret spot looking extraordinary, we would like to develop this concept into our design by forming the shape of art installation to look like a circle instead of the “8” pattern. It will be too direct if we use the figure “8” pattern in our design as it will be like an imitating artwork of the wisdom path therefore we came up with an idea which is to form a circle shape for the art…

great mathematicians like Archimedes, Pythagoras, Euclid and Eratosthenes who provided the modern world with a strong base to the knowledge we have today. They gave the modern world hydrostatics, the volume of a sphere and the calculation of pi which is used to design impressive sea vessels, industrial tanks and modern medical devices respectively. Additionally, the modern world received from the ancient Greeks the Pythagoras theorem which has been beneficial to fields like astronomy and…

The Greek mathematician and philosopher Pythagoras (c. 580-c. 500 B.C.) is one of the few figures in ancient times, or indeed in any age, who warrants comparison to the extraordinary Imhotep. Although he is best known for his famous geometrical theorem, his accomplishments ranged far beyond mathematics and involved areas as diverse as music, politics, and religion. Like Imhotep, he was a figure larger than life. Some historians suggest that he never really lived; in fact it appears highly likely…

When thinking about M.C. Escher’s work, one would think of geometrical birds flying across the print with a landscape shown underneath, cubes and spheres overlapping one another, and weird surreal prints of inverted architecture. That is because he is most famous for his mathematical tessellations, which are tiling shapes overlapping one another creating a pattern that could be endless. Instead of just using any old shape, he used animals and other objects that made it more difficult for him to…

known for his writing and comments on Ptolemy’s books, Almagest and Handy Tables. Theon influenced Hypatia greatly; she continued his program. This program was to preserve mathematical and astronomical Greek heritage in scarce times. She is accredited with the comments she made on Apollonius of Perga Conics, geometry, and Diophantus of Alexandria’s Arithmetic, number system. She pushed her father’s thoughts. In her time she was the lead mathematician and astronomer. She is the only woman who…

contributions made by Islamic mathematician Muhammad Al-Khwarizmi to the difference subjects of algebra, geometry and trigonometry. Ideas discovered by Al-Khwarizmi are discussed as well as other concepts that serve as proof of his understanding of various complex ideas we use nowadays. These concepts include simplifying equations, completing the square and trigonometric tables. Key-Words: - Islam, Mathematics, Algebra, Geometry, Trigonometry 1 Introduction Throughout time, cultures and…

In ancient Egypt, the Nile would flood its banks each year, flooding the land and destroying the farm areas. When the waters receded and the people had to redefine the boundaries. This work was called geometry and was seen as a re-establishment of the principle of law and order on earth. (Lawlor, 6) The best lessons that I remember from my own math learning were the ones that involved interactivity with hands-on tools and tasks that connected to real life. Curious about how others viewed math…