**Goal:**To learn the geometry needed in order for a fun, fictional company to build architecture for their land.

**Geo: A Geological, Geographical, Geometrical World**

Given a landscape, players decide how to tesselate the land into equal plots using a geometric shape so the land can be divided in an interesting an fair manner.

The players then zone the land into residential, recreational, and commercial areas.

Each player gets a plot of residential land for their own use. Each player designs their plot to their liking through sketches and drawings.

**GeoBuilders: The Company**

Each player works at

*GeoBuilders*, an architectural and construction company. The company is located in a commercially zoned area. The company designs and then builds for all three areas: residential, commercial, and recreational.

Potential clients come to

*GeoBuilders*with plans containing geometric specifications. The players must prove that the design they propose meets the client's geometric specifications. To meet the highest safety and quality standards, construction of a design is begun only after all design specifications have been proven to be met.

For example, a client has carved out a rectangular sub-plot on their property and they want a triangular building constructed that takes up exactly half the rectangular sub-plot and leaves room in the sub-plot on exactly two sides of the triangular building. How would you position the triangular building in the rectangular sub-plot and how would prove that it takes up exactly half of the sub-plot?

**The**

*Wisdomary*(The Library)All accumlated knowledge of

*GeoBuilders*is kept in a room called the

*Wisdomary*. In the

*Wisdomary*resides five cherished books that an employee regularly updates. Players can propose additions to any of these books at any time.

*: Interesting questions about geometry and problems of*

__The Book of Questions__*Geo*that geometry may improve are written in this book.

__If one of the questions from__

*The Book of Hypotheses*:*The Book of*

*Questions*is carefully examined by a player and an educated guess made, this question and educated guess are written in

*The Book of Hypotheses.*

*If one of the hypotheses from*

__The Book of Conjectures:__*The Book of*

*Hypotheses*has been tested out with many cases and thus seems true, the hypothesis and tested cases are written in

*The Book of Conjectures*.

*If one of the conjectures from*

__The Book of Proofs:__*The Book of Conjectures*is proven to be true, the conjecture and proof are written in

*The Book of Proofs.*

*If a new application is found for a proven truth in*

__The Book of Applications:__*The Book of Proofs*, the application is written in

*The Book of Applications*.

Company celebrations are held for additions to the last two books:

*The Book of Proofs*and

*The Book of Applications.*

**The Mayor of Geo**

The Mayor prepares and organizes the game and guides the continuity of events, especially the sequence of construction proposals from clients. The Mayor teaches the relevant geometry to the players so they can design the increasingly sophisticated specifications proposed by their clients.