#MathArtChallenge Day 1: Tons of triangles

The Challenge: Draw as many connected triangles as you can. Goal is to have as many vertices with 7 triangles as possible.

Materials Required: Writing surface, writing utensil
Math concepts you could explore with this challenge: angles, counting, exponents, fractals, functions (exponential), triangles, geometry, graph theory, hyperbolic geometry, lines, polygons, sequences, intersections/vertices

Here’s a quick video tutorial after lots of requests for help in the comments.

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!

5.) Use appropriate tools strategically. What tools are best for this activity? How might your materials (sharpie vs fine tip pencil) change your level of success?

6.) Attend to precision. Mistakes will happen (6 lines or 8 rather than 7) when creating these. How can you minimize them, and what planning can you implement to minimize them?

7.) Look for and make use of structure. Is there a “best way” to grow this? How is your success altered when you alter the length of the lines?

Author: Ms. P

Math Teacher in Minneapolis, MN.

45 thoughts on “#MathArtChallenge Day 1: Tons of triangles”

1. Anonymous says:

THATS SPECTACULAR!!!

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1. Hannah Siegle says:

Anonymous means an unknown name

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1. Anonymous says:

yea anonymous means unknown name

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2. Anonymous says:

y

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3. Anonymous says:

coob

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2. Anonymous says:

How are we supposed to make this? But it is very fun looking!

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1. Annie Perkins says:

Start with a vertex (point, dot, as you like). From that dot, draw 7 lines coming off of it. Connect the ends of each of those lines to make triangles. Every time you have 2 or more lines meet, that’s a new vertex. To get this specific type of design, you want to try to make all vertices have 7 lines (edges), and to always make triangles when you can. There’s a nice (slower!) tutorial in this video: https://www.youtube.com/watch?v=xu-RSUGBgpA

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1. Anonymous says:

Thank you!

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2. Anonymous says:

👁️👃👁️

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3. Anonymous says:

Wha- I’m confused.

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4. Hannah Siegle says:

im really confused what are we supposed to do???

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5. Evie says:

What are we suppose to do

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1. Anonymous says:

??? it wont work at all and i do not know? by ar

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6. Anonymous says:

What are we supposed to do?

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7. Anonymous says:

it looks cool but we have other stuff to do so why would my math teacher post this assignment

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1. Anonymous says:

because math is visual and is more art than science. This is about geometry and spatial sense and, proportionality among other things. Math isn’t just about operations my friend. This is a great task!

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8. Anonymous says:

That looks hard

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1. Anonymous says:

Have you tried it? It’s really fun!

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9. Anonymous says:

Look FUN! Kiddos would love the challenge!! EHill

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10. Anonymous says:

??? I’ve been doing mine for while and it hasn’t closed off

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11. Anonymous says:

thats a good thing. your supposed to do as long as you can.

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12. Tienchin says:

Questions for my students: I wonder if it would be easier to draw 3 triangles around each vertex instead? or 4 triangles around each vertex? 5? 6? 8?

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13. Anonymous says:

You do that just with Triangles. Cool

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14. Rebekah says:

wow those are cool shapes

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15. Anonymous says:

is it just me or does the triangle clump look like Alcatraz island?

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16. Anonymous says:

i ain’t finished

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