Research Non-Euclidean geometry and plan a seminar based on your group's research. Each group member should research one of the following five areas:

Describe how non-Euclidean geometry changed the direction of subsequent research in mathematics.

Research Non-Euclidean geometry and plan a seminar based on your group's research. Each group member should research one of the following five areas:

Present examples of the work of M.C Escher that provide ways of visualizing hyperbolic and elliptic geometry.

A school playground is in the shape of a rectangle $400$ feet long and $200$ feet wide. If fencing costs $\$14$ per yard, what will it cost to place fencing around the playground?

Research Non-Euclidean geometry and plan a seminar based on your group's research. Each group member should research one of the following five areas:

Describe how Albert Einstein applied the ideas of Gauss and Riemann. Discuss the notion of curved space and a fourth dimension.

Can a triangle contain two right angles? Explain your answer.

Research Non-Euclidean geometry and plan a seminar based on your group's research. Each group member should research one of the following five areas:

Present an overview of the connection between Saccheri quadrilaterals and non-Euclidean geometry. Describe the work of Girolamo Saccheri.

Research non-Euclidean geometry and plan a seminar based on your group's research. Each group member should research one of the following five areas.

Present an overview of the history of the people who developed non-Euclidean geometry. Who first used the term and why did he never publish his work?

Express the required calculation in terms if $\pi$ and then round to the nearest tenth.

How much fencing is required to enclose a circular garden whose radius is $20$ meters?

Find the sum of the angle measures at vertex B. Then explain why the tessellation is fake.

A police helicopter is flying at $800$ feet. A stolen car is sighted at an angle of depression of $72\degree$. Find the distance of the stolen car, to the nearest foot from a point directly below the helicopter.

Find the sum of the angle measures at vertex A. Then explain why the tessellation is fake.

If the measures of two angles of a triangle are known, explain how to find the measure of the third angle.

If the measures of two angles of a triangle are known, explain how to find the measure of the third angle.

This activity is suggested for two or three people. Research some of the practical applications of topology. Present the results of your research in a seminar to the entire class. You may also want to conclude a discussion of some of topology's more unusual figures, such as the Klein bottle and the Mobius strip.