Just to be clear, you have to draw 11 lines that meet all dots. Or fewer if possible. Or if it is not possible, explain why not. . Just to be clear, this grid is meant to be placed on a flat surface (such as a table.) Also as implied by the questions, line thickness is smaller than dot radius, but it must pass through the centre if the fit!
How many lines can you draw in a 7×7 grid?
Recently a questionwas posted with this picture of a 7×7 grid of dots, asking for a possible configuration with 12 lines where you can draw them without lifting a pencil. But is it possible with 11 lines? If so, what about 10? Just to be clear, you have to draw 11 lines that meet all dots. Or fewer if possible.
What is the minimum number of straight lines to connect all?
If H = 6, there exist 7 points (on another horizontal line) that are NOT covered by the horizontal lines in the solution. Each of these 7 points must be covered by a separate line; this yields V + S ≥ 7 and H + V + S ≥ 13. If V = 6, we argue symmetrically to case 3. It remains to consider the case with H ≤ 5 and V ≤ 5.
Can a line of sufficient thickness connect all the dots?
A line of sufficient thickness can connect all the dots (by covering them)$\endgroup$– March HoJan 13 ’15 at 7:28 | Show 6more comments 3 Answers 3 ActiveOldestVotes 46 $\begingroup$
How do you connect 9 dots with 4 lines?
Get a pen and some paper and copy the nine dots arranged in a square below. To solve the problem, you need to join all nine dots by drawing no more than four straight lines. The straight lines must be continuous – i.e. you must not lift your pen from the paper once you start drawing. Don’t read any further until you’ve tried to solve the problem.
How many straight lines do you need to make a circle?
The challenge is to connect every dot with five straight lines. However, each line must connect to the last (think about a pen you cannot pick up from the paper). The twist to this is that the last line must end at the beginning of the first line. Using six contiguous straight lines, connect all of the sixteen circles shown below?
How many dots do you need to make a pizza?
Nine dots are placed in three rows of each three dots, as shown in the picture. These nine dots must be connected by four straight, connected lines (i.e. without ‘lifting up the pen’ in between). Can you cut the pizza into 11 pieces using only 4 straight lines ( pizza is round in shape ) ?
Recently a questionwas posted with this picture of a 7×7 grid of dots, asking for a possible configuration with 12 lines where you can draw them without lifting a pencil. But is it possible with 11 lines? If so, what about 10? Just to be clear, you have to draw 11 lines that meet all dots. Or fewer if possible.
