Exploring Tessellations Through Transformations

What inspired M.C. Escher to explore tessellations?

• A book on geometry

• A conversation with a mathematician

• A visit to the Louvre Museum

• A trip to the Alhambra mosque

What is the main characteristic of a translation cut?

• The shape is scaled up or down

• The shape is rotated around a point

• The shape is flipped and then slid

• The shape is slid to the opposite side without changing orientation

In the translation cut example of the Pegasus, what part of the Pegasus was moved first?

• The hooves

• The tail

• The head

• The wings

How can you identify a translation cut?

• The object appears to be scaled

• The object appears to be slid without changing orientation

• The object appears to be rotated

• The object appears to be flipped

What is a rotational cut?

• Cutting on a point and rotating it to the other side

• Cutting and scaling a shape

• Cutting and flipping a shape

• Cutting and sliding a shape to the opposite side

In the rotational cut example of the geckos, which point was used for the first rotation?

• Point G

• Point I

• Point A

• Point N

How can you identify a rotational cut?

• The shape appears to be scaled

• The shape appears to be slid

• The shape appears to be rotated

• The shape appears to be flipped

What is a glide reflection cut?

• Cutting and sliding a shape to the opposite side

• Cutting and flipping a shape, then sliding it

• Cutting on a point and rotating it to the other side

• Cutting and scaling a shape

In the glide reflection cut example of the horsemen, what was the first part of the horse that was manipulated?

• The head

• The legs

• The tail

• The back

What are the three types of cuts used to create tessellations?

• Translation, Rotation, and Scaling

• Translation, Reflection, and Scaling

• Rotation, Reflection, and Glide Reflection

• Translation, Rotation, and Glide Reflection