See the related link, "Solution" below.
To join six dots with four straight lines, you can arrange the dots in a specific pattern, such as forming a hexagon or two rows of three. Start by drawing a line that connects three dots in one row, then extend the line to connect to a dot in the second row. Continue by drawing lines that cross back to connect the remaining dots, ensuring that each line is drawn in a way that doesn't lift your pencil off the paper. This creates a continuous path that links all six dots using only four lines.
To connect 12 dots with 5 straight lines while ending where you began, arrange the dots in a circular pattern. Start at one dot and draw the first line to the second dot, then continue connecting dots in a sequence, ensuring that you loop back to the starting point after completing the 5 lines. By overlapping lines and strategically choosing your connections, you can complete the task while adhering to the constraints. This puzzle requires a creative approach to visualize the connections.
To connect the 9 dots with only 4 straight lines, you need to think outside the conventional boundaries of the square formed by the dots. Start from one of the outer dots and draw a line that extends beyond the square, allowing you to connect dots in a diagonal manner. By connecting the dots in this way, you can complete the task without lifting your pen and while adhering to the limit of 4 lines. This exercise demonstrates the importance of creative problem-solving.
To connect 12 dots with 5 lines without lifting your pencil, you can arrange the dots in a specific pattern, such as a grid or a cluster, and then draw lines that extend beyond the outermost dots. By starting from one dot and strategically navigating through others, you can create overlapping lines that connect multiple dots in one stroke. The key is to think outside the box and utilize the space around the arrangement of dots. This approach often involves drawing lines that extend beyond the immediate area of the dots.
To connect all nine dots using five straight lines, start by visualizing the dots arranged in a 3x3 grid. Begin at the bottom left dot, draw a line diagonally upwards to the top right dot, extend the line out past the grid, then draw a line horizontally left to the top left dot, down to the middle left dot, and finally draw a line diagonally down to the bottom right dot. This approach allows for all dots to be connected without lifting your pen.
It all depends on the arrangement of the dots. Besides, there is nothing about straight lines, so used curved lines instead
distribute the 12 dots around the perimeter of a pentagon
Just connect the dots.
That would depend on the position of the dots.
It depends entirely on the layout of the dots and whether the lines need to be straight.
put all nine dots in a straight line, then any positive number of lines will be sufficient.
It all depends on the arrangement of the dots. Besides, there is nothing about straight lines, so used curved lines instead
It depends on where the dots are located. If they are all collinear only one straight line is required. For a 5x5 grid, only 5 lines are required.
Connect the Dots
You need to extend the lines far beyond the box of dots. Your answer should look like a really tall and skinny N.
Draw a line from one dot in the center to the other four dots. Or, draw a straight line. Place dots at either end of the line, and place dots in the center of the line.
To join six dots with four straight lines, you can arrange the dots in a specific pattern, such as forming a hexagon or two rows of three. Start by drawing a line that connects three dots in one row, then extend the line to connect to a dot in the second row. Continue by drawing lines that cross back to connect the remaining dots, ensuring that each line is drawn in a way that doesn't lift your pencil off the paper. This creates a continuous path that links all six dots using only four lines.