tilefarmer.bsky.social
Artist, Teacher, Co-Founder of Tile Farm —let me know if you want to use it in your classroom or just for fun!
https://tilefarm.com
89 posts
58 followers
95 following
Regular Contributor
Active Commenter
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Yes I’d like to join when I can!
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Here’s the seed tile I used to make the tessellation. It’s surprisingly hard to figure out how to go from this tile to a full tessellation.
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I have made this tessellation before but never colored like this, love it!
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Hi howie, loved your talk at NCTM last year.
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Yes I love this!
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He is very adamant about . . . in science there are all these simple demos that wow kids and get them excited about science (like a baking soda and vinegar chemical reaction). Why can’t there be the same thing in math? A tessellation, a cryptographic code, a card trick can have that same awe factor
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And my dad
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Francis Su
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Turn it sideways and it’s like infinite infinity
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It’s a really nice one
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You corrected me at my own game! I stand corrected, there are three solutions, two of which are mirror images of each other!
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We had an intern two summers ago try to answer the problem of how many total dodecagons (side length one) can be made with pattern blocks? It is quite an astounding number!
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There are two solutions to this puzzle that I know of. And yes there are tons of dodecagon puzzles and some interesting conservation laws related to dodecagons made with pattern blocks. @simon-gregg.bsky.social @druizaguilera.bsky.social
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I think related to this, it’s also incredibly important for students to realize their teachers don’t know everything (and for teachers to openly admit this)
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Although maybe I misunderstood, are you talking about teacher asked questions or student asked questions?
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It doesn’t prompt the most groundbreaking questions, but I think it is really god for students to get their feet wet and learn how to ask questions with a specific goal in mind, and to understand why one question might be better than another.
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I’ve been developing “guess who” activities, mostly for K-5, but feel they can be helpful for getting 6-12 to learn what a good question is. For example have one student pick one of these 24 patterns, then the other students ask yes or no questions to try to figure out what they picked.
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I have some things in mind, but one question, are you thinking for a specific grade range?
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Irrational Number is a good one
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Edit: One of my favorite puzzles, can you make a dodecagon with 4 trapezoids and 12 tan rhombi. @simon-gregg.bsky.social @druizaguilera.bsky.social
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I feel like fostering a positive disposition towards math should be a part of every curriculum. It is definitely the biggest problem in math education
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I love a good simple combinatorics problem! Theoretically two of your solutions (in bottom left) have a chiral partner (non superimposable mirror image)
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😢
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Ahhh yes, 2 and 3 are the only twin primes
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Also a hexagon is the only 2D shape where the sum of the interior angles in degrees equals the number of sides factorial!
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Graphene is a molecular tessellation made out of hexagons!
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Great name!
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This would be a nice album cover
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I would opt for something open ended and creative (make mathematical art) than a specific problem or game
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@radiohacktive.bsky.social nice calculation! I did my quick gut instinct with a little math