The Challenge: Draw a long, looping, self-intersecting line that meets back with itself at the start. Avoid having any 3 lines cross at the same intersection (although after a bit it may be fun to play with this). Then, select a color, and start coloring in the spaces created by your line’s intersections. Can you color it such that you end with every section alternating colors?

Materials Needed: writing utensil, writing surface Math conceptsyou could explore with this challenge: counting, functions, geometry, knot theory, vertices/intersections

Depending on how you use this activity, you may engage with different mathematical standards. I’ve listed possible connected math content above. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments!

1.) Make sense of problems and persevere in solving them. Can every graph be 2 colored?As you add intersections, how many new spaces are created? Can you create a function to describe the relationship between the number of intersections and the number of enclosed spaces? 2.) Reason abstractly and quantitatively. How many new spaces does each crossing create? 6.) Attend to precision. Ensure that a 2-coloring is correct by methodically working through your design.

This has been my go-to doodle for 50+ years. I did this to a motorcycle helmet with 1/4 inch masking tape, and sprayed on the second color. (silver on black) One of a kind. Wish I still had it.

Rules of the Game:
1) Do not pick up your pencil when you are drawing the looping doodle.
2) You must end where you begin.
3) Spaces that share a boundary must be different colors.
4) Spaces that share a point are allowed to be the same color.

Questions for my students:
Can you draw a doodle that requires MORE than 2 colors?
What if you are allowed to lift your pencil when you draw the doodle? Now can you draw one that requires more colors?
How many colors does it take to color in a map of the US?
Can you draw any doodle that requires MORE than 4 colors?

hi I really like your artwork, it looks really neat and well done.it just didn’t work out for me well I don’t get the instructions maybe if there was a full video tutorial I would understand the instructions .i did try my best thought

how she outlines the shapes that will meet and highlights them and then she starts coloring them

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The video is not working

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It’s just the picture, it’s a time lapse to make it:)

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This has been my go-to doodle for 50+ years. I did this to a motorcycle helmet with 1/4 inch masking tape, and sprayed on the second color. (silver on black) One of a kind. Wish I still had it.

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did you make this video if you did I rrreeeaaalllyyy like it Terry???

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um… hi that’s a really cool video i like it bye bye

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she first draws the shape and then she starts making lines

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It has a really cool ilusion and it looks really cool, great job to this person

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cool

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Nice 👍

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yeah she did really good!!!

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i made one they look really cool

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look at curry man

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nice

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epiccc

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Yooooooooooooooooooooooooooooooooooooooooo

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Wow…… but why

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What it do flight crew! F..T..C….. FLIGHT TEAM STAND UP!

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AWESOME!!! SO COOL!!!

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i know

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Cool!

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it was really cool but it was really fast.

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Too fast

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ummmmm…………it is ok

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Cool I love the video

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Rules of the Game:

1) Do not pick up your pencil when you are drawing the looping doodle.

2) You must end where you begin.

3) Spaces that share a boundary must be different colors.

4) Spaces that share a point are allowed to be the same color.

Questions for my students:

Can you draw a doodle that requires MORE than 2 colors?

What if you are allowed to lift your pencil when you draw the doodle? Now can you draw one that requires more colors?

How many colors does it take to color in a map of the US?

Can you draw any doodle that requires MORE than 4 colors?

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cool

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the video was very fast

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wow that picture is amazing and the video was sooo fast!

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It was cool

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the video dose not work for me

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How does she have the patience to make all those lines?!

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Its just a time lapse.

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Sorry about that. I recently updated the post and must have lost the instructions in the shuffle. I re-added them now.

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This a quick way to use up all your pen ink.

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it looks great keep up the great work

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hi I really like your artwork, it looks really neat and well done.it just didn’t work out for me well I don’t get the instructions maybe if there was a full video tutorial I would understand the instructions .i did try my best thought

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Very nice

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loved it!

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WOAH! So, cool!!! 😀

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Is it will be more difficult if you use 3 colors in this case? there may have some cases the color of nearby area is the same. I guess

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I liked the colors and how they made this.

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This diagram has interestng features such as different colors including blue and red and lines going down

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its nice i like it

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