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All Tied Up In Knots

In this activity, students learn a topological trick with a rope.

Topology is the mathematical study of shapes and spaces. It involves looking at the shapes that result through stretching, transforming, deforming, folding and twisting. Tearing, on the other hand, is not allowed!

Scientists often have to think creatively to solve problems or figure out how something works.

This activity will get your students thinking with their hands!

Objectives

  • Explain the importance of observation when doing science.

Materials

  • Per Class or Group:
    2 or 3 lengths of rope (1m+)

What To Do

Preparation:

  1. Set up the room so that there is enough space for volunteers to be clearly seen by the other students.

Instructions:

  1. Ask for 3 volunteers and have them tie a simple overhand knot (the first step in tying your shoe) in the middle of their ropes.
  2. Now have them attempt to do the same thing again, except this time, they can’t let go of their rope in any way once they pick it up. (Passing it from hand to hand is the same as letting go.)    Tip: They’ll have trouble with this!
  3. Ask a few other students to come up with a solution or try it themselves before you reveal the secret.
  4. Demonstrate the secret. It’s easy! Simply fold your arms before you pick up the rope. All you need to do is to straighten out your arms while holding the rope and the knot will tie itself!Tip: Arms must be folded with one hand passing under the opposite arm like this:

About the sticker

Survivors

Artist: Jeff Kulak

Jeff is a senior graphic designer at Science World. His illustration work has been published in the Walrus, The National Post, Reader’s Digest and Chickadee Magazine. He loves to make music, ride bikes, and spend time in the forest.

About the sticker

Egg BB

Artist: Jeff Kulak

Jeff is a senior graphic designer at Science World. His illustration work has been published in the Walrus, The National Post, Reader’s Digest and Chickadee Magazine. He loves to make music, ride bikes, and spend time in the forest.

About the sticker

Comet Crisp

Artist: Jeff Kulak

Jeff is a senior graphic designer at Science World. His illustration work has been published in the Walrus, The National Post, Reader’s Digest and Chickadee Magazine. He loves to make music, ride bikes, and spend time in the forest.

About the sticker

T-Rex and Baby

Artist: Michelle Yong

Michelle is a designer with a focus on creating joyful digital experiences! She enjoys exploring the potential forms that an idea can express itself in and helping then take shape.

About the sticker

Buddy the T-Rex

Artist: Michelle Yong

Michelle is a designer with a focus on creating joyful digital experiences! She enjoys exploring the potential forms that an idea can express itself in and helping then take shape.

About the sticker

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Artist: Michelle Yong

Michelle is a designer with a focus on creating joyful digital experiences! She enjoys exploring the potential forms that an idea can express itself in and helping then take shape.

About the sticker

Science Buddies

Artist: Ty Dale

From Canada, Ty was born in Vancouver, British Columbia in 1993. From his chaotic workspace he draws in several different illustrative styles with thick outlines, bold colours and quirky-child like drawings. Ty distils the world around him into its basic geometry, prompting us to look at the mundane in a different way.

About the sticker

Western Dinosaur

Artist: Ty Dale

From Canada, Ty was born in Vancouver, British Columbia in 1993. From his chaotic workspace he draws in several different illustrative styles with thick outlines, bold colours and quirky-child like drawings. Ty distils the world around him into its basic geometry, prompting us to look at the mundane in a different way.

About the sticker

Time-Travel T-Rex

Artist: Ty Dale

From Canada, Ty was born in Vancouver, British Columbia in 1993. From his chaotic workspace he draws in several different illustrative styles with thick outlines, bold colours and quirky-child like drawings. Ty distils the world around him into its basic geometry, prompting us to look at the mundane in a different way.