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  "description": "Math is wonderful, and there are so many different ways to play and experience it. I enjoy having conversations with other math lovers and sharing ideas, puzzles, pedagogy, and questions.\n\nIn one of these conversations with Dr. Maria at Natural Math, I learned about a book called Modultown by Drs. Sasha Fradkin and Allison Bishop, and the artist, Mark Gonyea. The project also has an adjacent puzzle book with a delightful puzzle called Moduloku.\n\nI made a prototype of a simplified digital version",
  "path": "/moduloku/",
  "publishedAt": "2026-06-29T21:35:27.000Z",
  "site": "https://www.fractalkitty.com",
  "tags": [
    "Modultown",
    "Recurse Center",
    "Inquiries.Link",
    "one"
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  "textContent": "Math is wonderful, and there are so many different ways to play and experience it. I enjoy having conversations with other math lovers and sharing ideas, puzzles, pedagogy, and questions.\n\nIn one of these conversations with Dr. Maria at Natural Math, I learned about a book called Modultown by Drs. Sasha Fradkin and Allison Bishop, and the artist, Mark Gonyea. The project also has an adjacent puzzle book with a delightful puzzle called Moduloku.\n\nI made a prototype of a simplified digital version while at the Recurse Center on my website Inquiries.Link.\n\nI look forward to working on some of these in my math sessions with learners and playing with some of the variations in the book.\n\n\n## Spoiler:\n\nHere are my thoughts as I solve one:\n\nThe first thing is to look for blanks I can check right away against the remainders. I see that the third column has one blank and the sum has a remainder of one when divided by 10. Of the numbers available, only 7 gives a remainder of 1.\n\nI can then use the same approach to find the numbers in the first column. First I find the 9, but then, the next one is a little tricky. I need a 2, but since that isn't available, I can use 12 to get the same remainder.\n\nNow, the top row has a remainder of 3 and the sum is 3 with two blanks. That means that the sum of the two blanks must be divisible by 10. The only combination that works is 6 and 4. So, the last two blanks must be 5 and 8.\n\nWe can do the same for the columns. So, column 2 has a remainder of 5 and sum of 11. That means that we must sum the two blanks to a number that has a remainder of 4 when divided by 10. The only combination of 4,6 and 5,8 that works is 6 and 8, which sums to 14.\n\nWhich leaves only one possible value for each remaining blank – Solved!",
  "title": "Moduloku",
  "updatedAt": "2026-06-29T21:35:27.575Z"
}