DOCSLIB.ORG

What If a Museum of History Added a Mathematical Exhibit to the Experience Equation?

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

Gain perspective. Get inspired. Make history. THE HENRY FORD MAGAZINE - MARCH-MAY 2017 | FLATLAND | MATH IN POP CULTURE | LIVE-CODING MUSIC | INSIDE THE HENRY FORD THE HENRY MUSIC | INSIDE | LIVE-CODING IN POP CULTURE | MATH | FLATLAND 2017 - MARCH-MAY MAGAZINE FORD THE HENRY MAGAZINE MARCH-MAY 2017 THE MATH ISSUE PAGE 48 What if a museum of history added a mathematical exhibit to the experience equation? WRITING CODE THAT CREATES MUSIC HOW MATH SLIPS INTO THE MAINSTREAM MODERN-DAY MAKEOVER OF A MATH BOOK SOMETIMES, OUR HIGHEST HEIGHTS HAPPEN LONG BEFORE TAKEOFF. Official Airline of The Henry Ford. There's a difference between being in a community and being part of it. Citizens Bank is pleased to support The Henry Ford and its mission to inspire people to learn from America's traditions of ingenuity, resourcefulness and innovation to help shape a better future. Member FDIC. Citizens Bank is a brand name of Citizens Bank, N.A. and Citizens Bank of Pennsylvania. 729656 LEARN TO CUT A CAKE MATHEMATICALLY. SEE PAGE 22 2 MARCH-MAY 2017 MAGAZINE MARCH-MAY 2017 Contents DEPARTMENTS FEATURES Our Mission 4 Behind the Scenes 5 18 Letter from the President 6 MATH GONE VIRAL A Number or Two 8 Why numbers, shapes, Ask + Answer 9 equations, graphs, Off the Shelf 10 probabilities and Social Snippets 12 Pythagorean problems A Look Back 80 are having a pop culture moment INNOVATION 28 MATH, MUSIC + NATION 13 THE MATRIX Live coders are in tune with the mathematical INSIDE makeup of song THE 38 HENRY MATH BOOK FORD REIMAGINED Henry Ford Museum of American Innovation 48 Iconic text loved by Greenfield Village 50 mathematicians for Ford Rouge Factory Tour 52 more than a century Acquisitions + Collections 54 gets a designer reboot 2017 Events 56 Connect 3 60 STAY, EXPLORE + SAVOR 61 ON THE COVER With an eye to the peephole of the Conic Sections interactive, a world of surfaces and curves formed by tightly stretched strings comes into startling view. Charles and Ray Eames’ groundbreaking Mathematica exhibition opens in Henry Ford Museum of American Innovation this fall. PHOTO BY BILL BOWEN thehenryford.org 3 OUR MISSION Who We Are and What We Do TO MAKE A DONATION Jeff Dunlap, 313.982.6167 Gain perspective. [email protected] thehenryford.org/support TO MAKE A LEGACY GIFT Spence Medford, Get inspired. 313.982.6016 [email protected] thehenryfordlegacy.org Chairman of the Board ADVERTISING INFORMATION Make history. S. Evan Weiner Cyndi Schutter, 313.982.6158 [email protected] Vice Chairman THE HENRY FORD: A NATIONAL TREASURE AND CULTURAL RESOURCE Gerard M. Anderson MEMBERSHIP INFORMATION The Henry Ford Call Center The Henry Ford in Dearborn, Michigan, is an internationally recognized cultural Vice Chairman Sheila Ford Hamp 313.982.6001 destination that brings the past forward by immersing visitors in the stories of GENERAL INQUIRIES AND ingenuity, resourcefulness and innovation that helped shape America. President and Secretary GROUP RESERVATIONS A National Historic Landmark with an unparalleled collection of artifacts Patricia E. Mooradian The Henry Ford Call Center from 300 years of American history, The Henry Ford is a force for sparking 313.982.6001 Treasurer curiosity and inspiring tomorrow’s innovators. More than 1.7 million visitors Lisa A. Payne RESEARCH INQUIRIES annually experience its four venues: Henry Ford Museum of American Innovation,™ 313.982.6020 Greenfield Village,® Ford Rouge Factory Tour and the Benson Ford Research Board of Trustees research.center@thehenry Lynn Ford Alandt Center.® A continually expanding array of content available online provides ford.org Paul R. Dimond anytime, anywhere access to The Henry Ford Archive of American Innovation.® Edsel B. Ford II SUBSCRIPTION The Henry Ford is also home to Henry Ford Academy,® a public charter high Henry Ford III INFORMATION school that educates 485 students a year on the institution’s campus. William Clay Ford, Jr. The Henry Ford Call Center In 2014, The Henry Ford premiered its first-ever national television series, George F. Francis III 313.982.6001 or visit The Henry Ford’s Innovation Nation, showcasing present-day change makers Ralph J. Gerson thehenryford.org/contactus Christopher F. Hamp and The Henry Ford’s artifacts and unique guest experiences. Hosted by news Subscription to this Steven K. Hamp correspondent and humorist Mo Rocca, this weekly half-hour show won Emmy® magazine is just one of John W. Ingle III the many benefits of being Awards its first two seasons on the air. It airs Saturday mornings on CBS. Elizabeth Ford Kontulis a member. Magazine-only For more information, please visit thehenryford.org. Richard A. Manoogian Bruce Meyer subscriptions not available. Mark L. Reuss Hau Thai-Tang DESIGN, PRODUCTION AND Alessandro F. Uzielli EDITORIAL SERVICES Amb. Ronald N. Weiser 248.399.1322 The Henry Ford Magazine [email protected] is published twice a year Jennifer LaForce, Editor by The Henry Ford, 20900 Help us inspire Bill Bowen, Creative Director Oakwood Blvd., Dearborn, Julie Friedman, Art Director future change makers MI 48124. Copyright 2017. All rights reserved. Kathy O’Gorman, Copy Editor The Henry Ford inspires dreamers, doers, movers and makers Reproduction in whole or in part without written with stories of the greatest breakthroughs and inventions permission is prohibited. throughout history. Your support goes a long way toward unleashing The Henry Ford Archive of American Innovation and making our collections available to the world. The Henry Ford is an independent nonprofit organization. We depend on ticket purchases, income from our stores and restaurants, and tax-deductible contributions and memberships for support. To learn how your generosity can help take it forward, visit thehenryford.org/support. 4 MARCH-MAY 2017 thehenryford.org PB Notable Colleagues and Correspondents BEHIND THE SCENES WHAT IS YOUR FAVORITE NUMBER? Our contributors tell us. JING WEI ALLEN SALKIN ENISAURUS JASON KEHE SARAH JONES 8. It’s the luckiest 6. Birth year is ’66. Ø. When someone asks 12. The great Quincy 17. When I was a kid, number in Chinese Birthday is April 2: 4+2 me what my favorite Jones once told me, I thought liking the culture. I’m a bit super- = 6. Mother’s birthday is number is, I always “You know, there are number 17 made me stitious, so I’m always 4/2/42 (yes, same day, think the same thing: only 12 notes!” That different. Turns out looking for 8’s in my different year) — again, why was my attention perfectly encapsulates it’s pretty significant, life (dates, hotel rooms, 4+2 and 4+2 is how I never caught for any the foundation — and mathematically and passcodes, etc.). Aside see it. I always bet on particular number? limitless potential — culturally. And that’s from that, it’s just a very sixes. Mark of the beast? Maybe it’s because I of Western music. now how I view myself. pleasing and satisfying Whatever. was always totally awful Jason Kehe is an number to look at! with math at school, a Musician and journalist Allen Salkin is a world- associate editor at complete disaster, and Sarah Jones has Jing Wei is a Chinese- renowned trend writer, Wired, where he covers that bad relationship chronicled the creative born, California-raised author, filmmaker and books, art and robots. built a barrier between and technical forces illustrator who enjoys journalist. He reads science us. But if I had to choose shaping the music doing a lot of things fiction and fantasy Math Gone Viral, Page 18 one, it would be 8, the industry for the past 20 at the same time. She almost exclusively. infinity number. years. She’s the editor regularly freelances of Electronic Musician, a Math Book Reimagined, for clients such as Enisaurus (Santiago magazine for musicians. Page 38 Target, Herman Miller, Usano) is a full-time MailChimp, Adobe and freelance commercial Math, Music + The Matrix, The New York Times. illustrator with a back- Page 28 When she’s not in the ground in graphic design studio, she works as the living and working in illustration director for London. His work is a Etsy, where she helps mashup of geometry, develop the brand voice textures, bold strokes and vision. And when and intense colors. He she’s not doing either develops commercial, of those things, she’s advertising and editorial teaching publications illustration projects for at Pratt Institute. In her clients such as Seattle spare time, she is a fan of Met magazine, TEDx swimming, traveling and and BMW. having people pronounce Math Gone Viral, Page 18 her name correctly. Ask + Answer, Page 9 STAY CONNECTED WITH THE HENRY FORD. visit thehenryford.org PB JANUARY-MAY 2016 thehenryford.org 5 LETTER FROM THE PRESIDENT Casual Thoughts and Serious Correspondence You may have heard that we changed the name of Henry Ford Museum to Henry Ford Museum of American Innovation. While the name of the overall destination remains it for its new permanent spot in the museum. The Henry Ford, extending Henry Ford Museum’s When finished this fall, the exhibition will activate name to include the word “innovation” better serves people’s imaginations and engage them in the our visitors not only in this community but across potential playfulness of math. the country and around the globe, as it effectively With Mathematica taking up residence at conveys the core idea that threads through the The Henry Ford, it seemed like an obvious choice museum’s key collections — innovation. The museum to dedicate this issue of The Henry Ford Magazine has always been about ideas and innovations that to stories with mathematical undertones. Read changed the world. Its name now directly reflects about one man’s passionate journey to reprint, its focus.
Recommended publications
  • World's Most Influential Electronic Artists Trust Avid Live Sound Systems at Moogfest

    World's Most Influential Electronic Artists Trust Avid Live Sound Systems at Moogfest

    April 30, 2014 World's Most Influential Electronic Artists Trust Avid Live Sound Systems at Moogfest Industry's Most Popular Touring Systems Deliver Power and Reliability to Help Main Stage Artists Including Kraftwerk and Chic Featuring Nile Rodgers Connect With Audiences Like Never Before BURLINGTON, Mass., April 30, 2014 (GLOBE NEWSWIRE) -- Avid® (OTC:AVID) today announced that its live sound systems were selected to record and mix headline performances at Moogfest, an annual five-day technology, art and music festival featuring some of the world's most influential electronic artists. Moogfest, which celebrates the visionary and creative spirit of Bob Moog, inventor of the Moog synthesizer and founding father of electronic music, took place on April 23-27 in Asheville, North Carolina. For the main stage, which hosted headline acts including electronic music legends Kraftwerk, Chic featuring Nile Rodgers, and M.I.A., Moogfest needed a powerful and reliable front of house console that could cope with the size, scope and complexity of the headliners' live sound requirements. As the headline artists' live system of choice, the Avid Profile System was the house console for the main stage, while the ultra- compact Avid S3L System was the main stage recording console. Every stage throughout the festival used Avid Pro Tools® audio production software to record the live music performances. Pro Tools is a flagship application of the Avid Artist Suite of content creation applications, powered by the Avid MediaCentral Platform. "Avid live sound systems deliver performance and reliability and are the standard for headline acts," said KamranV, Moogfest documentation producer and CEO of CyKiK.
  • Challenge Detroit Is Back, Partnering with Culture Source, for Our Second to Last Challenge

    Challenge Detroit Is Back, Partnering with Culture Source, for Our Second to Last Challenge

    Challenge Detroit is back, partnering with Culture Source, for our second to last challenge. Culture Source advocates and supports many of the great arts and culture nonprofits located Southeast Michigan. There are roughly 120 nonprofit members of Culture Source, ranging from the Henry Ford to MOCAD to Pewabic Pottery. Our challenge will enhance their new marketing and fundraising campaign, which launches in 2014. The Fellows will - BLAST provide data and ideas to help market the campaign towards young creative adults who live in Detroit and Southeast Michigan. We will uncover what young creative adults see as challenges when attending cultural engagements and if these barriers prevent them from attending other events. Similarly, the Fellows will find young creative adult’s motivation for getting involved in cultural activities and what can currently be tweaked to make cultural events more enjoyable. Spotlight: Sarah Grieb If you are interested in learning more about Culture Source, please checkout their website. You may want to take advantage of the Charitable Volunteer Program and participate in an event with others at Billhighway. Also, check out the Challenge Detroit Fellows via their weekly spotlights. You can find more videos and older spotlights here at the Challenge Detroit Youtube page. -Isaac Light Up the Riverfront Livernois Corridor Soup Women 2.0 Founder Friday Orion Festival Motor City Pride Walk Fashion Show Thursday, June 6th 6-10pm Thursday, June 6th 6-9pm Friday, June 7th 6-9pm June 8th-9th June 8th-9th Saturday, June 8th 7:30-11pm Indian Village Detroit Youth Soup Detroit FC Slow Roll Home & Garden Tour Sunday, June 9th 4-7pm Sunday, June 9th 1-4pm Monday, June 10th 7-10pm Saturday, June 8th 10am-5pm Edition: 6/5/13 - 6/12/13.
  • JC Annual Report 2019

    JC Annual Report 2019

    Annual Report 2018 Commitment TO Community CORE VALUES INTEGRITY doing what is right, no matter what the situation. ACCOUNTABILITY taking responsibility for your actions. DIVERSITY celebrating and embracing everyone’s uniqueness. INNOVATION MISSION VISION exploring creative To provide expert, We dream of a day when solutions for the greatest comprehensive services in all children and adults good. southeastern Michigan that are safe and have loving, HOPE strengthen children, adults strong families with the believing people can and families impacted by community support they change and grow. abuse and neglect, autism, need to make a unique developmental disabilities, contribution to the world. QUALITY and mental health challenges a commitment to so they are successful in their continuous improvement communities. for excellence. 2 Judson Center | 2018 Annual Report Our Commitment to Community In 2018, Judson Center celebrated our 94th year helping those in need succeed. A huge accomplishment that had a very simple beginning with one goal in mind, to help children live in a safe and nurturing home – The Detroit Children’s Baptist Home. During the early part of the century, children of all ages stayed in our care for many reasons including abuse, neglect, poverty, and from there, the Judson Center tradition of helping children, adults and families live healthy and successful lives began. During the past nine decades, Judson Center evolved, never forgetting our roots. When there was a need, we have been there and so has our dedicated board, leadership, staff, donors and partners. Our longevity and ability to grow is all due to the generous support we receive, and we are full of gratitude as 2018 was another successful year for Judson Center.
  • On Dynamical Gaskets Generated by Rational Maps, Kleinian Groups, and Schwarz Reflections

    On Dynamical Gaskets Generated by Rational Maps, Kleinian Groups, and Schwarz Reflections

    ON DYNAMICAL GASKETS GENERATED BY RATIONAL MAPS, KLEINIAN GROUPS, AND SCHWARZ REFLECTIONS RUSSELL LODGE, MIKHAIL LYUBICH, SERGEI MERENKOV, AND SABYASACHI MUKHERJEE Abstract. According to the Circle Packing Theorem, any triangulation of the Riemann sphere can be realized as a nerve of a circle packing. Reflections in the dual circles generate a Kleinian group H whose limit set is an Apollonian- like gasket ΛH . We design a surgery that relates H to a rational map g whose Julia set Jg is (non-quasiconformally) homeomorphic to ΛH . We show for a large class of triangulations, however, the groups of quasisymmetries of ΛH and Jg are isomorphic and coincide with the corresponding groups of self- homeomorphisms. Moreover, in the case of H, this group is equal to the group of M¨obiussymmetries of ΛH , which is the semi-direct product of H itself and the group of M¨obiussymmetries of the underlying circle packing. In the case of the tetrahedral triangulation (when ΛH is the classical Apollonian gasket), we give a piecewise affine model for the above actions which is quasiconformally equivalent to g and produces H by a David surgery. We also construct a mating between the group and the map coexisting in the same dynamical plane and show that it can be generated by Schwarz reflections in the deltoid and the inscribed circle. Contents 1. Introduction 2 2. Round Gaskets from Triangulations 4 3. Round Gasket Symmetries 6 4. Nielsen Maps Induced by Reflection Groups 12 5. Topological Surgery: From Nielsen Map to a Branched Covering 16 6. Gasket Julia Sets 18 arXiv:1912.13438v1 [math.DS] 31 Dec 2019 7.
  • 2004 Annual Report in PDF Format

    2004 Annual Report in PDF Format

    “Coming together is a beginning. Keeping together is progress. Working together is success.” Henry Ford A Welcome from the Chairman and the President Where do great ideas come from? Who will plant the seeds of inspiration for gen- erations to come? How can we ensure a better tomorrow? Who will be the next Edison or Einstein, the next John F. Kennedy or Rosa Parks? Who will be the next ordinary person with an idea that changes the world? The Inspiration Project: The Campaign to Transform The Henry Ford rises to answer these important questions. On October 21, 2004, this bold initiative was presented to 250 community lead- ers who gathered to commemorate The Henry Ford’s landmark 75th anniversary and the many extraordinary moments in its history that have inspired generations.They also learned about the host of endeavors that are carrying us toward an even brighter future with new and revitalized exhibits and galleries, improved services and facilities, and robust new programming. The Inspiration Project is helping us secure the funds necessary to develop these expe- riences.The scope of investors in this effort is truly inspiring. By the end of 2004, we accomplished 75 percent of our strategic plan goals and raised more than 75 percent of the campaign’s $155 million goal—a fitting accomplishment for our 75th anniversary. We thank our investors and join them in inviting everyone who believes in the value of this institution to make a contribution to the Inspiration Project. Dollars invested wisely today will be an inspiration to the ordinary visitors who may someday transform all of our daily lives into extraordinary ones.
  • African American Brochure

    African American Brochure

    2004 Legacyof the NorthernStar Metro Detroit’s guide to African-American cultural attractions and points of interest Legacyof the NorthernStar Reasons to visit: The center focuses on Museums/ ancient African history dating as far back as 3 million years. Displays include animated robotic figures and Cultural videos that help educate visitors on the many civ- ilizations that originated on the continent. Attractions Location: 21511 W. McNichols, Detroit Mon.-Fri. 8 a.m.-3 p.m. Charles H. Wright Museum (313) 494-7452 or of African American History www.detpub.k12.mi.us/schools/AHCC/ You won’t find a bigger monument to African- The Burton Historical American history anywhere else in the world. Besides three exhibition galleries, the museum Collection/E. Azalia Hackley also houses a theater, a café and a gift store. Memorial Collection Reasons to visit: The Charles H. Wright The Detroit Public Library’s main branch Museum is the largest museum of African houses two of the country’s most extensive American history in the world. African-American historical collections. Before you enter through the brass doors take Reasons to visit: The Hackley Collection is a moment to admire the architecture which is an North America’s oldest source of historical infor- attraction of its own. mation on the careers of African Americans in Inside, the museum’s core exhibition takes the performing arts. This collection features rare visitors from the origins of African culture photographs and books, manuscripts, sheet through the horrors of the Middle Passage and music and memorabilia dating back to the mid- on to the modern day accomplishments and 19th century.
  • To See the 2018 Pier Concert Preview Guide

    To See the 2018 Pier Concert Preview Guide

    2 TWILIGHTSANTAMONICA.ORG REASON 1 #1 in Transfers for 27 Years APPLY AT SMC.EDU SANTA MONICA COMMUNITY COLLEGE DISTRICT BOARD OF TRUSTEES Barry A. Snell, Chair; Dr. Margaret Quiñones-Perez, Vice Chair; Dr. Susan Aminoff; Dr. Nancy Greenstein; Dr. Louise Jaffe; Rob Rader; Dr. Andrew Walzer; Alexandria Boyd, Student Trustee; Dr. Kathryn E. Jeffery, Superintendent/President Santa Monica College | 1900 Pico Boulevard | Santa Monica, CA 90405 | smc.edu TWILIGHTSANTAMONICA.ORG 3 2018 TWILIGHT ON THE PIER SCHEDULE SEPT 05 LATIN WAVE ORQUESTA AKOKÁN Jarina De Marco Quitapenas Sister Mantos SEPT 12 AUSTRALIA ROCKS THE PIER BETTY WHO Touch Sensitive CXLOE TWILIGHT ON THE PIER Death Bells SEPT 19 WELCOMES THE WORLD ISLAND VIBES f you close your eyes, inhale the ocean Instagram feeds, and serves as a backdrop Because the event is limited to the land- JUDY MOWATT Ibreeze and listen, you’ll hear music in in Hollywood blockbusters. mark, police can better control crowds and Bokanté every moment on the Santa Monica Pier. By the end of last year, the concerts had for the first time check bags. Fans will still be There’s the percussion of rubber tires reached a turning point. City leaders grappled allowed to bring their own picnics and Twilight Steel Drums rolling over knotted wood slats, the plinking with an event that had become too popular for water bottles for the event. DJ Danny Holloway of plastic balls bouncing in the arcade and its own good. Police worried they couldn’t The themes include Latin Wave, Australia the song of seagulls signaling supper.
  • SPATIAL STATISTICS of APOLLONIAN GASKETS 1. Introduction Apollonian Gaskets, Named After the Ancient Greek Mathematician, Apollo

    SPATIAL STATISTICS of APOLLONIAN GASKETS 1. Introduction Apollonian Gaskets, Named After the Ancient Greek Mathematician, Apollo

    SPATIAL STATISTICS OF APOLLONIAN GASKETS WEIRU CHEN, MO JIAO, CALVIN KESSLER, AMITA MALIK, AND XIN ZHANG Abstract. Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the nearest neighbor spacing, pair correlation, and electrostatic energy of centers of circles from Apol- lonian gaskets. Even though the centers of these circles are not uniformly distributed in any `ambient' space, after proper normalization, all these statistics seem to exhibit some interesting limiting behaviors. 1. introduction Apollonian gaskets, named after the ancient Greek mathematician, Apollonius of Perga (200 BC), are fractal sets obtained by starting from three mutually tangent circles and iter- atively inscribing new circles in the curvilinear triangular gaps. Over the last decade, there has been a resurgent interest in the study of Apollonian gaskets. Due to its rich mathematical structure, this topic has attracted attention of experts from various fields including number theory, homogeneous dynamics, group theory, and as a consequent, significant results have been obtained. Figure 1. Construction of an Apollonian gasket For example, it has been known since Soddy [23] that there exist Apollonian gaskets with all circles having integer curvatures (reciprocal of radii). This is due to the fact that the curvatures from any four mutually tangent circles satisfy a quadratic equation (see Figure 2). Inspired by [12], [10], and [7], Bourgain and Kontorovich used the circle method to prove a fascinating result that for any primitive integral (integer curvatures with gcd 1) Apollonian gasket, almost every integer in certain congruence classes modulo 24 is a curvature of some circle in the gasket.
  • Geometry and Arithmetic of Crystallographic Sphere Packings

    Geometry and Arithmetic of Crystallographic Sphere Packings

    Geometry and arithmetic of crystallographic sphere packings Alex Kontorovicha,b,1 and Kei Nakamuraa aDepartment of Mathematics, Rutgers University, New Brunswick, NJ 08854; and bSchool of Mathematics, Institute for Advanced Study, Princeton, NJ 08540 Edited by Kenneth A. Ribet, University of California, Berkeley, CA, and approved November 21, 2018 (received for review December 12, 2017) We introduce the notion of a “crystallographic sphere packing,” argument leading to Theorem 3 comes from constructing circle defined to be one whose limit set is that of a geometrically packings “modeled on” combinatorial types of convex polyhedra, finite hyperbolic reflection group in one higher dimension. We as follows. exhibit an infinite family of conformally inequivalent crystallo- graphic packings with all radii being reciprocals of integers. We (~): Polyhedral Packings then prove a result in the opposite direction: the “superintegral” Let Π be the combinatorial type of a convex polyhedron. Equiv- ones exist only in finitely many “commensurability classes,” all in, alently, Π is a 3-connectedz planar graph. A version of the at most, 20 dimensions. Koebe–Andreev–Thurston Theorem§ says that there exists a 3 geometrization of Π (that is, a realization of its vertices in R with sphere packings j crystallographic j arithmetic j polyhedra j straight lines as edges and faces contained in Euclidean planes) Coxeter diagrams having a midsphere (meaning, a sphere tangent to all edges). This midsphere is then also simultaneously a midsphere for the he goal of this program is to understand the basic “nature” of dual polyhedron Πb. Fig. 2A shows the case of a cuboctahedron Tthe classical Apollonian gasket.
  • How the Henry Ford Complex Manages Over 1,000 Shifts Daily

    How the Henry Ford Complex Manages Over 1,000 Shifts Daily

    The Henry Ford CASE STUDY How The Henry Ford Complex Manages Over 1,000 Shifts CLIENT The Henry Ford Daily with Just 3 People LOCATION On a sprawling 92-plus-acre site in Dearborn, Michigan, more than 1.7 Dearborn, MI million visitors annually experience 300 years of American innovation, ingenuity, resourcefulness, and perseverance at the five attractions on WEBSITE thehenryford.org site: The Henry Ford Museum of American Innovation, historic Greenfield Village, the Ford Rouge Factory Tour, The Benson Ford Research Center, and The Henry Ford Giant Screen Experience. However, one American innovation that helps keep the popular attraction complex humming is not on public display. It’s ScheduleSource’s innovative workforce management software, which runs behind-the-scenes to ensure that the attractions are fully staffed for all of those visitors—from peak season in the summer and holidays to the off-season. “It’s a large complex site,” says Ann Marie Bernardi, senior manager for administration and scheduling in the guest services unit of The Henry Ford, who has worked at the museum for 38 years. “We need to make sure we have coverage for all our units—Guest Services, Contact Center, Food Service, and Security.” The Henry Ford Museum of American Innovation and Greenfield Village programs unit also incorporates ScheduleSource’s software in their operations daily. ScheduleSource’s TeamWork software was first introduced in the museum’s guest services unit, which handles all front of house ticketing and guest relations for the attractions, starting in late 2004. In addition to guest services, ScheduleSource now handles scheduling for food services (in the museum and village), security (a 24-hour operation), and the contact center (incoming calls, information and orders for tickets), as well as for all the Henry Ford Museum of American Innovation interpreters, crafts demonstrators, train and Model T operators, and presenters in the Greenfield Village and Ford Rouge Factory Tour.
  • A Note on Unbounded Apollonian Disk Packings

    A Note on Unbounded Apollonian Disk Packings

    A note on unbounded Apollonian disk packings Jerzy Kocik Department of Mathematics Southern Illinois University, Carbondale, IL62901 [email protected] (version 6 Jan 2019) Abstract A construction and algebraic characterization of two unbounded Apollonian Disk packings in the plane and the half-plane are presented. Both turn out to involve the golden ratio. Keywords: Unbounded Apollonian disk packing, golden ratio, Descartes configuration, Kepler’s triangle. 1 Introduction We present two examples of unbounded Apollonian disk packings, one that fills a half-plane and one that fills the whole plane (see Figures 3 and 7). Quite interestingly, both are related to the golden ratio. We start with a brief review of Apollonian disk packings, define “unbounded”, and fix notation and terminology. 14 14 6 6 11 3 11 949 9 4 9 2 2 1 1 1 11 11 arXiv:1910.05924v1 [math.MG] 14 Oct 2019 6 3 6 949 9 4 9 14 14 Figure 1: Apollonian Window (left) and Apollonian Belt (right). The Apollonian disk packing is a fractal arrangement of disks such that any of its three mutually tangent disks determine it by recursivly inscribing new disks in the curvy-triangular spaces that emerge between the disks. In such a context, the three initial disks are called a seed of the packing. Figure 1 shows for two most popular examples: the “Apollonian Window” and the “Apollonian Belt”. The num- bers inside the circles represent their curvatures (reciprocals of the radii). Note that the curvatures are integers; such arrangements are called integral Apollonian disk pack- ings; they are classified and their properties are still studied [3, 5, 6].
  • The World's Premier Automotive Tour Experience

    The World's Premier Automotive Tour Experience

    The World’s Premier Automotive Tour Experience Driving America exhibition in Henry Ford Museum Best-of Highlights Group Benefi ts Day 1 The Henry Ford: • Visit Henry Ford Museum • Free parking • Dinner/evening at MotorCity Casino Hotel • Motor coach greeters Day 2 • Complimentary admission for driver and escort • Breakfast or lunch at Hard Rock Cafe Detroit • Express group check-in • Shopping at Great Lakes Crossing Outlets Great Lakes Crossing Outlets: Pre-registered groups receive a Passport to Shopping for exclusive discounts Two-Day Road Trip at over 100 stores and restaurants in the mall, shopping Day 1 bags and complimentary lunch for the driver and group • Visit Henry Ford Museum and Greenfi eld Village leader. Register online at greatlakescrossingoutlets. (option to add village ride pass) com/visitors or by calling 1-877-SHOP-GLC. • Dinner/evening at MotorCity Casino Hotel Hard Rock Cafe: Complimentary motor coach parking. Day 2 Tour operator groups receive one complimentary meal • Breakfast or lunch at Hard Rock Cafe Detroit per 20 guests and bus drivers eat for free. • Shopping/lunch at Great Lakes Crossing Outlets MotorCity Casino Hotel: Complimentary on-site motor coach parking; Reward Play incentives for motor coach Three-Day Motor City Immersion passengers; at least a $25 Reward Play incentive per person, group leader bonus and additional $50 Reward Day 1 • Visit Greenfi eld Village Play incentive for group leader. • Dinner/evening at MotorCity Casino Hotel The Henry Ford Day 2 Contact: Vickie Evans • 313.982.6008 • Visit Ford