#squareNumbers

2023-02-27

Luke: What's a 1-by-1 square, what's a step squad up to 2, what's a 3-by-3 square, what's a step squad up to 4, what's a 5x5 square, and what's a step squad up to 6?
Me: 🤔 🧠 🤨 1, 3, 9, 10, 25, 21
Luke: 21? The step squad up to 6 is not bigger than the 5x5 square?
Me: Nope.

He wanted to see it for himself so I got out the graph paper.

Luke: This one's 21. And this one's 25. But this seems bigger.

It took some re-counting before he become convinced!

#tmwyk #squareNumbers #triangularNumbers

Luke has drawn a five-by-five square next to a "step-squad" arrangement of twenty-one, with twenty-one squares arranged in an upside-down step shape. He accidentally drew a six-by-six square which he is in the process of erasing.

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