Oh, what a happy little challenge! To divide a rectangle into 8 parts using only 3 lines, you can start by drawing two lines that intersect inside the rectangle to create four sections. Then, draw a third line that intersects the other two lines outside the rectangle, creating a total of eight parts. Just like that, you've created a beautiful composition with just a few simple strokes.
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To divide a rectangle into 7 parts using 3 lines: Use 2 lines to draw two diagonals. Use the third line to draw a parallel line to any of the sides but not passing through the centre
Yes you can, but you have to use zig zag lines. Using straight lines there are only four ways to divide a square into two equal parts (along the lines of symmetry).
You can't. However, you can divide it into seven, like so: Make the lines make a triangle in the middle of the circle, rather than making them meet at the centre.
Infinite amount of times. Its just a matter of how accurate you can draw the dividing lines.
Sure, honey. Technically speaking, you can't divide a pentagon into 3 equal parts with straight lines. A pentagon has 5 sides, so you can divide it into 1, 2, or 5 equal parts, but not 3. Math can be a real buzzkill sometimes, can't it?