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Things get interesting with pentagons. The regular pentagon cannot tile the plane. (A regular pentagon has equal side lengths and equal angles between sides, like, say, a cross section of okra, or, erm, the Pentagon). But some non- regular pentagons can. The hunt to find and classify the pentagons that can tile the plane has been a century-long mathematical quest, begun by the German mathematician Karl Reinhardt, who in 1918 discovered five types of pentagon that do tile the plane.

Attack on the pentagon results in discovery of new mathematical tile Joy as mathematicians discover a new type of pentagon that can cover the plane leaving no gaps and with no overlaps. It becomes only the 15th type of pentagon known that can do this, and the first discovered in 30 years

Five stars! The pentagon tiles are all identical. The colouring shows how they

tile the plane when arranged in identical groups of three.

Illustration: Casey Mann

In the world of mathematical tiling, news doesn’t come bigger than this.

In the world of bathroom tiling – I bet they’re interested too.

If you can cover a flat surface using only identical copies of the same shape

leaving neither gaps nor overlaps, then that shape is said to….

The billing specialists do the initial computer input and handle the majority of the cases. Normally this occurs without any need for DocSystems intervention or assistance, but occasionally there are difficult issues that arise. For example, a cardiologist may have conducted a certain procedure that fits more than one category in the DocSystems database, and the billing specialist may be unsure how to categorize it accurately.

Read the DocSystems Billing case, including the briefing document and four scenes, and consider the following questions:

1. What problems exist in this organization? How do these problems differ based on the employees’ roles? Why do employees object to Jim’s proposed solution?

2. Make a recommendation to the client about what could be done next based on the data included. Summarize your observations for Jim, offer possible interpretations, and suggest an approach for next steps.

Briefing Document: DocSystems Billing, Inc.

About the Company

DocSystems Billing, Inc., processes insurance billing paperwork for a network of small health care clinics throughout the United States. Privately owned physician practices, as well as specialists such as cardiologists and physical therapists, contract with DocSystems to process the billing paperwork through the maze of….

The 1960s was a decade of hope, change, and war that witnessed an important shift in American culture. Citizens from all walks of life sought to expand the meaning of the American promise. Their efforts helped unravel the national consensus and laid bare a far more fragmented society. As a result, men and women from all ethnic groups attempted to reform American society to make it more equitable. The United States also began to take unprecedented steps to exert what it believed to be a positive influence on the world.

Figure 29.1 In Aaron Shikler’s official portrait of John Fitzgerald Kennedy (1970), the president stands with arms folded, apparently deep in thought. The portrait was painted seven years after Kennedy’s death, at the request of his widow, Jacqueline Kennedy Onassis. It depicts the president with his head down, because Shikler did not wish to paint the dead man’s eyes.

Chapter Outline 29.1 The Kennedy Promise 29.2 Lyndon Johnson and the Great Society 29.3 The Civil Rights Movement Marches On 29.4 Challenging the Status Quo

Introduction The 1960s was a decade of hope, change, and war that witnessed an important shift in American culture. Citizens from all walks of life sought to expand the meaning of the American promise. Their efforts helped unravel the national consensus and laid bare….

The political divisions that plagued the United States in the 1960s were reflected in the rise of identity politics in the 1970s. As people lost hope of reuniting as a society with common interests and goals, many focused on issues of significance to the subgroups to which they belonged, based on culture, ethnicity, sexual orientation, gender, and religion.

http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/USHistory-OP_oDKKn5G.pdf https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/USHistory-OP_oDKKn5G.pdf

895 Chapter 30 Political Storms at Home and Abroad, 1968-1980

CHAPTER 30

Political Storms at Home and Abroad, 1968-1980

Figure 30.1 Pop artist Peter Max designed this postage stamp to commemorate Expo ‘74, a world’s fair held in Spokane, Washington. The fair’s theme was the natural environment. Unfortunately, and ironically, gasoline shortages prevented many from attending the exposition.

Chapter Outline 30.1 Identity Politics in a Fractured Society 30.2 Coming Apart, Coming Together 30.3 Vietnam: The Downward Spiral 30.4 Watergate: Nixon’s Domestic Nightmare 30.5 Jimmy Carter in the Aftermath of the Storm

Introduction From May 4 to November 4, 1974, a universal exposition was held in the city of Spokane, Washington. This world’s fair, Expo ‘74, and the postage stamp issued to commemorate it, reflected….

The wartime alliance of the Soviet Union, the United States, and Great Britain was the result of confronting a common enemy they feared more than they distrusted each other. Once the common foe was vanquished, the underlying hostility surfaced quickly as the Soviet Union moved to expand its borders

Module 4: The Cold War

The wartime alliance of the Soviet Union, the United States, and Great Britain was the result of confronting a common enemy they feared more than they distrusted each other. Once the common foe was vanquished, the underlying hostility surfaced quickly as the Soviet Union moved to expand its borders. In March 1946, Britain’s Winston Churchill would proclaim that an “iron curtain” had fallen across Europe, separating east and west. Although the curtain was merely symbolic, it would effectively divide the world into two camps until early 1989, when the most visible embodiment of that iron curtain—the Berlin Wall—was dismantled, signaling the end of the Cold War.

I. The Cold War Begins

II. Baby Boom in Suburbia

III. The Elvis Era

IV. Fighting Communism at Home

….

The right of citizens of the United States to vote shall not be denied or abridged by the United States or by any State on account of race, color, or previous condition of servitude.

The Second American Revolution

The Struggle for Civil Rights,

and after

The Law:

The right of citizens of the United States to vote shall not be denied or abridged by the United States or by any State on account of race, color, or previous condition of servitude.

Amendment 15 United States Constitution Ratified February 2, 1870

Bloody Sunday

March 7, 1965, Selma, Alabama A defining moment in a larger movement

Bloody Sunday

Selma, Alabama Planned march from Selma to Montgomery, AL (the state capitol) Edmund Pettus Bridge, around 600 marchers turned back by force Batons/Billy Clubs, Tear gas, Mass force Dallas County Sheriff, Jim Clark SNCC chairman, John Lewis, beaten, whipped, tear-gassed by Clark All of this is live, on TV – CBS, NBC, ABC = in your….

Ricardo argued that the most important factor in determining what products a country should export and import is based on the comparative or relative productivity of different firms or industries within the country. In other words, if the country can produce computer chips or software at a lower cost relative to producing steel or aluminum, then it should be exporting computer chips and software and importing steel and aluminum.

Solutions for Assignment #3 will be posted on Schoology in the next couple of days. Assignment #4 will be distributed at the end of this class. It is due next week. I will also distribute a set of sample questions today, for the final exam. Note that the final exam is on Wednesday, April 25th, from 6 to 9 PM. Because we need to make up the class we missed last week, we will be extending the class for 15 minutes each day, so we will end at 9:15 PM tonight and for the following weeks.

9. The Theory of the Determinants and Gains/Losses from Trade

Ricardian and Hecksher-Ohlin theories of comparative advantage, the potential gains and losses from trade, the sectoral effects of trade liberalization, the effects….

What is brand name effect or brand effect, to understand what it is, one thing needs to be questioned, what is a brand? The brand usually is seen as the unique design and symbol for particular products, however, this is a common misunderstanding to many people. A brand is not only embodying the design and symbol but also include the emotional demand of certain consumer groups who value the product concept (Keller & Lehmann, 2006). In another word, the targeted consumer’s attitudes towards to the products are substantially shaped by the brand value

What is brand name effect or brand effect, to understand what it is, one thing needs to be questioned, what is a brand? The brand usually is seen as the unique design and symbol for particular products, however, this is a common misunderstanding to many people. A brand is not only embodying the design and symbol but also include the emotional demand of certain consumer groups who value the product concept (Keller & Lehmann, 2006). In another word, the targeted consumer’s attitudes towards to the products are substantially shaped by the brand value (Rao & Monroe, 1989). Therefore, the brand effect comes from the consumers’ knowledge and the attitude toward the brand. The basic theory of brand effect is that the quality of a product can only be….

O’Halloran (2012) confirmed the employee productivity significant association ESOPs whereas the earlier work of Curme and Stefanec (2007) opposed the correlation between the above-mentioned variables. Nevertheless, numerous authors confirmed that there is strong positive linkage between ESOPs and the organizational performance (Goddard, 2001; Bauer, 2004; and Brown and Sessions, 2006).

Relationship between ESOPs and Employee Productivity

O’Halloran (2012) confirmed the employee productivity significant association ESOPs whereas the earlier work of Curme and Stefanec (2007) opposed the correlation between the above-mentioned variables. Nevertheless, numerous authors confirmed that there is strong positive linkage between ESOPs and the organizational performance (Goddard, 2001; Bauer, 2004; and Brown and Sessions, 2006). Interestingly, the Green and Heywood confirmed that the employees’ motivation is affected by the ESOPs to some extent. However, this study was conducted in the developed economy thus, there is no conclusive evidence from the emerging economy (China)’s context. Additionally, the earlier work of researchers confirmed positive association between ESOPs and turnover (Park and Seng, 1995) and ESOPs and firm’s profitability (Jensen and McCallney, 1976; Modigliani and Miller, 1958). However, O’Halloran….

Frightening images of death and destruction, once again, are having an impact on children across the nation in the aftermath of devastating hurricanes and floods that have hit the United States over the past few months. Tens of thousands of children are caught up and deeply affected during and after these crises. Concerned about the emotional well-being of their children, many parents, teachers, grandparents and caregivers are looking for advice on how to respond to children’s questions about upsetting events in the United States.

How to Help Kids Cope with Disaster

How to Help Kids Cope with Disaster: Ten Tips

By Mark Shriver, Vice President and Managing Director of U.S. Programs for Save the Children

Kids learn how to be prepared in a disaster.

Frightening images of death and destruction, once again, are having an impact on children across the nation in the aftermath of devastating hurricanes and floods that have hit the United States over the past few months. Tens of thousands of children are caught up and deeply affected during and after these crises.

Concerned about the emotional well-being of their children, many parents, teachers, grandparents and caregivers are looking for advice on how to respond to children’s questions about upsetting events in the United States.

Children often ask the….