Origami, from the original Japanese words ‘ori’ meaning folded, and ‘kami’ meaning paper, is the art of paper folding. The practice originally began as an artform, but recently it has been realised that the mathematics behind origami has many practical applications. This is due to the advances made in computer science and computational geometry. Some terms that are common in origami must first be explained in order for the tactics described below to be properly understood1. A crease, otherwise known as a fold can be convex or concave, referred to as a mountain fold, or a valley fold respectively. All the creases used form a crease pattern. If two or more creases intersect a vertex is created. If there is a series of successive creases relatively close to each other the resulting form is called a pleat. A crimp involves a reverse fold of convex and concave folds. Crimps and pleats form accordion and corrugated patterns, which are then used in a variety of applications, and a series of different combinations result in different crease patterns, the most notable of which are described further on.
Mathematics of Origami Architecture
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Origami is so interesting because it can be used to create any polyhedron from a flat piece of paper only through folding. A polyhedron is a 3D surface composed of polygons, which are 2D flat surfaces with edges that are straight lines. In order to create a polyhedron with paper one must first fold a piece of paper into a rectangle. Once this is done, triangulation must occur. A zigzag pattern is created through this triangulation, parallel to the shared edge with the next triangle and starting at the opposite corner. A mountain fold, or valley fold, is then used in order to fold the strip onto itself. The path is created by utilising this fold and folding the back layer over at the required
This book is a great example the popular fiction genre of children’s books. It is designed to appeal to the middle school aged child, which it does an excellent job of from the cover art, to the different fonts, and ‘rumpled’ look of the pages. While the Star Wars reference inherent in the Yoda and light saber may deter a few readers who are not fans of the movie, those who take the book off the shelve will be hooked from the opening line; The big question, “Is Origami Yoda real?” What young teen doesn’t wish they had a magic way to get answers to the many questions shared by kids across time - “Yoda, can you tell me how to hit a home run? I want to be a hero for once, right?“ or “Origami Yoda, why doesn’t Sara like me?“ Author Tom Angleberger gets right to the point in a straightforward, quick reading style that will keep the kids laughing and engaged. The dialogue is natural and suited to the characters. So much so that even adult readers will find themselves thinking back to middle school and remembering who a character reminds them of. Didn’t we all have a Dwight? The kid who was just plain weird? Angleberger’s references to Google and YouTube make today’s reader instantly able to relate. These same references will however eventually date the book, no one can be sure what the kids will relate to 20 years from now. The biggest draw back I see to the book is that its appeal from first glance is heavily slanted toward the male readers in the age group. I think girls, once reading it, will laugh just as hard and relate just as much but unless assigned the book in class, their odds of just picking the book off the shelve is significantly lower than for boys....
The elegance of the Katana stems from its shape and the method used to create it.
sides on a cube and this gave rise to idea for a project. The final result
On September #, 2001, the lush ruby-red curtain was drawn and music by (person) began to fill the theater. Each of the 2200 seats was filled as they listened in awe and gazed around the French Renaissance-styled room. The finale of the evening’s program featured a prideful rendition of America the Beautiful by the audience and led by Mayor (X). Just days before then, the infamous September 11th attacks had happened on the east coast. The shock was still fresh, but this night was not a night of mourning, but of celebration. After an estimated $12 million and a decade long renovation project, the Orpheum Theater of Sioux City, Iowa was back to its original 1920’s grandeur.
Folding the United States of America flag takes many steps. The United States flag must be folded correctly due to the respect and honor our nation gives to the flag. According to How to Fold an American Flag, the first step is to hold it straight with a partner. Then fold the flag once in half lengthwise. Fold the flag again the opposite way so that the carton is showing. The fourth step is to make a triangular fold on only one side of the flag. To do that, fold the outer end inward in a triangle formation. Continue the triangular fold throughout the whole flag. The last step is to properly tuck in the leftover pieces. Lastly, make sure that no candy stripes are shown and the blue carton is outward.
4. Pack an area of the object and enlarge it. Fill the space up completely
“Paper Menagerie,” by Ken Liu, is an emotional story of a selfish son and his interactions with his out-of-place mother, who had immigrated from Asia to be his father’s wife. Jack is a half-Chinese, half-American boy who lives in Connecticut. In the beginning of the story, he is very attached to his mother, but certain incidents with other kids make him want to be as distant as possible from his Chinese mom. He demands that his mom converts to being a “normal” white American mom and that he and his family should give up all Asian customs. This beautiful story shows that selfishly basing your actions on the need to fit in can harm yourself and others.
Before one can even begin to understand the way in interpellation and social history influence Ozaki story “The Bamboo Cutter and the Moon-Child”. This a fascinating story of an old bamboo cutter who was poor and sad for he had no child to call his own. One morning as usual he went out and found a nice spot and started cutting some down. Then he saw the bright light coming from on the bamboo’s and found a tiny girl inside the size of his hand. He brought her home and the couple were extremely happy. After three months the girl grew into a full size women and her step-parents decided to name her Princess Moonlight. They had a party and invited everyone they knew to celebrate their new daughter. After the party the word of her beauty spread far
Paper Airplanes, flight at its simplest for humans. As kids, we learned how to build paper airplanes and send them soaring into the sky. We didn't stop to think about why the airplanes where able to fly after the initial thrust we gave them or how they were able to glide for so long afterwards. Ignorance was bliss then, but now we strive to understand how things work. Looking back to the childhood past time of flying paper airplanes, I will try to explain some of the parts that make paper airplanes fly.
Paperclips are an everyday use in today's world. They hold our papers together, when we don’t want to use a stapler that will poke the unwanted holes into our paper. They also keep our papers organized and neat. There are many types of paper clips that were created, but only a few really were the ones. Over the many years, since ancient Eurasia, the clip has made its way through many patents, inventors, machines, and much more. There are many different colors, sizes, forms of paper clips.
Shapes are two- dimensional surfaces such as circles or squares, and forms are three-dimensional shapes like spheres or cubes. A concave form has a pushed-in surface like the inside of a bowl and a convex form has a raised surface like the outside of a bowl. When you are looking at shapes and forms, the shape that you see first is called a figure or positive shape and the area around it is called the ground or the negative shape. The natural curves in different objects, such as trees or clouds are called organic shapes. Geometric shapes and forms are precise and regular such as cubes, pyramids, and circles. A free-form is an irregular invented shape or form that has qualities of a geometric form or an organic form.
4D printing offers the ability to make things that literally pull themselves together. The technology could also create objects that last longer than their 3D-printed counterparts and adapt to specific conditions on command. 4D printing is relay about using a 3d printer to print self requfingering programmable material. For example you have a non-living object that can change his shape and behavior over time kind like a robot but no microprocessors, in fact something that looks like a plastic. Skylar Tibet’s, the man who came up with whole idea has gone even fodder; he created a programmable sheet material. It look like a plastic, that in combination with the water it could change the shape in the cube. And the cube is just a beginning. It will be a million of shapes. It could be so useful, not just on the Earth but in the orbit as well. This idea could change the world, and living on it. Imagine you could just print your furniture. An...
On first thought, mathematics and art seem to be totally opposite fields of study with absolutely no connections. However, after careful consideration, the great degree of relation between these two subjects is amazing. Mathematics is the central ingredient in many artworks. Through the exploration of many artists and their works, common mathematical themes can be discovered. For instance, the art of tessellations, or tilings, relies on geometry. M.C. Escher used his knowledge of geometry, and mathematics in general, to create his tessellations, some of his most well admired works.
The basic process of making paper has not changed in more than 2000 years. It involves two stages: the breaking up of raw materials in water to make a suspension of individual fibbers and the formation of felted sheets by spreading this suspension on a porous surface, to drain excess water. The essential steps of papermaking by machine are identical with those of hand papermaking just much more complex. The first step in machine papermaking is the preparation of the raw material. For centuries, the main raw materials used in papermaking were cotton and linen fibbers obtained from rags. Today more than 95 percent of paper is made from wood cellulose. Wood is used mainly for the cheapest grades of paper, such as newsprint. Cotton and linen fibbers are still used for high quality writing and artist’s papers. Many kinds of wood can be used such as aspen, beach, birch fir, gum, hemlock, oak, pine, and spruce.
Introduction to online 3 dimensional shapes. In geometry, the three dimensions are known as length, width and height or any three perpendicular directions can act as 3D. The basic three-dimensional shapes are listed below. Online students can get the help about three dimensional shapes.