Tuesday, March 24, 2009
Taiwan_Fruit
Taiwan's climate is marine tropical. The entire island succumbs to hot humid weather all. There are not so much different between the seasons. raining season is in May. Because of the weather, the fruit is variety and sweet and juicy.
people use the fruit to make different kind of beverages and ice-cream.
Hot pod
Taiwan Hot pod is different frome Japanese shabu shabu. People usually eat in the cold weather. People let the center hot pod boiling and keep put food inside. There are different kind of flavor soup,such as nomal , miso, spicy and chinese herbal. The reason of this kind circle shape display means reunion. We share the food and life through the hot pod. it is health for human.
Taiwan_food
Taiwan is a island country. People are influenced by different culture that around the ocean. Food is the best way to keep different culture together and have fun with it. Night market is the most popular culture in Taiwan. Chinese people treat the food as their primary. People can share the good experience and culture through the food.
Wednesday, February 25, 2009
math art
Escher spent many days sketching these tilings, and later claimed that this “was the richest source of inspiration that I have ever tapped.” In 1957 he wrote an essay on tessellations, in which he remarked:
In mathematical quarters, the regular division of the plane has been considered theoretically . . . Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature thay are more interested in the way in which the gate is opened than in the garden lying behind it.
Whether or not this is fair to the mathematicians, it is true that they had shown that of all the regular polygons, only the triangle, square, and hexagon can be used for a tessellation. (Many more irregular polygons tile the plane – in particular there are many tessellations using irregular pentagons.) Escher exploited these basic patterns in his tessellations, applying what geometers would call reflections, glide reflections, translations, and rotations to obtain a greater variety of patterns. He also elaborated these patterns by “distorting” the basic shapes to render them into animals, birds, and other figures. These distortions had to obey the three, four, or six-fold symmetry of the underlying pattern in order to preserve the tessellation. The effect can be both startling and beautiful.
In Reptiles the tessellating creatures playfully escape from the prison of two dimensions and go snorting about the destop, only to collapse back into the pattern again. Escher used this reptile pattern in many hexagonal tessellations. In Development 1, it is possible to trace the developing distortions of the square tessellation that lead to the final pattern at the center.
In mathematical quarters, the regular division of the plane has been considered theoretically . . . Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature thay are more interested in the way in which the gate is opened than in the garden lying behind it.
Whether or not this is fair to the mathematicians, it is true that they had shown that of all the regular polygons, only the triangle, square, and hexagon can be used for a tessellation. (Many more irregular polygons tile the plane – in particular there are many tessellations using irregular pentagons.) Escher exploited these basic patterns in his tessellations, applying what geometers would call reflections, glide reflections, translations, and rotations to obtain a greater variety of patterns. He also elaborated these patterns by “distorting” the basic shapes to render them into animals, birds, and other figures. These distortions had to obey the three, four, or six-fold symmetry of the underlying pattern in order to preserve the tessellation. The effect can be both startling and beautiful.
In Reptiles the tessellating creatures playfully escape from the prison of two dimensions and go snorting about the destop, only to collapse back into the pattern again. Escher used this reptile pattern in many hexagonal tessellations. In Development 1, it is possible to trace the developing distortions of the square tessellation that lead to the final pattern at the center.
Subscribe to:
Posts (Atom)