Nesting Polygons


Did you know?
A polygon is a shape with straight sides. A regular polygon is a polygon where all angles are equal in measure and all sides have the same length.

Polygons are used everyday by many people and are also found in nature. These shapes include snowflakes, pyramids, and even a honeycomb. Land is also an example of a polygon. Think about the Bermuda Triangle. Its geographic feature was formed in the shape of a triangle..

TRY THIS

  • Paper
  • Ruler
  • Pencil
  • Colored pencils, optional

Draw a large equilateral triangle in the center of the paper.

Using the ruler, make a small mark on a leg of the triangle a short distance to the left of a corner (for instance, one half inch from the corner. Make another mark at the same distance to the left of another corner on a different leg. Make a third mark on the remaining leg the same distance to the left of the last corner.

Using the ruler, connect the three marks forming a smaller equilateral triangle inside the first, but tilted slightly.

Mark three new points, the same way, at the same distance, on the three legs of the new triangle. Connect the marks making a new triangle inside the first two, slightly tilted.

Mark three new points, the same way, at the same distance, on the three legs of the new triangle. Connect the marks making a new triangle inside the first three, slightly tilted.

Continue in this manner until the new triangle is very small.

Go over the lines with colored pencil, if you wish, or color in the triangles. "

STEP IT UP

Try this process on different polygons.

Found on: https://www.artfulmaths.com/mathematical-art-lessons.html

PARENT & TEACHER TOOLS

This program has been designed for you to share with your child. Read the material together, ask questions and encourage your child to ask questions. Then nurture their curious mind by doing the activities with them. Books included are available via CPL’s digital library (with a library card).