Dots and Crosses
Dots and Crosses
(OP)
Starting with a grid of dots, 5x5 like this:

Can you draw a cross that encloses 5 dots, and leaves 8 dots outside the cross?
Below is a failed example. There are five dots in the cross, but only 4 outside:

Can you draw the cross that works?
EDIT: THE ORIGINAL INTENT WAS TO CONCEAL THE ANSWER INSIDE A CLOSED "SPOILER" WINDOW.
SINCE THE WINDOW REMAINED OPEN, THE FIRST MEMBERS TO VIEW THIS PUZZLE SAW THE ANSWER RIGHT AWAY. SORRY!
I HAVE DELETED THE ANSWER, AND WILL POST THE ANSWER IN A SEPARATE POST LATER.
STF

Can you draw a cross that encloses 5 dots, and leaves 8 dots outside the cross?
Below is a failed example. There are five dots in the cross, but only 4 outside:

Can you draw the cross that works?
EDIT: THE ORIGINAL INTENT WAS TO CONCEAL THE ANSWER INSIDE A CLOSED "SPOILER" WINDOW.
SINCE THE WINDOW REMAINED OPEN, THE FIRST MEMBERS TO VIEW THIS PUZZLE SAW THE ANSWER RIGHT AWAY. SORRY!
I HAVE DELETED THE ANSWER, AND WILL POST THE ANSWER IN A SEPARATE POST LATER.
STF





RE: Dots and Crosses
Cheers
Greg Locock
New here? Try reading these, they might help FAQ731-376: Eng-Tips.com Forum Policies http://eng-tips.com/market.cfm?
RE: Dots and Crosses
STF
RE: Dots and Crosses
Cheers
Greg Locock
New here? Try reading these, they might help FAQ731-376: Eng-Tips.com Forum Policies http://eng-tips.com/market.cfm?
RE: Dots and Crosses
"For every expert there is an equal and opposite expert"
Arthur C. Clarke Profiles of the future
RE: Dots and Crosses
RE: Dots and Crosses
Spoiler:
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
5 of them must stay inside.
8 of them must stay outside.
That means the outline of the cross must go thru exactly 12 dots.
So here is another one.
"For every expert there is an equal and opposite expert"
Arthur C. Clarke Profiles of the future
RE: Dots and Crosses
Cheers
Greg Locock
New here? Try reading these, they might help FAQ731-376: Eng-Tips.com Forum Policies http://eng-tips.com/market.cfm?
RE: Dots and Crosses
"For every expert there is an equal and opposite expert"
Arthur C. Clarke Profiles of the future
RE: Dots and Crosses
You guys are great non-linear thinkers, even when thinking about lines. CheckerHater scores 3 points. 1 for getting the "basic" solution, and 2 for the bonus solution.
GregLocock may have come up with the same or different solutions until he posts them so we'll never know.
I was also trying some non-right-angle corners and passing out of the boundary, but I didn't get far. Now that you and IRStuff have suggested non-orthogonal lines, I got this:
STF
RE: Dots and Crosses
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
I think you just added another "non-requirement": lines don't have to be straight.
How many points am I getting for this solution:
http://files.engineering.com/getfile.aspx?folder=9...
"For every expert there is an equal and opposite expert"
Arthur C. Clarke Profiles of the future
RE: Dots and Crosses
or this
or this
There's probably others that use the same logic
Cheers
Greg Locock
New here? Try reading these, they might help FAQ731-376: Eng-Tips.com Forum Policies http://eng-tips.com/market.cfm?
RE: Dots and Crosses
RE: Dots and Crosses
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
My puzzle was way too easy for you guys!
STF
RE: Dots and Crosses
Being able to get to a solution is very satisfying
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
another day in paradise, or is paradise one day closer ?
RE: Dots and Crosses
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm
RE: Dots and Crosses
Yes, that was the "original" correct answer, that CheckerHater got on answer 5. Then all these other guys with tesseracts in their brains showed up...
STF
RE: Dots and Crosses
Cheers
Greg Locock
New here? Try reading these, they might help FAQ731-376: Eng-Tips.com Forum Policies http://eng-tips.com/market.cfm?
RE: Dots and Crosses
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers Entire Forum list http://www.eng-tips.com/forumlist.cfm