This animated sequence showsan antiprism from top to bottom.

This animated sequence shows an antiprism unfolding into two pyramids.

This animated sequence shows a cone from top to bottom.

This animated sequence shows a cube from top to bottom.

This animated sequence shows a cylinder from top to bottom.

This animated sequence shows an octahedron from top to bottom.

This animated sequence shows a pyramid from top to bottom.

This animated sequence shows a rectangular prism from top to bottom.

This animated sequence shows a tetrahedron from top to bottom.

This animated sequence shows a triangular prism from top to bottom.

In this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design.

In this video students learn the basics of rectangular prisms, in the context of a New York residential tower: 432 Park Avenue.

In this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. This building is an ideal example of a real-world prism and also provides a tie-in to right triangle geometry.  This video describes the geometry of the Flat Iron Building, as well as its architecture.

In this video students learn the basics of prisms and anti prisms.

In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series.

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor.

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor.

In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications. In the first, we explore the architecture of Frank Lloyd Wright as an application of squares and rectangles; in particular, we look at his Fallingwater house.

Stonehenge is best known as a circular structure. But it’s the post and lintel construction used that is noteworthy, and this type of construction involves quadrilateral shapes. From the familiar door frames of houses to the majestic entryways of ancient temples, post and lintel construction provides a clear introduction to the nature of quadrilaterals.

Frank Lloyd Wright’s architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes.

The Puerta de Europa towers in Madrid bring parallelograms front and center. These tilted towers, looking like modern-day towers of Pisa seem to defy gravity, but rely on the stability brought about by its quadrilateral structure.

This is a collection of definitions related to basic geometric concepts.

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This is a collection of definitions related to basic geometric concepts.

Note: The download is a PNG file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the compl