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How do we identify the simplest frieze patterns?

The simplest frieze patterns are created using only a horizontal translation. Take a closer look at the following pattern.

simplest frieze patterns

Notice that the set of four hearts repeats again to the left and right and was created by a horizontal translation.

Now, it's your turn to identify the frieze patterns. Work through the following tabs and answer the questions about the frieze patterns, making sure to check your work.

Pattern 1

Pattern 2

Pattern 3

simplest frieze patterns

Take a close look at the frieze pattern above. Can you identify how it was made? Write down your thoughts and then click on the Answer Button to check your answer.

This frieze pattern is created by taking the following starting figure:

simplest frieze patterns

Next, that starting image is translated horizontally to create the rest of the pattern.

simplest frieze patterns

Take a close look at the frieze pattern above. Can you identify how it was made? Write down your thoughts and then click on the Answer Button below to check your answer.

This frieze pattern is a drawing on the side of an ancient building. It can also be created by a horizontal translation. You start with the following figure:

simplest frieze patterns

Then, you can translate this initial image to the left and right to finish off the pattern.

simplest frieze patterns

Take a close look at the frieze pattern above. Can you identify how it was made. Write down your thoughts and then click on the Answer Button below to check your answer.

This is another pattern that is created by a horizontal translation. Start with the following original figure:

simplest frieze patterns

This original figure is then translated to the left and right to create the rest of the frieze pattern.