21. George Hart, Maubeuge 15 alicia boole Stott, Geometrical deduction of semiregular from regularpolytopes and space fillings, Verhandelingen der Koninklijke Akademie van http://www.hermay.org/ARPAM/text/harten.html

ARPAM HOME WHO WE ARE MATHEMATICAL PARK ACTIVITIES ... CONTACT Maubeuge les 20, 21 et 22 septembre 2000 Solid Segment Sculptures George W. Hart Several sculptures and designs illustrate an algorithmic technique for creating solid three-dimensional structures from an arrangement of line segments in space. Given a set of line segments, specified as a position in 3-dimensional space for each endpoint, a novel algorithm creates a volume-enclosing solid model of the segments. In this solid model, a prismatoid-like strut represents each segment. The method is very efficient with polygons and produces attractive lucid models in which the sides of the "prismatoids" are oriented in directions relevant to the structure. The algorithm is applicable to a wide range of structures to be realized by 3D printing techniques. 1. Sculpture by 3D Printing As an artist of constructive geometric sculpture, I often visualize forms and then need to develop new techniques which enable me to create them. [5-10] This paper describes a new method for creating geometric structures which correspond to a given arrangement of line segments. The procedure is an essential step in my design of several recent sculptures. Figure 1. Deep Structure, George W. Hart, 2000.

22. Stott Constructions Mrs alicia boole Stott was þe daughter of George boole, þe inventor of booleanariþmetic. She had considerable interest in þe higher dimensions. http://www.geocities.com/os2fan2/gloss/ptstott.html

-: Stott Constructions :- Mirrors: Home Edges Dynkin Stott expansion of polytopes. Higher dimensions Stott Vectors o-o-5-o f . . 1 2f. 0. ff. 1 . 2f = 3.223068 f . . 1 ff. f. 1 ff. 1 . ff = 2.618033 f . . 1 ff. f. 1 f. f . f f = 1.618033 f . . 1 f. 1. ff f. f . f 1 = 1.000000 f . . 1 f. 1. ff 1. . ff = 0.000000 cyclic permutation and all change of sign Matrix Dot Wendy Krieger

23. E - Polygloss Þe family of lace prisms and tegums were formerly called exotics. expand*alicia boole Stott described a construction of polytopes, by radially expanding a http://www.geocities.com/os2fan2/gloss/pglosse.html

-: E :- Gloss: Home Intro A B ... D E F G H I ... Z ectix A six-dimensional manifold: see hedrix ecton A six-dimensional mounted polytope: see hedron edge A line segment as a 1d surtope When edge is prefixed by a number, as in 6-edge surexon , and margin edge-uniform An equalateral vertex-uniform polytope. in common usage. edge vector Stott Vectors Edge vectors can contain negative values, such are used in drift efficiency Leech-Unit Q-Unit Implied S tegmal radians endo- endofy endocell endoanalysis An analysis of densities. out-vector endocell endoface endowall A wall bounding an endocell. equi- Being equal in measure. iso- and homo equidistant Two isocurves equilateral Having equal edges. equimarginal , is not in general circulation. equimarginal margin angles equilateral Euclidean A name in common use to refer to space of zero curvature. horo- Eutactic excess exon A mounted 6d polytope, or a 6d ' hedron depreciated in favour of ecton exix for ectix. exoskeleton periform Exotic Exotic means foreign or out-landish. lace prisms and tegums were formerly called exotics. expand contraction undoes an expand.

24. Places Of Interest In Cork City. alicia boole Stott (1860 1940) mathematician Sir Walter Scott was presentedwith the freedom of Cork in 1825 The city and neighbourhood is to a great http://www.bluedolphin.ie/links/cork_places_interest.html

Blue Dolphin House, Western Road, Cork City Tel: +353 21 4274908 e-mail: info@bluedolphin.ie (webspace) http://www.bluedolphin.ie Places of Interest in Cork City University College Cork (UCC). - One of the Queen's Colleges opened in 1849 by Queen Victoria. It is charmingly situated on a hill overlooking the valley of the Lee, on the site of the ancient Gill Abbey, founded in the 7th century. Lewis Glucksman Gallery - The Lewis Glucksman Gallery is a landmark building that includes display spaces, lecture facilities, a riverside restaurant and gallery shop. St Fin Barre's Cathedral (C of I) - Cork's gem of architecture - dedicated to the founder and patron saint of the City of Cork. Standing where St. Fin barre originally built his church in the 7th century. Nano Nagle's Grave - Foundress of the Sisters of the Presentation of the Blessed Virgin Mary. Cork Public Museum (Cork City Museum) The Museum has a variety of exhibits of general interest. Ogham Stones collection of prehistoric memorial standing stones.

25. Polytope -- Facts, Info, And Encyclopedia Article The term was coined by alicia boole, the daughter of logician (English mathematician;creator of boolean algebra (18151864)) George boole. http://www.absoluteastronomy.com/encyclopedia/p/po/polytope.htm

Polytope [Categories: Polytopes] In (The pure mathematics of points and lines and curves and surfaces) geometry polytope means, first, the generalization to any dimension of (A closed plane figure bounded by straight sides) polygon in two dimensions, and (A solid figure bounded by plane polygons or faces) polyhedron in three dimensions. Beyond that, the term is used for a variety of related mathematical concepts. This is analogous to the way the term square may be used to refer to a square-shaped region of the plane, or just to its boundary, or even to a mere list of its vertices and edges along with some information about the way they are connected. The term was coined by Alicia Boole, the daughter of logician (English mathematician; creator of Boolean algebra (1815-1864)) George Boole The (Any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent) Platonic solid s, or regular polytopes in three dimensions, were a major focus of study of ancient Greek mathematicians (most notably (Greek geometer (3rd century BC)) Euclid's (Violent or severe weather (viewed as caused by the action of the four elements)) Elements ), probably because of their intrinsic aesthetic qualities. In modern times, polytopes and related concepts have found important applications in

26. ZOME CANTELATED 120 CELL it was known to mathematician alicia boole Stot in the. early 1900 s. This isthe first time a model of it. has ever been made so it is a part of math http://www.cornerpockets.com/Zome/zome_cantelated_120_cell.htm

ZOME CANTELATED 120 CELL Dan Duddy, a Zome Master Builder constructs the center core. Helpers from 4-H clubs stopped by to lend a helping hand. The Final Masterpiece. CANTELATED 120-CELL It’s called the Cantellated 120-cell It was named this by mathematician Norman Johnson but it was known to mathematician Alicia Boole Stot in the early 1900's. This is the first time a model of it has ever been made so it is a part of math history. It’s a cousin of the 120-cell a.k.a. the hyperdodecahedron (the 4D analogue of the dodecahedron) Its cells are: 120 rhombicosadodecahedra, 600 octahedra, and 1200 triangular prisms. An important fact about the model we made is that it is merely a projection ( a shadow) of the real cantellated 120-cell, therefore we can't see all of its cells. We only see half of them because the other half is lying right on top of the others. Each cell represents two. This is how many Zome parts you need to build this model: 1860 zomeballs (Nodes) 1080 short reds struts 1080 medium reds struts 1800 medium yellows struts 1380 medium blues struts Total Pieces: 7,200

27. Indice Cron. Delle Donne Matematiche alicia boole Stott (18601940) Ruth Gentry (1862-1917) Winifred EdgertonMerrill (1862-1951) Leona May Peirce (1863-1954) Helen Abbot Merrill (1864-1949) http://143.225.237.3/Matematica e soc/Elenco cronologico.htm

Indice cronologico delle donne matematiche Diciottesimo secolo e ancor prima Theano (5th Century B.C.) Hypatia (370?-415) Elena Lucrezia Cornaro Piscopia (1646-1684) Emilie du Chatelet (1706-1749) Maria Gaetana Agnesi (1718-1799) Caroline Herschel (1750-1848) Sophie Germain (1776-1831) Mary Fairfax Somerville (1780-1872) Diciannovesimo secolo Ada Byron Lovelace (1815-1852) Florence Nightingale (1820-1910) Mary Everest Boole (1832-1916) Susan Jane Cunningham (1842-1921) Elizaveta Fedorovna Litvinova (1845-1919) Christine Ladd- Franklin (1847-1930) Sofia Kovalevskaya (1850-1891) Ellen Amanda Hayes (1851-1930) Hertha Ayrton (1854-1923) Ida Metcalf (1857-1952) Charlotte Angas Scott (1858-1931) Charlotte Barnum(1860-1934) Alicia Boole Stott (1860-1940) Ruth Gentry (1862-1917) Winifred Edgerton Merrill (1862-1951) Leona May Peirce (1863-1954) Helen Abbot Merrill (1864-1949) Clara Eliza Smith (1865-1943) Clara Latimer Bacon (1866-1948) Annie MacKinnon Fitch (1868-1940) Grace Chisholm Young (1868-1944) Isabel Maddison (1869-1950) Mary Frances Winston Newson (1869-1959) Emilie Norton Martin (1869-1936) Agnes Baxter (1870-1917) Virginia Ragsdale (1870-1945) Louise Duffield Cummings (1870-1947) Lao Genevra Simons (1870-1949) Roxana Hayward Vivian (1871-)

28. 43 Femmes Mathématiciennes 217219); HSM Coxeter, alicia boole Stott (18601940) (pp. 220224); Edith H.Luchins, Olga TausskyTodd (1906) (pp. 225235); Guido Weiss, http://www.mjc-andre.org/pages/amej/evenements/cong_02/part_suj/fiches/femmes.ht

43 exemples d'avant 1987 Women of mathematics. Maria Gaetana Agnesi (17181799) Nina Karlovna Bari (19011961) Ruth Aaronson Bari (1917) Dorothy Lewis Bernstein (1914) Gertrude Mary Cox (19001978) Kate Fenchel (19051983) Irmgard Flugge-Lotz (19031974) Hilda Geiringer von Mises (18931973) Sophie Germain (17761831) (pp. 4756) Evelyn Boyd Granville (1924) (pp. 5761) Ellen Amanda Hayes (18511930) Grace Brewster Murray Hopper (1906) Ian Mueller, Hypatia (370?415) Sofja Aleksandrovna Janovskaja (18961966) Carol Karp (19261972) Claribel Kendall (18891965) Pelageya Yakovlevna Polubarinova-Kochina (1899) Sofia Vasilevna Kovalevskaia (18501891) Edna Ernestine Kramer Lassar (19021984) Christine Ladd-Franklin (18471930) Augusta Ada Lovelace (18151852) Sheila Scott Macintyre (19101960) Ada Isabel Maddison (18691950) Helen Abbot Merrill (18641949) Cathleen Synge Morawetz (1923) Hanna Neumann (19141971) Mary Frances Winston Newson (18691959) Emmy Noether (18821935) Rozsa Peter (19051977) Mina Rees (1902) Julia Bowman Robinson (19191985) Charlotte Angas Scott (18581931) Mary Emily Sinclair (18781955) Mary Fairfax Greig Somerville (17801872) Pauline Sperry (18851967) Alicia Boole Stott (18601940) Olga Taussky-Todd (1906) Mary Catherine Bishop Weiss (19301966) Anna Johnson Pell Wheeler (18831966) Grace Chisholm Young (18681944) This book includes essays on 43 women mathematicians, each essay consisting of a biographical sketch, a review/assessment of her work, and a bibliography which usually lists most of her mathematical works, a few works about her, and occasionally a few other references. The essays are arranged alphabetically by the women's best-known professional names. A better arrangement would have been by the periods within which the women worked; an approximation to that can be achieved by using the list in Appendix A of the included women ordered by birthdate. With its many appendices and its two good indexes, the bibliographic structure of this book is excellent. This together with its reviews of the work of many less-known women mathematicians makes it a valuable contribution to the history of mathematics.

29. Outreach Links - Hamilton Mathematics Institute - Trinity College Dublin alicia boole Stott who worked on regular solids in four dimensions. George Salmonworked on what is now called algebraic geometry, he did important http://www.hamilton.tcd.ie/outreach/irishmathematicians.php

Home About HMI HMI Events Contact ... Q and A IRISH MATHEMATICIANS The MacTutor History of Mathematics Archive contains biographies of many mathematicians who were Irish or had links with Ireland. Robert Adrain left Ireland after taking part in the rebellion of 1798 and played an important part in the development of mathematics research and education in the USA. Kathleen McNulty Mauchly Antonelli pioneered automated numerical calculation. John Stewart Bell , Bell's theorem pins down just what is peculiar about quantum mechanics. George Berkeley , an important philosopher, is perhaps best remembered for worrying what happened to a tree when no-one was there to see it. He commented on the logical foundations of Newton's calculus. Robert Boyle of Boyle's Law fame espoused the scientific method and the existence of a vacuum. George Boole began the algebra of logic called Boolean algebra, he also worked on differential equations and on probability. Thomas John l'Anson Bromwich described by Hardy as ".. best pure mathematician among the applied mathematicians at Cambridge, and the best applied mathematician among the pure mathematicians." was Professor of Mathematics in Galway between 1902 and 1907.

30. Ethel Voynich — ‘E. L. V.’ By Pamela Blevins - Feb 2005 MusicWeb-Internationa alicia boole, later Stott, (18601940) inherited her father’s gift for mathematics.Although she had little education and no training in mathematics and http://www.musicweb-international.com/classrev/2005/Feb05/Voynich.htm

Your clickable banner could be here: details If you cannot see an advert click here. MusicWeb is not a subscription site and it is these advertisers that pay for it. Please visit their sites regularly to see if anything might interest you. Purchasing from them keeps MusicWeb free. Classical Editor: Rob Barnett Founder Len Mullenger MusicWeb International is now partnering for World-wide FREE postage on CD purchases and for downloads. Ivor Gurney’s Friends Ethel Voynich — ‘E. L. V.’ Revolutionary, Novelist, Translator, Composer Pamela Blevins An Interrupted Friendship , which he found ‘without form and void, but not uninteresting...’, to The Gadfly , Voynich’s highly successful 1897 suspense novel. ‘...I read it very carefully up to the capture of Felix, and read the rest in 15 minutes. Why ever did she lose grip in that way? Why did - -? Why did - -? Would - - - -? It is the kind of thing one would write in cold gray dawns after a substantial breakfast of cold beef steak pie and porter,’ he wrote to Scott. ‘But it really does strike me as an awfully fine book, in spite of the characters being non-attractive and a little puzzling.’(1)

31. Biographies Of Women Mathematical Scientists And History Of Women In Mathematica Discusses the work of alicia boole Stott. R. Dan and PJ Hilton,Mina Rees.Interview with the first woman president of AAAS. A. Dick,Emmy Noether, 18821935 http://darkwing.uoregon.edu/~wmnmath/Publications/Bibliographies/bio-a.html

Biographies of Women Mathematical Scientists and History of Women in Mathematical Sciences Abstracts Math teacher Delores Wilkins dies at age 61 Delores Wilkins, 61, a mathematics teacher at Langston Hughes Middle School in Reston VA who was a past president of the Reston chapter of the National Council of Negro Women, died May 11, 1995 Schools courting teen math whiz Article on math prodigy Ruth Lawrence. D. J. Albers and C. Reid ,An interview with Mary Ellen Rudin Interview on Mary Ellen Rudin conducted an International Congress of Mathematics in Berkeley, CA in 1986. Many photographs accompany the article. R. C. Archibald ,Women as Mathematicains and Astronomers Includes suggested topics for undergraduate math club programs and brief biographical information. H. Bromberg ,Grace Murray Hopper: A Remembrance Memorium of U.S. Navy Rear Admiral Hopper, who died January 1, 1992 and was co-inventor of the computer language COBOL. L. L. Bucciarelli and N. Dworsky ,Sophie Germain: An Essay in the History of the Theory of Elasticity Sophie Germain (1776-1831) of France worked in both number theory and physics. Her work in physics on the modes of vibration of elastic surfaces won a competition sponsored by the French Academy of Science in 1809.

32. Making Light: Jonathan Vos Post One welldocumented case is alicia boole Stott, niece of THAT boole, who invented alicia boole Stott confirmed his work she could see it was true. http://nielsenhayden.com/makinglight/archives/005278.html

Making Light Incorporating Electrolite Language, fraud, folly, truth, knitting, and growing luminous by eating light. Back to previous post: Taking your own bad advice Go to Making Light's front page. Forward to next post: Harry of Five Points May 20, 2004 Jonathan Vos Post Posted by Teresa at 07:54 AM * 45 comments A distinctive body of comments that really deserve their own thread. Welcome to Making Light's comments section. Moderator: Teresa Nielsen Hayden. Comments on Jonathan Vos Post: tnh/for JVP (view all by) May 30, 2004, 12:13 AM Jonathan Vos Post :: jvospost2@yahoo.com :: URL Posted to Open thread 23 May 21, 2004 1:41:20 AM EDT Comments: Tesseract: synonym for Hypercube. See: Eric W. Weisstein. "Hypercube." From MathWorldA Wolfram Web Resource. Read, see pretty pictures, AND maneuver and rotate a simulated tesseract with the mouse. Watch the perspective shange it in fascinating way. Might give you an aesthetic/kinesthetic appreciation of hypercube/tesseract geometry! Then click from there to: Cross Polytope, Cube, Cube-Connected Cycle, Glome, Hamiltonian Graph, Hypercube Line Picking, Hypersphere, Orthotope, Parallelepiped, Polytope, Simplex, Tesseract and other pages at Eric W. Weisstein's MathWorld... IMHO the best Math Pages on the web.

33. Making Light: Open Thread 14 alicia boole Stott, niece of George boole, was educated to be able to visualize4D and 5-D at least, with special colored toy blocks. http://nielsenhayden.com/makinglight/archives/004313.html

Making Light Incorporating Electrolite Language, fraud, folly, truth, knitting, and growing luminous by eating light. Back to previous post: Christmas, 2003 Go to Making Light's front page. Forward to next post: Anya in re Santa Claus December 24, 2003 Open thread 14 Posted by Teresa at 02:37 PM * 145 comments Swift away the old year passes. Welcome to Making Light's comments section. Moderator: Teresa Nielsen Hayden. Comments on Open thread 14: Kris Hasson-Jones (view all by) December 24, 2003, 02:42 PM May good come to all. catie murphy (view all by) December 24, 2003, 02:55 PM Oh, good, I was hoping for an open thread, because I'd really like to know how people on this comment list read fiction. Last week, a friend said something about the radio drama in her head while she was reading. My husband said, "You only get a radio drama?" and she said, "Oh, no, I get pictures, too." Now, he's said this before, but I always thought he was exaggerating, so it sort of threw me, and I said, "You really see *pictures* while you're reading?" And they both insisted that yes, they did. Rather like being the camera in a movie. I don't *get* pictures in my head when I'm reading. If I think back on a scene, I can see it play out, but it doesn't play out in my head while I'm reading it.

34. Four Dimensional Figures Page Thorold Gosset, and alicia boole Stott—independently and in virtual isolation . EL Elte, and alicia boole Stott, and systematized by HSM Coxeter. http://members.aol.com/Polycell/uniform.html

Uniform Polytopes in Four Dimensions i.e. , Platonic and Archimedean) polychora (that is, four-dimensional polytopes Uniform Polytopes is published by Cambridge University Press, it remains the only place in the world where you can find this information! WARNING You should be fairly well acquainted with the convex uniform polyhedra and their symmetry groups, and somewhat well acquainted with the six convex regular polytopes in four-dimensional space and their or my dinosaur-publications website at Just added November 22, 2004: A website where you can view and even purchase beautiful prints of interesting polychora nets. Go to Nuts About Nets! On May 11, 2002, I added to this website a fairly large Web page (beware: it may take some time to download), a Multidimensional Glossary Above: A three-dimensional section through the Great Prismosaurus [Regarding Jonathan Bowers, from December 12, 1999 through January 2, 2000 I added his alternative names for the convex uniform polychora to the tables. See the Nomenclature section for details. Jonathan now has a

35. Fractal Of The Day (FotD) By Jim Muth As a matter of interest, the word polytope was invented by alicia boole, thedaughter of logician George boole. In 1space and 2-space, an infinity of http://home.att.net/~Fractals_3/FotD_03-01-14.html

Fractal of the Day by Jim Muth FOTD January 14, 2003 (Rating 6) Fractal visionaries and enthusiasts: While at least one member of the Fractint list appears to perhaps be losing a bit of enthusiasm for fractals, there is no danger of a similar fate befalling myself . The only thing I regret is that I lack the time to explore more of the infinitely infinite world of fractals. Perhaps the first sign of impending boredom with fractals is the desire to add multiple layers, as if a single-layer fractal needed something to give it more interest. Then again, perhaps my devotion to single-layer fractals is an individual quirk of mine, caused perhaps by my typical male tendency to concentrate on one task at a time. After all, multiple layers works very well in the case of music, which is candy for the ears; why not in the case of fractals, which are candy for the eyes? I named today's image "Polytope Paradise" . I can give no logical reason why I chose such a name, since a polytope is a geometrical figure, existing in n-dimensional space and enclosed by a finite number of planes or hyperplanes. The strings of bubbles in today's image are enclosed by curved 2-D surfaces rather than planes, and therefore cannot truthfully be considered polytopes.

36. {Science > Polytopes} - Information, Last News And Sites About Polytopes and edges along with some information about the way they are connected.The term was coined by alicia boole, the daughter of logician George boole. http://web.world-of-newave.info/science/math/geometry/polytopes/

Web.World-of-Newave.info Knowledge and Informational Web Directory August 30, 2005, 8:01 pm GMT Search for: Articles and News Images World-of-Newave.info Science Math Geometry Polytopes Newsletter Sign-up to receive daily news on Polytopes by email. Your email: Newave will never sell or share your email address and you can of-course unsubscribe at anytime. Polytopes Topics Higher Dimensional Origami Polyhedra Polyhedra Software ... Earn $500 Shopping Online and get a $50 Gift Card! Browse by Theme Arts Business Computers Games ... Sports Definition: (beta) In geometry polytope means, first, the generalization to any dimension of polygon in two dimensions, and polyhedron in three dimensions. Beyond that, the term is used for a variety of related mathematical concepts. This is analogous to the way the term square may be used to refer to a square-shaped region of the plane, or just to its boundary, or even to a mere list of its vertices and edges along with some information about the way they are connected. The term was coined by Alicia Boole, the daughter of logician George Boole. Polytopes: Sites about Polytopes Geometry new window Astronomy.Swin.Edu.Au

37. This Is A DRAFT. Please Do Not Quote. This is one of many Archimedean polytopes discovered by alicia boole Stott and 31 alicia boole Stott, Geometrical deduction of semiregular from http://www.georgehart.com/hyperspace/hart-120-cell.html

This is a DRAFT, last modified May 3, 2002 forthe journal Hyperspace Please do not quote. Email me with comments and suggestions 4D Polytope Projection Models by 3D Printing George W. Hart Department of Computer Science State University of New York at Stony Brook george@georgehart.com http://www.georgehart.com/ Abstract The author's experience using "3D printing" technology for producing physical models of four-dimensional objects such as the 120-cell is summarized. For background and comparison, previous mathematical models of the 120-cell are reviewed first. 1. Introduction Three-dimensional projections of four-dimensional polytopes are valuable for teaching and self-education about higher-dimensional geometry. Experience shows that physical models—real 3D objects—are especially useful for developing intuition and understanding about 4D polytopes. A variety of physical modeling techniques are possible, with three popular materials being paper (or cardboard), wire (or wire and string), and Zometool (a plastic construction set). This paper illustrates a new 3D-printing technique that I expect will supplant these traditional materials for a wide range of mathematical modeling applications. 3D-printing allows the creation of models that are very compact, intricate, accurate, and portable. This state-of-the-art technology involves the automated (robotic) assembly of physical models by assembling very thin cross-sections calculated from the designer's computer file describing the structure to be built. This new technology will have applications in the creation of all types of educational 3D models, e.g., polyhedra, topological or algebraic surfaces, molecular models, crystal structures, anatomical models, etc. However, this paper focuses on geometric models related to the 120-cell, and its family of truncations and expansions. This example is featured because the author considers it one of the most beautiful geometric objects—yet it is not widely enough known, in part because of the lack of models.

38. The Ambo-600-Cell The mathematical structure was first discovered by alicia boole Stott, anddescribed in her 1910 paper on semiregular polytopes . http://www.georgehart.com/zomebook/expanded-120-cell.html

Additions to Zome Geometry George W. Hart and Henri Picciotto The Expanded 120-Cell Here is a rather large 4D polytope project for brave Zomers with plenty of time and parts. Visualize the 120-cell, then just separate adjacent pairs of dodecahedra with a pentagonal prism. As three dodecahedra surround each edge of the 120-cell, the expanded 120-cell will have three pentagonal prisms surrounding a triangular prism in the corresponding places. The bases of the triangular prisms come together in groups of four, making regular tetrahedra in the places corresponding to the 120-cell's vertices. Every vertex of this expanded 120-cell is identical-the meeting place of one dodecahedron, three pentagonal prisms, three triangular prisms, and a tetrahedron. So it is a uniform polytope. There are two types of edges, those that are dodecahedron edges and those that are tetrahedron edges. Both types of prisms contain both types of edges. Every pentagon is the junction of a dodecahedron and a pentagonal prism; every square is the junction of a pentagonal prism and a triangular prism; every triangle is the junction of a triangular prism and a tetrahedron. The cells immediately surrounding each dodecahedron combine to form a rhombicosidodecahedron, so the structure can also be seen as 120 intersecting rhombicosidodecahedra. Another way to derive it is by expanding the 600-cell. The mathematical structure was first discovered by Alicia Boole Stott, and described in her 1910 paper on "semiregular polytopes". This model was constructed and photographed by Mira Bernstein and Vin de Silva with the help of a crew of eight students at Stanford. They counted that it requires 1260 balls, 960

39. The Science Bookstore - Chronology Scott, alicia boole Born 6/8/1860, 1860 AD. Barnum, Charlotte Born 5/17/1860,1860 AD. Malby, Margaret E. Born 12/10/1860 http://www.thesciencebookstore.com/chron.asp?searchstring=Women

40. The Science Bookstore - Chronology Scott, alicia boole Born 6/8/1860, 1860 AD. 1860 AD, Pony Express. 1860 AD,Bunsen and Kirchoff invent optical spectroscopy, discover two elements. http://www.thesciencebookstore.com/chron.asp?pg=20

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 87    Back | 1  | 2  | 3  | 4  | 5  | Next 20