Tessellations are arrangements of closed shapes without overlapping and without gaps that completely cover the regular division of a plane. Escher took a special interest in what he called "metamorphoses," in which the shapes change and interact with each other, and at times even broke free of the plane itself. According to Smith, Escher's interest in tessellations…
Pythagoras is a greek mathematician and astronomer. He is best known for the Pythagorean theorem but is also known for other math related theories. He founded a group called the Pythagoreans, who also are credited to math related theories. He also has many astronomical theories, some proven and some disproven. Pythagoras was born around 570 BC in Samos, Greece. His dad was a traveling merchant, so his mom had to raise his siblings and him by herself most of the time but Pythagoras did travel…
in a similar manner to Hipparchus, Ptolemy innovated upon Hipparchus’ method by inscribing regular polygons inside a circle and calculating the resulting chords from each polygon. By combining this with a method to find the chord subtended by half the arc of a known chord, Ptolemy calculated chord lengths accurate to six decimal places [2]. Ptolemy and his predecessors already knew…
about shapes and reflection. Miss B asked some pupils to come and do some reflections on the smart board. After that we had a new lesson for maths which was about a theory. L. O. I can prove or disprove a theory. Theory: Joe said I think every regular polygon has the same number of lines of symmetry as its number of sides. Prove or disprove. Foe example, A square has four sides, so it must have four lines of symmetry. In this activity I had lots of communication with all the students in my…
Flatland In Flatland when you are born, if you are a male, your shape decides your class. Isosceles triangles are the lowest class, then equilateral triangles, then squares and on and on always increasing in one side. So whatever class you’re born into that’s it, you cannot move into a higher class. Your class decides what jobs you preform and the education you receive. This is comparable to our culture because if you are born in to the lower class it is very hard to make it to the upper class.…
accuracy, while stating the limits this is known as the method of exhaustion and he used it to approximate the value of pi. For measurement of a circle he did it by drawing a larger regular hexagon outside a circle and a smaller regular hexagon inside it. And he did this by doubling the number of sides of each polygon calculating the length of each at each step. As the number goes up it becomes more accurate of a circle. He also proved that pi equals to the area of the circle multiplied by the…
formulas to calculate the areas of regular shapes, using a revolutionary method of capturing new shapes by using pre-existing shapes. During this time period, his understanding of geometric shapes and volume was extraordinary. One of Archimedes most famous works is Measurement of the Circle. The Measurement of the Circle is the exact distance of Pi, from values 3 1/7 and 3 10/17. He discovered this by circumscribing and inscribing a circle with regular polygons with 96 sides. He also was…
“skins” that are painted versions of regular items. There are over 450 different skins and they can cost as little as $0.03 to as much as $23,000 dollars! As the game grew lots of people would watch professional teams play each other and bet skins on the teams like real life sports betting. At the same time gambling websites that used the skins as casino tokens were opening up and lots of people played on them. The websites had all of the games that are in regular casinos such as blackjack,…
Remember, it only knows how to walk in straight lines and turn around.” Playing with the Logo turtle on screen in sixth grade was my first exposure to computer science. I was immediately fascinated by the idea of approximating a smooth circle with a regular polygon of, say, 360 sides. Staring at the “circle” on screen, I could not quite digest the fact that it was something produced in a fundamentally different way compared to the one I could draw with a pair of compasses, though neither of…
model the object to their correct scale and proportion. For less complex objects, we can just use the basic object shapes available or the different kind of spline tool and adjust the points/edge/polygons respectively. A few other tools also available are subdivision surface (we can use to round up regular cube shapes) and deformer tools like bending, twisting, shearing, etc. Texturing Once all the modelling for objects, characters, and environment is completed, we can add in appropriate…