Classic puzzle - Page 2

hhh · 2005-07-30, 09:23

Quote:

Originally Posted by akruppa

Or hhh assumes that the dots have positive area.

Alex

Well, dots are not points, are they? <*_*>

H.
And:

Quote:

Originally Posted by rogue

That might be true, ...

Numbers · 2005-07-30, 19:46

As pointed out by rogue, in a spherical geometry the nine dots could lie on three adjacent lines of “longitude”, so that a straight line passing through the top row of dots could join at the pole to another straight line passing through the middle row of dots which meets at the opposite pole another straight line passing through the bottom row of dots. I see nothing in the statement of the problem that excludes this as a solution. What I don’t understand is Alex’ comment about the dots possibly having positive area. Perhaps I’m missing something, (as usual) but I can’t see how thinking about them as being (as Wacky pointed out) nine trees in an orchard, or even as nine spaceships rather than as nine Euclidean points changes the solution. Would anyone care to enlighten me?

akruppa · 2005-07-30, 20:14

If they have area, you can slant the lines going through them.

Alex

Numbers · 2005-07-30, 20:23

Excellent!

hhh · 2005-07-31, 08:34

The next tightening should be easy, now: one stroke only.

H.

Numbers · 2005-07-31, 09:57

How wide am I allowed to make my line?

Orgasmic Troll · 2005-07-31, 22:43

What exactly is the point of degenerating this puzzle to the point of inanity?

hhh · 2005-08-01, 02:41

Quote:

Originally Posted by TravisT

What exactly is the point of degenerating this puzzle to the point of inanity?

OK let's close the thread, if nobody has any objections. Remains the really perturbing question: Am I a crank?

CU, H.

rogue · 2005-08-01, 12:16

Quote:

Originally Posted by hhh

OK let's close the thread, if nobody has any objections. Remains the really perturbing question: Am I a crank?

CU, H.

I don't think you are since your original question elicited some interesting responses. Did you have a solution in mind when you asked the question?

hhh · 2005-08-01, 23:21

I could say no, but I had akruppas solution in mind. And I made sure that we had spoken of dots, not points. So, I am not? What a pity!

H.

fetofs · 2005-08-16, 12:04

Quote:

Originally Posted by mfgoode

Try it any way but you must get OUT of the square. Most people restrict themselves only within the square .

Can you connect the points with 4 straight lines without taking your pen from the paper and without leaving the square boundaries????

Oh, I'm being a crank now...

2005-07-30, 20:14	#14
akruppa "Nancy" Aug 2002 Alexandria 2,467 Posts	If they have area, you can slant the lines going through them. Alex Attached Thumbnails

2005-07-31, 08:34	#16
hhh Jun 2005 373 Posts	The next tightening should be easy, now: one stroke only. H. Last fiddled with by hhh on 2005-07-31 at 08:36

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Classic problem: Four 4's	Ken_g6	Puzzles	106	2021-05-04 15:40
Suggestions for the "Classic Summary" page	davieddy	PrimeNet	26	2011-06-13 09:38
"Classic" (colourful) Status report	davieddy	PrimeNet	6	2009-10-04 08:33
Dot puzzle	nibble4bits	Puzzles	37	2006-02-27 09:35
Classic: Hats puzzle	fetofs	Puzzles	7	2005-10-16 11:45

2005-07-30, 19:46	#13
Numbers Jun 2005 Near Beetlegeuse 2²×97 Posts	As pointed out by rogue, in a spherical geometry the nine dots could lie on three adjacent lines of “longitude”, so that a straight line passing through the top row of dots could join at the pole to another straight line passing through the middle row of dots which meets at the opposite pole another straight line passing through the bottom row of dots. I see nothing in the statement of the problem that excludes this as a solution. What I don’t understand is Alex’ comment about the dots possibly having positive area. Perhaps I’m missing something, (as usual) but I can’t see how thinking about them as being (as Wacky pointed out) nine trees in an orchard, or even as nine spaceships rather than as nine Euclidean points changes the solution. Would anyone care to enlighten me?

2005-07-30, 20:23	#15
Numbers Jun 2005 Near Beetlegeuse 604₈ Posts	Excellent!

2005-07-31, 09:57	#17
Numbers Jun 2005 Near Beetlegeuse 388₁₀ Posts	How wide am I allowed to make my line?

2005-07-31, 22:43	#18
Orgasmic Troll Cranksta Rap Ayatollah Jul 2003 641 Posts	What exactly is the point of degenerating this puzzle to the point of inanity?

2005-08-01, 23:21	#21
hhh Jun 2005 373 Posts	I could say no, but I had akruppas solution in mind. And I made sure that we had spoken of dots, not points. So, I am not? What a pity! H.