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Stott Alicia Boole: more detail

A new era of thought by Charles Howard Hinton, Alicia Boole Stott, et all 2010-07-30
On certain series of sections of the regular four-dimensional hypersolids, (Verhandelingen der Koninklijke akademie van wetenschappen te Amsterdam. [Afdeeling ... ennatuurkundige wetenschappen] 1. sectie) by Alicia Boole Stott, 1900
On the sections of a block of eight cells by a space rotating about a plane (Verhandelingen der Koninklijke akademie van wetenschappen te Amsterdam.[Afdeeling ... en natuurkundige wetenschappen] 1.sectie) by Alicia Boole Stott, 1908
Rectification: Polygon, Polyhedro, Polychoron, Apeirohedron, Abstract Polytope, Alicia Boole Stott, Vertex Figure, Platonic Solid

lists with details

Hands-On Math Modules
pdf This file includes a materials list, leader instructions, pictures of polyhedraand applications, a picture of alicia boole stott, and a biography about
http://amanda.serenevy.net/GirlScouts/

Extractions: MathActivitiesReportForm.pdf : This file lists the adapted requirements for the Numbers and Shapes Try-It and the Math Whiz Badge. ChladniLeaderInformation.pdf : This file includes a materials list, leader instructions, pictures of Chladni patterns, a picture of Sophie Germain, and a biography about Sophie Germain. tacoma_narrows.mpg : This is a very short movie clip showing the wild oscillations in the Tacoma Narrows Bridge that occured just before it collapsed. The oscillations were caused by the wind, which was gusty but was not really blowing that hard. The wind ended up pushing the bridge like you might push someone on a swing. Even though the pushes were not very forceful, after many pushes the oscillation was huge! CryptologyLeaderInformation.pdf
< Hardware12v > Diccionario
llamada alicia boole stott es reconocida por su trabajo en el campo de la
http://www.hardware12v.com/diccionario/b.php

Extractions: Prueba que analiza y puntúa el rendimiento de el hardware o software del cual se especializa la prueba. Sirve como referencia para comparar productos dentro del mercado. Se compone de las palabras "bench" y "mark" y su traducción literal es "punto de referencia". Éste tipo de software está muy criticado ya que en realidad no es un exámen exhaustivo de nuestros componentes o programas, es simplemente orientativo, una frase conocida dice: "En la industria de los computadores hay tres tipos de mentiras: mentiras, condenadas mentiras y benchmarks".
The Hamilton Mathematics Institute, TCD
alicia boole stott who worked on regular solids in four dimensions. aliciaboole stott who worked on regular solids in four dimensions.
http://www.hamilton.tcd.ie/outreach/irishmathematicians.php

Extractions: Home About HMI HMI Events Contact ... Q and A 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.
Polytopes
Her name was alicia boole stott. While geometers in the great universities,a century past, were laboring upon the broad outlines
http://home.inreach.com/rtowle/Polytopes/polytope.html

Extractions: Polytope is the general term of the sequence, point, segment, polygon, polyhedron, ... So we learn in H.S.M. Coxeter 's wonderful Regular Polytopes (Dover, 1973). When time permits, I may try to provide a systematic approach to higher space. Dimensional analogy is an important tool, when grappling the mysteries of hypercubes and their ilk. But let's start at the beginning, and to simplify matters, and also bring the focus to bear upon the most interesting ramifications of the subject, let us concern ourselves mostly with regular polytopes. You may wish to explore my links to some rather interesting and wonderful polyhedra and polytopes sites, at the bottom of this page. Check out an animated GIF (108K) of an unusual rhombic spirallohedron. Yes, we shall be speaking of the fourth dimension, and, well, the 17th dimension, or for that matter, the millionth dimension. We refer to Euclidean spaces, which are flat, not curved, although such a space may contain curved objects (like circles, spheres, or hyperspheres, which are not polytopes). We are free to adopt various schemes to coordinatize such a space, so that we can specify any point within the space; but let us rely upon Cartesian coordinates, in which a point in an n -space is defined by an n -tuplet of real numbers. These real numbers specify distances from the origins along
Creating Solid Networks
a 4D polytope consisting of 120 truncated dodecahedra and 600 regular tetrahedra,first described in a 1910 paper written by alicia boole stott (a daughter of
http://arpam.free.fr/hart.htm

Extractions: SOLID-SEGMENT SCULPTURES George W. Hart Abstract 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. 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 shows a 10 cm diameter sculpture titled Deep Structure , consisting of five nested concentric orbs. Each of the five has the same structure as the outer, most visible, orb: there are 30 large 12-sided oval openings, 12 smaller 10-sided openings, 80 irregular hexagonal openings, and 120 small rectangular openings. Oval "corkscrew spirals" in the 12-sided openings connect the layers with each other. The concept is based on familiar concentric ivory spheres which are traditionally turned on a lathe and hand carved, with holes in each layer providing access to the inner layers. However, Figure 1 is created in plaster by an automated 3D printing process, without any human hand. After I design such a sculpture as a computer file, it is fabricated in a machine which scinters, laminates, or solidifies thousands of very thin layers. [2] This piece and the next were printed by Zcorp [16].
George Boole, Meet Bill Gates: A Look At The History Of Computers, And The Role
Riddle, Larry. Biographies of Women Mathematicians alicia boole stott.http//www.scottlan.edu/lriddle/women/stott.htm, 1996. Shasha
http://personal.nbnet.nb.ca/michaels/boole.htm

Extractions: In 1854, Boole published his greatest and most influential work: "An Investigation Into the Laws of Thought, on Which are Founded the Mathematical Theories of Logic and Probabilities." It is here where he brilliantly combined algebra with logic, which is today the foundation of our digital computers. His section on what is now referred to as 'boolean algebra' attempts to prove two propositions: "First, that the operations of the mind, by which, in the exercise of its power of imagination or conception, it combines and modifies the simple ideas of things or qualities, not less than those operations of the reason which are exercised upon truths and propositions, are subject to general laws. Secondly, that those laws are mathematical in their form, and that they are actually developed in the essential laws of human language. Wherefore the laws of the symbols of Logic are deducible from a consideration of the operations of the mind in reasoning."
Regular Convex Polytopes A Short Historical Overview, Regular Polytopes And N-di
Although independently English recreational mathematician alicia boole stott daughterof George boole experimentally found similar results which were published
http://presh.com/hovinga/regularandsemiregularconvexpolytopesashorthistoricalove

Extractions: For those who are unfamiliar with this topic an outline of major discoveries is given below in chronological order: Phytagoras born about 569 BC in Samos, Ionia Greece, died about 475 BC. Although early findings acknowledged by mathematicians and historians date back before the time of Phytagoras like the Babylonians who were aquainted with the famous Pythagoras's theorem c^2=a^2+b^2 as early as 3750 BC, this was not discoverd until 1962. Some of the first basic geometric theorems are credited to Phytagoras. Phytagoras is often called the first pure mathematician; he founded a school "the semicircle" and many pupils elaborated on his findings and thoughts.
Women In Mathematics
alicia boole stott Biography; Cecilia Krieger - Biography; CathleenMorawetz - Biography. Geometrics. Use the Internet information
http://www.sandwich.k12.ma.us/webquest/mathwoman/

Extractions: Sandwich Public Schools Introduction The Task HyperText Dictionary Have you ever heard of Hypatia or Agnesi. Odds are you haven't. Hypatia was stoned to death for her beliefs and when Agnesi had her book translated her theory was known as 'the witch of Agnesi'. These two women along with many more have made substantial contributions to the area of mathematics. The Association for Women in Mathematics has asked that a team be put together to enlighten the world to these important mathematicians. Individually you will become an expert on 1 mathematician. You will use your information to create a short biography. As a team you will use your individual research to create a timeline to show that women have been engaged in math for thousands of years. Then as a class you will create an all inclusive timeline. Using infromation you have gathered you will also use a world map to pinpoint the place of birth of your mathematician. In this WebQuest you will be working together with a group of students in class. Each group will answer the Task or Quest(ion). As a member of the group you will explore Webpages from people all over the world who care about Women in Mathematics. Because these are real Webpages we're tapping into, not things made just for schools, the reading level might challenge you. Feel free to use the online Webster dictionary or one in your classroom.
43 Femmes Mathématiciennes
18581931) Mary Emily Sinclair (18781955) Mary Fairfax Greig Somerville (17801872)Pauline Sperry (18851967) alicia boole stott (18601940) Olga Taussky
http://www.mjc-andre.org/pages/amej/evenements/cong_02/part_suj/fiches/femmes.ht

Extractions: 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.
Lebensdaten Von Mathematikern
Translate this page 1692 - 1770) Stokes, Sir George Gabriel (1819 - 1903) Stolz, Otto (1842 - 1905)Stone, Marshall (1903 - 1989) stott, alicia boole (1860 - 1940) Strabo (63 v
http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html

Extractions: Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
Russell Towle's 4D Star Polytope Animations
Even when a person is blessed with some extraordinary faculty for visualizing objectsin higher spaceas was alicia boole stott, a century agoit is a matter
http://dogfeathers.com/towle/star.html

Extractions: Russell Towle's 4D Star Polytope Animations You need the QuickTime player for these animations. For Win95 users, I recommend that you DO NOT install QuickTime as a browser plug-in. When I installed it as a plug-in, it clobbered my MS Internet Explorer 4.0. Bytes Contains: Screen Shot Download (USA) Download (Japan) (click) 3-3-52v.zip 3-3-52v.zip (click) ... 52-3-5v.zip Japan web host space provided by Junichi Yananose These may be the first animations ever made of the solid sections of four-dimensional star polytopes. To get a better idea of just what these "polytopes" are, one should read H.S.M. Coxeter's "Regular Polytopes" . Briefly, plane polygons are two-dimensional polytopes, and polyhedra, three-dimensional polytopes. Where polygons are bounded by line segments, and polyhedra by polygons, a 4-polytope is bounded by polyhedra. Just as we may have any number of planes in three dimensions, in 4-space we may have any number of 3-spaces. Two 3-spaces might be a millionth of an inch apart and yet have no common point (thus the popular idea of parallel universes). It follows that, given a fixed direction in the 4-space, we can take solid sections of objects in the 4-space, perpendicular to that direction. If you find these concepts difficult, you are not alone. Even when a person is blessed with some extraordinary faculty for visualizing objects in higher spaceas was Alicia Boole Stott, a century agoit is a matter of years, and considerable patience, before much progress is made in the subject.
Zonish Polyhedra
As a consequence they are also equivalent to alicia boole stott s method 2 4of expansion of the seed polyhedron (or their dual rhombic polyhedra).
http://www.georgehart.com/zonish/zonish.html

Extractions: The following is a webified version of: George W. Hart, "Zonish Polyhedra," Proceedings of Mathematics and Design '98 San Sebastian, Spain, June 1-4, 1998, p. 653. A previously unexamined class of geometric forms is presented which provides a rich storehouse of interesting designs and structures, e.g., for sculpture. They can be called "zonish polyhedra" because they have "zones" and include zonohedra as a special case, but generally are not zonohedra. A zonish polyhedron is the Minkowski sum of a "seed" polyhedron and a set of line segments. Unlike zonohedra, these polyhedra may be chiral and may have faces with an odd number of sides, e.g., triangles and pentagons. This paper presents a class of polyhedra which I do not believe has been examined before. They provide a rich source of interesting designs and structures, and are relatively easy to construct or to generate by a simple algorithm. For lack of a better term, my working name is "zonish" because these have zones, and include zonohedra as a special case, but generally are not zonohedra. Suggestions for a better term are welcome. Fig. 1a. Zonish polyhedron based on icosidodecahedron, with six zones.
The Ambo-600-Cell
The mathematical structure was first discovered by alicia boole stott,and described in her 1910 paper on semiregular polytopes .
http://www.georgehart.com/zomebook/expanded-120-cell.html

Extractions: 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
Biographies Of Women Mathematical Scientists And History Of Women In Mathematica
HSM Coxeter,Regular Polytopes Discusses the work of alicia boole stott. R. Danand PJ Hilton,Mina Rees Interview with the first woman president of AAAS.
http://darkwing.uoregon.edu/~wmnmath/Publications/Bibliographies/bio-a.html

Extractions: Abstracts Math teacher Delores Wilkins dies at age 61 Schools courting teen math whiz D. J. Albers and C. Reid ,An interview with Mary Ellen Rudin R. C. Archibald ,Women as Mathematicains and Astronomers H. Bromberg ,Grace Murray Hopper: A Remembrance 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.
Women In Math: Biographies
Mary Fairfax (17801872) Sperry, Pauline (1885-1967) Srinivasan, Bhama (1935 - )Srinivasan, Bhama (1935- ) Stanley, Ann stott, alicia boole (1860-1940) Swain
http://darkwing.uoregon.edu/~wmnmath/People/Biographies/S.html
Universal Book Of Mathematics: List Of Entries
problem bistromathics bit blackjack Blanches dissection Bólyai, János (18021860)book-stacking problem boole (stott), alicia (1860-1940) boole, George
http://www.daviddarling.info/works/Mathematics/mathematics_entries.html
Universal Book Of Mathematics: List Of Entries
boole (stott), alicia (18601940). The third daughter of George boole and an importantmathematician in her own right. See also boole (stott), alicia. ~ ~ ~.
http://www.daviddarling.info/works/Mathematics/mathematics_samples.html

Extractions: Alhambra The former palace and citadel of the Moorish kings of Granada, and perhaps the greatest monument to Islamic mathematical art on Earth. Because the Qur'an considers the depiction of living beings in religious settings blasphemous, Islamic artists created intricate patterns to symbolize the wonders of creation: the repetitive nature of these complex geometric designs suggested the limitless power of God. The sprawling citadel, looming high above the Andalusian plain, boasts a remarkable array of mosaics with tiles arranged in intricate patterns. The Alhambra tiling Escher , who came here in 1936. Subsequently, Escher's art took on a much more mathematical nature and over the next six years he produced 43 colored drawings of periodic tilings with a wide variety of symmetry types. Banach-Tarski paradox There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy.
Indice Cron. Delle Donne Matematiche
Charlotte Barnum(18601934) alicia boole stott (1860-1940) Ruth Gentry (1862-1917)Winifred Edgerton Merrill (1862-1951) Leona May Peirce (1863-1954) Helen
http://143.225.237.3/Matematica e soc/Elenco cronologico.htm
1860 - Vikipeedia
25. mai James McKeen Cattell, USA psühholoog (suri 1944); 29. mai Isaac Albéniz,hispaania helilooja (suri 1909); 8. juuni alicia boole stott; 22.
http://et.wikipedia.org/wiki/1860

Extractions: Vabast ents¼klopeediast Vikipeedia. 1860. aasta Sajandid 18. sajand 19. sajand 20. sajand ... 1910. aastad Aastad: Sisukord 1 S¼ndmused maailmas 2 S¼ndinud 3 Surnud 4 S¼ndmused Eestis ... redigeeri redigeeri 1. jaanuar George Washington Carver USA botaanik (suri 11. jaanuar Marie Bashkirtseff , kunstnik 25. jaanuar Charles Curtis USA asepresident (suri 29. jaanuar William Jacob Baer USA maalikunstnik (suri 29. jaanuar Anton TÅ¡ehhov , vene kirjanik (suri 20. veebruar Mathias Lerch , tÅ¡ehhi matemaatik (suri 29. veebruar Herman Hollerith perfokaartide leiutaja (suri 1929) 13. m¤rts Hugo Wolf austria helilooja (suri 15. m¤rts Walter Frank Raphael Weldon , briti zooloog, biomeetria rajaja (suri 19. m¤rts William Jennings Bryan USA poliitik (suri 2. mai D'Arcy Thompson biomatemaatika rajaja (suri 3. mai Vito Volterra itaalia matemaatik ja matemaatiline bioloogia (suri 9. mai J. M. Barrie , Å¡oti kirjanik (suri 25. mai James McKeen Cattell USA ps¼hholoog (suri 29. mai
GEMATRIA Supplement II
The first application of the method is credited to Mrs. alicia boole stott, andit is elaborated by Hinton, who shews that a fourdimensional figure is
http://www.odeion.org/gematria/gemsup-ii.html

Extractions: (EXPLANATORY OF CHAP. I.) Mere words of natural significance fail to interpret spiritual ideas unless a figurative meaning can be added to them. By type and symbol alone can the essence of Truth be conveyed. In myth and parable the poet, prophet and religious teacher in all time present to us the realisations of their spiritual sense. And not in the imagery of words alone, but in architecture, and its allied arts, some of the most sublime of human conceptions have been conveyed. Architecture has been the interpreter to man of the Universal Truths, those which express the Mind and Works of the Creator, for Architecture is the witness to the Formative principles which underlie Nature, and speaks of the Immutable Foundations. And these are expressed in the symmetry of geometric forms, co-related by Measure and Number. Thus Architecture constitutes a higher language adapted to sacred uses. Now in the Greek Gematria we have what may be termed the Architecture of Language , for the Gematria unites both elements, both modes of expression, and in a wonderful accord, since words are therein related in their sense to Number, by their Number to Geometry, and by their Geometry again to Building.

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