Engaging Math Challenge: Draw Lines Across the Grid
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Chapter 1: Introduction to the Puzzle
This puzzle consists of three levels, challenging you to connect all dots on grids with varying dimensions. You'll need to draw 4, 6, and 8 straight lines to link 9, 16, and 25 dots respectively, without lifting your pencil. Feel free to practice on graph paper!
Before you move on to the solution, I encourage you to take a moment, grab your pen and paper, and give it a try!
The first video provides a delightful drawing experience using various line types, which can inspire your approach to the puzzle.
Section 1.1: The 3x3 Grid Challenge
The first grid consists of 9 dots arranged in a 3x3 format.
When attempting this, remember that the goal is to connect all dots with just 4 lines.
Subsection 1.1.1: Solution to the 3x3 Grid
Once you've given it a shot, you can check your solution against the following image.
Section 1.2: The 4x4 Grid Challenge
Next, move on to the 4x4 grid, where you'll need to connect 16 dots with 6 lines.
Chapter 2: Exploring the 5x5 Grid
Now, challenge yourself with a 5x5 grid, aiming to connect 25 dots using 8 lines.
The second video offers guidance on drawing techniques for beginners, which can enhance your problem-solving skills for these puzzles.
Section 2.1: The 6x6 Challenge
For an additional test, can you connect 36 dots on a 6x6 grid using 10 lines?
Moreover, is there a general formula for determining the number of lines required for n by n grids?
Photo by Alex Konokh on Unsplash
What are your thoughts on this challenge? I'd love to hear your reasoning in the comments below!
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