*From a new puzzle book by Serhiy Grabarchuk, entitled The New Puzzle Classics: Put ten dots on a piece of paper, in the form of a ten-pip domino. This will look the same as a pair of dice with fives on them, side by side. You can number the top row of dots one to four… the two middle dots five and six… and the bottom row of dots seven to ten. The object is to draw a closed loop of four consecutive straight lines, going through each of the dots once. So draw a straight line… from the end of that, draw another straight line… from the end of that draw a third straight line… and from the end of that draw one more straight line that returns to your starting point. Every dot must be crossed once. Can you do it? Your solution should give the number of the dots in each of your four lines. *
the answer is Blue?
the answer is Blue?
ooh, so close.
Your solution should give the number of the dots in each of your four lines.
Can you explain this? The sum of the numbers beside each dot should be equal? The number of dots in each line should be equal?
Damn you for posting this – now I am REALLY wasting time at work!
Your solution should give the number of the dots in each of your four lines.
Can you explain this? The sum of the numbers beside each dot should be equal? The number of dots in each line should be equal?
Damn you for posting this – now I am REALLY wasting time at work!
What that means is that your solution should be {i*}{i*}{i*}{i*}, where each {} is a set of one or more numbered points i. The points each have a number assigned to them (1 through 10). So, for example, your solution (not correct) might be {1-2}{3-4-5-6-7}{6-8}{8-9-10-1}. The first and last numbers in the whole sequence must be the same (same start and end point), and each number must be included at least once.
*From a new puzzle book by Serhiy Grabarchuk, entitled The New Puzzle Classics: Put ten dots on a piece of paper, in the form of a ten-pip domino. This will look the same as a pair of dice with fives on them, side by side. You can number the top row of dots one to four… the two middle dots five and six… and the bottom row of dots seven to ten. The object is to draw a closed loop of four consecutive straight lines, going through each of the dots once. So draw a straight line… from the end of that, draw another straight line… from the end of that draw a third straight line… and from the end of that draw one more straight line that returns to your starting point. Every dot must be crossed once. Can you do it? Your solution should give the number of the dots in each of your four lines. *
{1,2,3,4}{4,5}{7,8,9,10}{6,1}
The trick is that the lines go beyond 4, 5 , and 10
Am I right?
{3-4-3-2-1-2} - {2-5-7} - {7-8-9-10} - {10-6-3}
Yes, it involves going back over a line at the beginning but that does not violate the rules of drawing a straight line. It also complies with the “consecutive” line rule.
*From a new puzzle book by Serhiy Grabarchuk, entitled The New Puzzle Classics: Put ten dots on a piece of paper, in the form of a ten-pip domino. This will look the same as a pair of dice with fives on them, side by side. You can number the top row of dots one to four… the two middle dots five and six… and the bottom row of dots seven to ten. The object is to draw a closed loop of four consecutive straight lines, going through each of the dots once. So draw a straight line… from the end of that, draw another straight line… from the end of that draw a third straight line… and from the end of that draw one more straight line that returns to your starting point. Every dot must be crossed once. Can you do it? Your solution should give the number of the dots in each of your four lines. *
{1,2,3,4}{4,5}{7,8,9,10}{6,1}
The trick is that the lines go beyond 4, 5 , and 10
Am I right?
Bingo. Well done. Thinking “outside the box” pays off for this one.
{3-4-3-2-1-2} - {2-5-7} - {7-8-9-10} - {10-6-3}
Yes, it involves going back over a line at the beginning but that does not violate the rules of drawing a straight line. It also complies with the “consecutive” line rule.
Except, of course, for the "going through each of the dots once" part…
Yeah!!
Hey Gerard, where’s my new P3C for getting it right?
Ah yes, I was focused more on the “each dot MUST be crossed once” part.
saw that others posted, but didn’t look! Honest!
{1,2,3,4}, {6,7},{7,8,9,10}, {10,5}