See this at: members.wri.com| Added on 05/22/06

Mathematica generated interlocking gears created by Harry Calkins (harryc@wolfram.com)

Mathematica generated interlocking gears created by Harry Calkins (harryc@wolfram.com) See less

See this at: tacomacc.edu| Added on 05/22/06

tics—techniques such as counting, ordering, sorting, measuring, weighing, ciphering, classifying, ordering, inferring and modeling. Thus they define mathematics as the quantitative techniques that humans develop in response to the problems,... See more

tics—techniques such as counting, ordering, sorting, measuring, weighing, ciphering, classifying, ordering, inferring and modeling. Thus they define mathematics as the quantitative techniques that humans develop in response to the problems, struggles, and endeavors of human survival. So what was the first use of quantitative techniques in human development? It is important to realize that this development development of quantitative thinking always takes place within a cultural context. It is influenced by and influences that culture. Indeed, quantitative thinking is a vital component of culture. So what was the first use of quantitative techniques or tics in human development? And who were the first people to do this mathematics? The evidence points to women as the first people to do mathematics and to menstruation as the motivation for this activity. This evidence begins with the Ishango bone, a small scratched bone found on the shores of Lake Edward in Zaire, Africa. A microscopic... See less

See this at: spsu.edu| Added on 05/22/06

In the figure below, the blue square is the square of the hypoteneuse of the red triangle. The blue square is clearly equal in area to the purple plus the green square. But the purple square is the square of one of the legs of the red triangle. The... See more

In the figure below, the blue square is the square of the hypoteneuse of the red triangle. The blue square is clearly equal in area to the purple plus the green square. But the purple square is the square of one of the legs of the red triangle. The green square is the square of the other leg. This dissection is attributed to Henry Perigal. In fact, the construction above is specific to the particular triangle that arises in the tiling above, but another method can be used to show the Pythagorean Theorem for any triangle. See less

See this at: home.earthlink.net| Added on 05/22/06

I was walking along Commonwealth Drive one day in Boston admiring a wrought iron fence when I became introspective, curious as to why I appraised the fence as attractive. It had something to do with the inherent symmetrical design. With this in mind,... See more

I was walking along Commonwealth Drive one day in Boston admiring a wrought iron fence when I became introspective, curious as to why I appraised the fence as attractive. It had something to do with the inherent symmetrical design. With this in mind, I scrutinized other items that I traveled past exhibiting symmetry. Some were quite provocative, others were nominally patterned, and still others were rather tedious and boring. The conclusions I depict in this essay are anything but scientific. Even if you concur one hundred percent with everything I describe, be careful when applying this to your own designs. At times the theories that we use to constrain ourselves during design come back to bite us in our rear ends. These ideas have the potential to capture your visual design processes and hold it hostage, incarcerating all of your designs to a central structural consistency. Bad plan. Please apply what you learn from this treatise where its application fits, but don't force all of... See less

See this at: ics.uci.edu| Added on 05/22/06

* Antipodes. Jim Propp asks whether the two farthest apart points, as measured by surface distance, on a symmetric convex body must be opposite each other on the body. Apparently this is open even for rectangular boxes.

* Antipodes. Jim Propp asks whether the two farthest apart points, as measured by surface distance, on a symmetric convex body must be opposite each other on the body. Apparently this is open even for rectangular boxes. See less

See this at: mathsisfun.com| Added on 05/22/06

Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents. See less

See this at: adrianbruce.com| Added on 05/22/06

You can use the HOME animation to return to this page and that way you have complete control of the pages you want to see....... ...or you can use the next arrows to step through all our pages one at a time :)

You can use the HOME animation to return to this page and that way you have complete control of the pages you want to see....... ...or you can use the next arrows to step through all our pages one at a time :) See less

See this at: m759.freeservers.com| Added on 05/22/06

Change the pair of patterns at right to any of the pairs at left. (The original pair is at top left.) To change the patterns, click on a row, then click on the row you want to move it to. Do the same for other rows and/or columns and/or quadrants.

Change the pair of patterns at right to any of the pairs at left. (The original pair is at top left.) To change the patterns, click on a row, then click on the row you want to move it to. Do the same for other rows and/or columns and/or quadrants. See less

See this at: teachers.ash.org.au| Added on 05/22/06

View recent changes and additions to this site.

View recent changes and additions to this site. See less

See this at: library.thinkquest.o...| Added on 05/22/06

We hope you enjoyed the splash page. All of the images on the splash page have connections to the topic of tessellations and can be found somewhere on this site. Hopefully, your interest in the world of tessellations has been excited!

We hope you enjoyed the splash page. All of the images on the splash page have connections to the topic of tessellations and can be found somewhere on this site. Hopefully, your interest in the world of tessellations has been excited! See less

See this at: lessons4living.com| Added on 05/22/06

This is the classical or seventh circuit labyrinth. Seven circuits refers the seven paths that lead to the center or goal. This is an ancient design and is found in most cultures. It is sometimes dated back more than 4000 years. Also known as the... See more

This is the classical or seventh circuit labyrinth. Seven circuits refers the seven paths that lead to the center or goal. This is an ancient design and is found in most cultures. It is sometimes dated back more than 4000 years. Also known as the Cretan Labyrinth it is associated with the myth of Theseus and the Minotaur. This design was found on Cretan coins. Labyrinths have most likely always been used in a spiritual manner. They can create a heightened awareness of the human condition and aid psychological and spiritual growth.To build a labyrinth is to create a sacred space. To walk a labyrinth is to imbue it with power and meaning. The more a labyrinth is used the more powerful it becomes as a symbol of transformation. The classical labyrinth has an association with Christianity. A cross is the starting point used to construct this labyrinth. The cross at the center can become the focus for meditation and the experience of the labyrinth. The classical labyrinth design is found in... See less

See this at: nativetech.org| Added on 05/22/06

Native American Technology & Art: A topically organized educational web site emphasizing the Eastern Woodland Indians region, organized into categories of Beadwork, Birds & Feathers, Clay & Pottery, Leather & Clothes, Metalwork, Plants & Trees,... See more

Native American Technology & Art: A topically organized educational web site emphasizing the Eastern Woodland Indians region, organized into categories of Beadwork, Birds & Feathers, Clay & Pottery, Leather & Clothes, Metalwork, Plants & Trees, Porcupine Quills, Stonework & Tools, Weaving & Cordage, Games & Toys and Food & Recipes. Instructional information about these materials, and background on the history and development of Native technologies. Dedicated to disconnecting the term primitive from perceptions of Native American technology and art. See less

See this at: physics.nist.gov| Added on 05/22/06

Note: This page can be accessed using http://physics.nist.gov/time Online: May 1995 - Last update: April 30, 2002 - cns

Note: This page can be accessed using http://physics.nist.gov/time Online: May 1995 - Last update: April 30, 2002 - cns See less

See this at: rpi.edu| Added on 05/22/06

These applets run best using Internet Explorer, version 6 or higher, and screen resolution of 1024 X 768 or higher. You will also need a recent java plug-in, and a recent (Player 6 or 7) flash plug-in:

These applets run best using Internet Explorer, version 6 or higher, and screen resolution of 1024 X 768 or higher. You will also need a recent java plug-in, and a recent (Player 6 or 7) flash plug-in: See less

See this at: ethnomath.org| Added on 05/22/06

This website offers numerous links to articles on ethnomathematics and lesson plans incorporating various cultures. Topics cover multicultural mathematics education, ethnomathematics, the history of mathematics, mathematicians, time and measurement,... See more

This website offers numerous links to articles on ethnomathematics and lesson plans incorporating various cultures. Topics cover multicultural mathematics education, ethnomathematics, the history of mathematics, mathematicians, time and measurement, systems of numeration, lesson plans, basketry, games, and various topics in geometry, including carpets, ironwork, knots, masks, music, origami and paper folding, stained glass, textiles, sewing, quilting, embroidery, sacred geometry, stonework, tattoo, and tesesellations. Other terms: agriculture, war, cartography. (Includes 289 weblinks) See less

See this at: en.wikipedia.org| Added on 05/22/06

Ethnocomputing is the study of how cultural, historical, personal, and societal origins and surroundings cause and affect the innovation, development, diffusion, maintenance, and appropriation of computational artifacts or ideas. In some cases,... See more

Ethnocomputing is the study of how cultural, historical, personal, and societal origins and surroundings cause and affect the innovation, development, diffusion, maintenance, and appropriation of computational artifacts or ideas. In some cases, ethnocomputing "translates" from indigenous culture to high tech frameworks: for example, analyzing the African board game Owari as a one dimensional cellular automaton. In other cases ethnocomputing seeks to identify the social, cultural, historical, or personal dimensions of high tech computational ideas and artifacts: for example, the relationship between the Turing Test and Alan Turing's closeted gay identity. From the ethnocomputing perspective, no computational technology is culturally "neutral," and no cultural practice is a computational void. In particular, the internationalization-localization process in software engineering does not eradicate cultural biases because the culture of the original designer, the culture of the ones who do... See less

See this at: cs.uidaho.edu| Added on 05/22/06

In Ethnomathematics Marcia Ascher write the following about Incas the the quipu. The Incas can be characterized as methodical, highly organized, concerned with detail, and intensive data users. The Inca bureaucracy continuously monitored the areas... See more

In Ethnomathematics Marcia Ascher write the following about Incas the the quipu. The Incas can be characterized as methodical, highly organized, concerned with detail, and intensive data users. The Inca bureaucracy continuously monitored the areas under its control. They received many messages and sent many instructions daily. The messages included details of resources such as items that were needed or available in sotrehouses, taxes owed or collecte,d encsus information, the output of mines, or the composition of work forces. The messages were transmitted rapaidly using the extensive road system via a simple, but effective, system of runners... The message had to be clear, compact, and partable. Quipu-makers were responsible for encoding and decoding the information. A quipu is an assemblage of colored knotted cotton cords... The colors of the cords, the way the cords are connected together, the relative placement of the cords, the spaces between the cords, the types of knots on the... See less

See this at: cs.uidaho.edu| Added on 05/22/06

Ethnomathematics is the study of mathematics which takes into consideration the culture in which mathematics arises. Mathematics is often associated with the study of "universals". When we speak of "universals", however, it is important to recognize... See more

Ethnomathematics is the study of mathematics which takes into consideration the culture in which mathematics arises. Mathematics is often associated with the study of "universals". When we speak of "universals", however, it is important to recognize that often something we think of as universal is merely universal to those who share our cultural and historical perspectives. If we think of mathematics as the development of structures and systems of ideas involving number, pattern, logic, and spatial configuration and then examine how mathematics arises and is used in various cultures, we can gain a much deeper understanding of mathematics. See less

See this at: wmueller.com| Added on 05/22/06

Introduction: What is a Model?

Introduction: What is a Model? See less

See this at: wmueller.com| Added on 05/22/06

Am I Ready for Calculus?

Am I Ready for Calculus? See less

See this at: mathworld.wolfram.co...| Added on 05/22/06

A new system of computer-generated music known as WolframTones has been launched by Wolfram Research. WolframTones works by taking simple programs in the form of cellular automata and using music theory and Mathematica algorithms to render them as... See more

A new system of computer-generated music known as WolframTones has been launched by Wolfram Research. WolframTones works by taking simple programs in the form of cellular automata and using music theory and Mathematica algorithms to render them as music. Each program can be viewed as defining a virtual world and WolframTones captures that computational world as a musical composition. See less

Highlights: While RSA-640 has slightly fewer digits than the previously factored RSA-200, its factorization carries the additional benefit of a cash reward of $20,000 from RSA Laboratories as part of RSA's program to encourage research into computational number theory and the practical difficulty of...

See this at: planetmath.org| Added on 05/22/06

PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members. The... See more

PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members. The entries are contributed under the terms of the GNU Free Documentation License (FDL) in order to preserve the rights of both the authors and readers in a sensible way. PlanetMath entries are written in LaTeX, the lingua franca of the worldwide mathematics community. All of the entries are automatically cross-referenced with each other, and the entire corpus is kept updated in real-time. [ Help Support PlanetMath! Assist with coding. Visit the PlanetMath store. Donate directly. More info. ] In addition to the mathematics encyclopedia, there are books, expositions, papers, and forums. You also might want to check out encyclopedia requests if you'd like to see something we don't have. We also have the encyclopedia available in offline-browsable... See less

See this at: en.wikipedia.org| Added on 05/22/06

Eric W. Weisstein, the creator of the site, was a physics and astronomy student who got into the habit of writing notes on his mathematical readings. In 1995 he put his notes online and called it "Eric's Treasure Trove of Mathematics"; it contained... See more

Eric W. Weisstein, the creator of the site, was a physics and astronomy student who got into the habit of writing notes on his mathematical readings. In 1995 he put his notes online and called it "Eric's Treasure Trove of Mathematics"; it contained hundreds of pages/articles, covering a wide range of mathematical topics. The site became popular as an extensive single resource on mathematics on the web. Weisstein continuously improved the notes and accepted corrections and comments from online readers. Around 1997, he made a contract with CRC Press and the contents of the site were published in print and CD-ROM, titled "CRC Concise Encyclopedia of Mathematics". The free online version became only partially accessible to the public. In 1999 Weisstein went to work for Wolfram Research, Inc. (WRI), and WRI renamed the Math Treasure Trove to MathWorld at http://mathworld.wolfram.com and hosted it on the company's website without access restrictions. [edit] See less

See this at: en.wikipedia.org| Added on 05/22/06

PlanetMath is a free, collaborative, online mathematics encyclopedia. The emphasis is on peer review, rigour, openness, pedagogy, real-time content, interlinked content, and community. Intended to be comprehensive, the project is located at the... See more

PlanetMath is a free, collaborative, online mathematics encyclopedia. The emphasis is on peer review, rigour, openness, pedagogy, real-time content, interlinked content, and community. Intended to be comprehensive, the project is located at the Digital Library Research Lab at Virginia Tech. PlanetMath was started when the popular free online math encyclopedia MathWorld was taken offline by a court injunction as a result of the CRC Press lawsuit against the Wolfram Research company and its employee (and MathWorld's author) Eric Weisstein. PlanetMath uses the same copyleft GFDL license used by Wikipedia. An author who starts a new article becomes the owner of that article; he or she may then choose to grant editing rights to other individuals or groups. All content is written in LaTeX, a typesetting system that requires some learning but is popular among mathematicians because of its support of the technical needs of mathematical typesetting and its high-quality output. The user can... See less

See this at: en.wikipedia.org| Added on 05/22/06

Integral and differential calculus is a central branch of mathematics, developed from algebra and geometry. The word "calculus" stems from the nascent development of mathematics: the early Greeks used pebbles arranged in patterns to learn arithmetic... See more

Integral and differential calculus is a central branch of mathematics, developed from algebra and geometry. The word "calculus" stems from the nascent development of mathematics: the early Greeks used pebbles arranged in patterns to learn arithmetic and geometry, and the Latin word for "pebble" is "calculus", a diminutive of calx (genitive calcis) meaning "limestone". Calculus is built on two major complementary ideas. The first is differential calculus, which studies the rate of change in one quantity relative to the rate of change in another quantity. This can be illustrated by the slope of a line. The second is integral calculus, which studies the accumulation of quantities, such as areas under a curve, linear distance traveled, or volume displaced. These two processes act inversely to each other, in a sense made specific by the fundamental theorem of calculus. Examples of typical differential calculus problems include: * finding the acceleration and speed of a free-falling body at... See less

See this at: sciencedaily.com| Added on 05/22/06

A team of scientists at The George Washington University and the Institute of Vertebrate Paleontology and Paleoanthropology in Beijing have discovered a new genus and species of dinosaur that is the oldest known and most primitive tyrannosauroid. The... See more

A team of scientists at The George Washington University and the Institute of Vertebrate Paleontology and Paleoanthropology in Beijing have discovered a new genus and species of dinosaur that is the oldest known and most primitive tyrannosauroid. The new basal tyrannosauroid, named Guanlong wucaii, ... > full story See less

See this at: lazaruscorporation.c...| Added on 05/15/06

a creative publication illuminating the underground with art, literature, music, events, opinions and imagination like tea in water.

a creative publication illuminating the underground with art, literature, music, events, opinions and imagination like tea in water. See less