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MTArchive

An archive of online columns written by Ivars Peterson (1996-2007) and updated.

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MTArchive | mtarchive.blogspot.com Reviews
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An archive of online columns written by Ivars Peterson (1996-2007) and updated.
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MTArchive | mtarchive.blogspot.com Reviews

https://mtarchive.blogspot.com

An archive of online columns written by Ivars Peterson (1996-2007) and updated.

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1

MTArchive: July 2013

http://mtarchive.blogspot.com/2013_07_01_archive.html

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Friday, July 19, 2013. Playing with integers can lead to all sorts of little surprises. A whole number that is equal to the sum of all its possible divisors—including 1 but not the number itself—is known as a perfect number. For example, the proper divisors of 6 are 1, 2, and 3, and 1 2 3 equals 6. Incidentally, if the sum works out to be less than the number itself, the number is said to be defective. 1707- 1783) proved the ...

2

MTArchive: September 2011

http://mtarchive.blogspot.com/2011_09_01_archive.html

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Sunday, September 25, 2011. A Catalog of Random Bits. Random numbers are a precious commodity, whether expressed as strings of decimal digits or simply 1s and 0s. Computer scientist and mathematician George Marsaglia. 1924-2011) spent most of his career producing and testing random numbers. To describe any algorithm that employs random numbers. A century ago, researchers who needed random numbers in their scientific work actu...

3

MTArchive: October 2013

http://mtarchive.blogspot.com/2013_10_01_archive.html

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Sunday, October 20, 2013. Watch him pull a rabbit out of his hat? Arthur T. Benjamin. Eschews the usual trappings of the magician's trade. Calling himself a mathemagician. He astonishes audiences with amazing feats of mental arithmetic. Behind the scenes, he reveals how you, too, can look like a genius without really trying. Photo by Richard Haverty. With comedian Stephen Colbert on The Colbert Report. For example, to multipl...

4

MTArchive: June 2011

http://mtarchive.blogspot.com/2011_06_01_archive.html

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Wednesday, June 29, 2011. The Complexity of TipOver and Other Puzzles. This scenario is the basis for an entertaining and challenging puzzle called TipOver. In 2006, Games. Magazine named it " puzzle of the year. TipOver started out as an online game invented by James W. Stephens of Atlanta. It's featured on his PuzzleBeast website. As the " Kung Fu Packing Crate Maze. Puzzle inventor M. Oskar van Deventer. Robert A. Hearn.

5

MTArchive: July 2011

http://mtarchive.blogspot.com/2011_07_01_archive.html

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Sunday, July 31, 2011. More than 5,000 mathematicians come annually to the Joint Mathematics Meetings. JMM), held in January. In recent years, amidst the usual lectures, poster sessions, job interviews, and much else, these gatherings have also featured an evening event for those particularly interested in mathematical crafting. Smith College) and Carolyn A. Yackel. In the realm of counted cross stitch. Northwest Missouri Sta...

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The Mathematical Tourist: Fountain Parabolas

http://mathtourist.blogspot.com/2011/05/fountain-parabolas.html

May 22, 2011. Shooting graceful arcs of water into the air, fountains can offer lessons in geometric spectacle. The fountain at the National Gallery of Art Sculpture Garden. In Washington, D.C., is a notable example. The circular fountain at the National Gallery of Art Sculpture Garden shoots parabolic streams of water from its circumference toward its center. Water jets shooting from standard nozzles quickly spread out and lose definition as parabolas. At Detroit Metropolitan Wayne County Airport. The w...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: A Mathematical Eye on Portland

http://mathtourist.blogspot.com/2014/07/a-mathematical-eye-on-portland.html

July 23, 2014. A Mathematical Eye on Portland. Will be held August 6-9, 2014, in Portland, Oregon, bringing together more than 1,500 mathematicians. Known for its riverfront scenery, culinary delights, and cool vibe, the city also has a lively art and architecture scene. And you can find lots of examples of embedded mathematics, from the parabolic arcs of the city's fountains to the geometric intensity of its bridges. In a city of many bridges, the Hawthorne Bridge. And " Fountain Parabolas. A particular...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: December 2012

http://mathtourist.blogspot.com/2012_12_01_archive.html

December 15, 2012. Umbilic Torus, Writ Large. Has a new landmark—a gracefully contoured, intricately patterned ring that rises 24 feet above its granite base. Installed. In October, this bronze sculpture is a visual testament to the beauty of mathematics. Created by noted sculptor and mathematician Helaman Ferguson. Helaman Ferguson stands with a completed portion of his. Umbilic Torus SC sculpture in his Baltimore warehouse studio. Titled Umbilic Torus SC. The basic underlying form is a torus. Imagine s...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: November 2012

http://mathtourist.blogspot.com/2012_11_01_archive.html

November 22, 2012. Crafting a Penrose Tiling. An array of wooden tiles assembled into an intriguing pattern flecked with stars forms a striking contrast to the regular arrangement of bricks making up the wall on which it hangs on the third floor of Avery Hall, home of the mathematics department at the University of Nebraska-Lincoln. The particular tiling pattern depicted in the wall piece is one of two Penrose rhomb arrangements that have the dihedral automorphism group. Photos by I. Peterson. Plaster Mo...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: January 2012

http://mathtourist.blogspot.com/2012_01_01_archive.html

January 9, 2012. Courtesy of Frank Farris. Published in Mathematics Magazine. Vol 84, No. 4 (October 2009), p. 254. We need more articles! Suggest titles and/or authors. Monday, January 09, 2012. Links to this post. January 8, 2012. This year's display of mathematical art. At the Joint Mathematics Meetings. In Boston featured an eye-popping array of three-dimensional structures. One of my favorites was a crinkled surface—an intricately pleated cone—crafted from a single sheet of blue paper. Welcome to an...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: July 2014

http://mathtourist.blogspot.com/2014_07_01_archive.html

July 23, 2014. A Mathematical Eye on Portland. Will be held August 6-9, 2014, in Portland, Oregon, bringing together more than 1,500 mathematicians. Known for its riverfront scenery, culinary delights, and cool vibe, the city also has a lively art and architecture scene. And you can find lots of examples of embedded mathematics, from the parabolic arcs of the city's fountains to the geometric intensity of its bridges. In a city of many bridges, the Hawthorne Bridge. And " Fountain Parabolas. A particular...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: June 2013

http://mathtourist.blogspot.com/2013_06_01_archive.html

June 25, 2013. Pentagons and Game Balls. The game of sepak takraw. A popular form of kick volleyball in Southeast Asia, uses a woven ball that, in its simplest form, has 12 pentagonal holes and shows a weaving pattern with 20 intersections. The twelve pentagons remind me of a regular dodecahedron. One of the Platonic solids. Traditionally made from rattan. Such a ball may be constructed from six long strips ( instructions. More complicated weavings produce triangular patterns on the ball's surface (below).

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The Mathematical Tourist: Bending a Square Prism

http://mathtourist.blogspot.com/2010/07/bending-square-prism.html

July 10, 2010. Bending a Square Prism. 1929-2005) are based on simple geometric elements—often a. Wrought into an evocative form. 1971) is in front of the Esther Raushenbush Library, Sarah Lawrence College, Bronxville, N.Y. In a typical sculpture, a single rectangular volume twists and turns upon itself before lunging into space, suggesting a forceful release of tension or a mood of exhilaration. 1974) Hale Boggs Federal Building Plaza, New Orleans. 1969) Portland Art Museum, Oregon. Welcome to an occasi...

mathtourist.blogspot.com mathtourist.blogspot.com

The Mathematical Tourist: August 2013

http://mathtourist.blogspot.com/2013_08_01_archive.html

August 19, 2013. The craft of counted cross-stitch. Lends itself to the creation of elegant patterns on fabric, and mathematician Mary D. Shepherd. Has taken advantage of this form of needlework to vividly illustrate a wide variety of symmetry patterns. Mary Shepherd with her cross-stitch symmetries sampler. Photo by I. Peterson. The fabric that Shepherd uses is a grid of squares, and the basic stitch appears as an X on the fabric. In other words, one cross-stitch covers one square of the fabric. Six of ...

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MTArchive

An archive of online columns written by Ivars Peterson (1996-2007) and updated. Monday, February 20, 2017. Drawing and constructing polyhedra. Is a pastime that goes back to the Renaissance and perhaps even earlier times. Leonardo da Vinci. 1452–1519), for one, created illustrations of various polyhedra. For a 1509 book on the divine proportion by Luca Pacioli. But the realm of polyhedra encompasses all sorts of additional forms: spiky stellated polyhedra. Intricate, interlocked shapes, buckyballs. His p...

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