CHAPTER 6: Math in Nature & Art

Dihedral Rosette Patterns have both rotational and reflectional symmetry unlike Cyclic Patterns

• True

• False

The is a series of numbers in which each number is the sum of the two preceding ones.

 is a property of an object or design where one half is a mirror image of the other half.

What type of pattern is formed when a geometric shape is repeated with a specific orientation around a central point?

• Cyclic pattern

• Fractal pattern

• Dihedral pattern

• Rosette pattern

Isometries preserve distance and shape

• True

• False

Which of the following transformations is NOT considered an isometry?

• Translation

• Reflection

• Dilation

• Rotation

The following statements are false about fractals EXCEPT:

• Upon closer inspection, fractals showcase unique formations present nowhere else

• They exhibit self-similarity

• Some important mathematicians who've contributed to this concept are Gaston Benoit and Maurice Mandelbrot

• It is an entirely unique and independent branch of mathematics unrelated to geometry and applications in art and nature.

changes the size of an object without altering its shape. It can either make the figure larger or smaller, stretching or compressing it.

Which of the following best defines symmetry in mathematics?

• The arrangement of patterns in a complex structure

• A geometric shape with repeating elements

• The property of an object remaining unchanged under a transformation

• The study of self-replicating patterns in nature

Which of the following transformations is an example of an isometry?

• Stretching

• Shearing

• Scaling

• Reflection