4 Column 6 Row Table Powerpoint Template And Google Slides Theme Puzzle : joing 4 rows and columns. Just like the 9 dots puzzle which requires you to connect all 9 dots using a maximum of 4 straight lines without lifting your pen off the paper or retracing.
Recreational Maths Puzzle Draw Two Squares To Separate 9 Dots One In Since there are 4 rows: (4 rows) * (4 combinations per row that do not form a triangle) = 16 invalid. case 2: same logic as case 1. there will be another 16 invalid groupings. case 3: 3 dots that lie on diagonally upwards sloping lines. there are 2 diagonally upward slopping lines that sandwich the center diagonal. The first example is to arrange the dots in a square of side length s. drawing in all 6 lines gives 4 lines of length s and 2 lines of length s \sqrt (2). another example is to arrange 3 of the dots in an equilateral triangle with side length t, placing the last dot at the centroid. that gives 3 lines of length t and 3 lines of length t \sqrt. This line will connect the bottom right, top center, and top right dots. step 4: lastly, draw a line from the top right dot and extend it diagonally downwards to the bottom right, connecting the top right, middle right, and bottom right dots. with this final line, you have connected all nine dots and solved the 9 dot puzzle using only four lines!. And we see how the $3$ line of type 1 is the only line connecting to the other three lines to one side of their points. the other three lines divide each other in parts having points on each side. so all three other lines must be connected to the $3$ line of type 1 in a given solution. this is impossible since each line can only be connected to.
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