|
Jun Maekawa
is a Japanese software engineer, mathematician, and origami artist. He is known for popularizing the method of utilizing crease patterns in designing origami models, with his 1985 publication ''Viva Origami'', as well as other paperfolding-related theorems and mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( .... One of them being Maekawa's theorem in relation to the flat-foldability of origami models. Maekawa currently serves on the committee board of the Japanese Origami Academic Society (JOAS), of which he also served as the committee-chief in the previous years. Outside of extensive research in mathematical-related topics, he also publishes articles on origami-related history and occurrences in the JOAS publications. He is the president of a software ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Crease Pattern
Crease may refer to: * A line (geometry) or mark made by folding or doubling any pliable substance * Crease (band), American hard rock band that formed in Ft. Lauderdale, Florida in 1994 * Crease pattern, origami diagram type that consists of all or most of the creases in the final model * Crease Range, mountain range in northern western British Columbia, Canada * Skin crease, areas of skin where it folds People * Crease (surname) Sports * Crease (cricket), area demarcated by white lines painted or chalked on the field of play * Crease (hockey), volume of space in an ice rink directly in front of the goalie net, indicated by painted red lines on the rink surface * Crease, in lacrosse Lacrosse is a contact team sport played with a lacrosse stick and a lacrosse ball. It is the oldest organized sport in North America, with its origins with the indigenous people of North America as early as the 12th century. The game w ..., white circle around the orange net, into ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maekawa's Theorem
Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. The same result was also discovered by Jacques Justin and, even earlier, by S. Murata. Parity and coloring One consequence of Maekawa's theorem is that the total number of folds at each vertex must be an even number. This implies (via a form of planar graph duality between Eulerian graphs and bipartite graphs) that, for any flat-foldable crease pattern, it is always possible to color the regions between the creases with two colors, such that each crease separates regions of differing colors.. See in particular Theorem 3.1 and Corollary 3.2. The same result can also be seen by considering which side of the sheet of paper is uppermost in each region of the folded shape. Related results Maekawa's theorem does not com ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Flat-foldability
The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve mathematical equations up to the third order. Computational origami is a recent branch of computer science that is concerned with studying algorithms that solve paper-folding problems. The field of computational origami has also grown significantly since its inception in the 1990s with Robert Lang's TreeMaker algorithm to assist in the precise folding of bases. Computational origami results either address origami design or origami foldability."Lecture: Recent Results in Computational Origami". ''Origami USA: We are the American national society devoted to origami, the art of paperfolding''. Retrieved 2022-05-08. In origami design problems, the goal is to design an object that can be folded out of paper given a specific targ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japanese Origami Academic Society
Japanese may refer to: * Something from or related to Japan, an island country in East Asia * Japanese language, spoken mainly in Japan * Japanese people, the ethnic group that identifies with Japan through ancestry or culture ** Japanese diaspora, Japanese emigrants and their descendants around the world * Japanese citizens, nationals of Japan under Japanese nationality law ** Foreign-born Japanese, naturalized citizens of Japan * Japanese writing system, consisting of kanji and kana * Japanese cuisine, the food and food culture of Japan See also * List of Japanese people * * Japonica (other) * Japanese studies , sometimes known as Japanology in Europe, is a sub-field of area studies or East Asian studies involved in social sciences and humanities research on Japan. It incorporates fields such as the study of Japanese language, history, culture, litera ... {{disambiguation Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Of Paper Folding
The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve mathematical equations up to the third order. Computational origami is a recent branch of computer science that is concerned with studying algorithms that solve paper-folding problems. The field of computational origami has also grown significantly since its inception in the 1990s with Robert Lang's TreeMaker algorithm to assist in the precise folding of bases. Computational origami results either address origami design or origami foldability."Lecture: Recent Results in Computational Origami". ''Origami USA: We are the American national society devoted to origami, the art of paperfolding''. Retrieved 2022-05-08. In origami design problems, the goal is to design an object that can be folded out of paper given a specific targ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Origami Artists
) is the Japanese art of paper folding. In modern usage, the word "origami" is often used as an inclusive term for all folding practices, regardless of their culture of origin. The goal is to transform a flat square sheet of paper into a finished sculpture through folding and sculpting techniques. Modern origami practitioners generally discourage the use of cuts, glue, or markings on the paper. Origami folders often use the Japanese word ' to refer to designs which use cuts. In the detailed Japanese classification, origami is divided into stylized ceremonial origami (儀礼折り紙, ''girei origami'') and recreational origami (遊戯折り紙, ''yūgi origami''), and only recreational origami is generally recognized as origami. In Japan, ceremonial origami is generally called "origata" ( :ja:折形) to distinguish it from recreational origami. The term "origata" is one of the old terms for origami. The small number of basic origami folds can be combined in a variety of w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1958 Births
Events January * January 1 – The European Economic Community (EEC) comes into being. * January 3 – The West Indies Federation is formed. * January 4 ** Edmund Hillary's Commonwealth Trans-Antarctic Expedition completes the third overland journey to the South Pole, the first to use powered vehicles. ** Sputnik 1 (launched on October 4, 1957) falls towards Earth from its orbit and burns up. * January 13 – Battle of Edchera: The Moroccan Army of Liberation ambushes a Spanish patrol. * January 27 – A Soviet-American executive agreement on cultural, educational and scientific exchanges, also known as the "Lacy-Zarubin Agreement, Lacy–Zarubin Agreement", is signed in Washington, D.C. February * February 1 – Egypt and Syria unite to form the United Arab Republic. * February 2 – The ''Falcons'' aerobatic team of the Pakistan Air Force led by Wg Cdr Zafar Masud (air commodore), Mitty Masud set a World record loop, world record performing a 16 aircraft diamon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
