It's been a while since my son and I made math art magic with Möbius strips and it was time for some more math fun, this time we explored the geometry magic and accomplished the impossible! (Melodramatic, much?)
We turned two circles into one square.
"Inconceivable!" you shout. "No one can turn two closed curves into a regular quadrilateral!"
"Ah, ha!" I answer, "That is this power of math."
But seriously, this geometry paper trick is totally awesome and you will amaze and impress your children when you show them how it is done. And isn't that our goal in life? (Note: I included affiliate links in this post.)
What you need:
- 2 paper strips of equal length. I used origami paper to make it snazzy and pretty.
- a passion for the thrill of math
(To see the trick in action watch the video below.)
Form one strip into a circle. Tape.
Loop the second strip through the circle in the manner of a paper chain. Tape.
Securely tape the two circles together. Important: tape loops together on both sides.
Carefully cut one circle in half lengthwise. Now you have two loops connected by one long strip. (You are correct, this is not a square. Smarty pants.)
Cut the remaining strip down the middle.
Oooooo, ahhhhhh and say, "Wow!"
Watch the magic and be impressed again and again:
Be sure to pin and share this post, so all your friends can be amazed at how nerdy you are.
More fun math and paper tricks:
We love math art and math magic so much! It helps my left brain sons get creative and exercise those right brain skills. Discover more terrifically awesome math magic right here:
Oh my gosh, that is hilarious and awesome. 🙂 And you're right, math IS magic.
This was fun to watch but how does math play into it?
Erica MomandKiddo says
Topology is a branch of math that is the study of surfaces and shapes.
Benjamin Stephen Joseph says
I like circle game please send me more new thanks
Karen Murphy says
Thank you for the fun turning 2 circles into a square post - it saved my afternoon with my 3 grandkids ages 8 and 5. They enjoyed the video, watching it 3 times, and doing the cutting and taping and more cutting gave us something to do together on a rainy afternoon. This activity led to cutting out food for a pretend restaurant, making paper trays to carry the food, etc. It was a great stepping off activity that led to some imaginative play.
Erica MomandKiddo says
That's wonderful! Thank you for telling me!
These are wonderful activities with learning and exploring with fun.
Please keep sharing more videos.
I love it! Its really magic! Turning 2 circles into a square!
This was entertaining, but you do realize that you don’t have “2 circles”. You have 2 cylinders. You’re essentially making the strips necessary to make a square. Without restrictions there are other less convoluted ways to achieve the same result.