# Thread: Can you think "outside the box?" test...

1. I know the answer for having taken this test some 20 years ago (I failed then).

2. Banned
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Dec 2005
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Put the barometer into a time capsule, along with a note asking future time travellers to look up how tall the building was and zap you the answer back through time to about five minutes from now.

3. Here's another "dotty" puzzle:

Given the following 12 points:
Code:
```  * *
* * * *
* * * *
* *```
join them with only 5 straight lines drawn without lifting the pen etc.

Tough version: start with the pen on one of the inner 4 dots.

4. Here is one solution for the easy version: solution 1. Start at either one of the top two points.

5. Originally Posted by TheBlackCat
Here is one solution for the easy version: solution 1. Start at either one of the top two points.
Well done TBC - of course by rotation that works for any of the 8 outer points. Now how about the tough version?

6. I got the hard version. You can see it Here. The top three diagrams are 3 additional solutions to the basic version. The bottom drawing is a solution the hard version. The key, apparently, is that no point has more than one line passing through it. For the 4 solutions I have to the basic version, note that the original solution and the far left solution are variations on the same basic idea while the middle and right solutions are also variations on the same basic idea.

7. Great job. My solution to the tough version was basically your top-middle path, where with minor adaptation the path can start on the top right of the inner points.

Not revisiting points is therefore not a requirement for the tough solution, although it would be one hell of an additional constraint.

8. I did it in one line, does a 6 inch paint brush count?

9. Well done, how are you going to get the paint off your monitor?

10. Originally Posted by HenrikOlsen
Use the barometer as a weight on the end of a strong, non-stretching line.
Set it swinging, time the oscillations, calculate length from that.
Or just measure the string.

11. Originally Posted by Joff
Well done, how are you going to get the paint off your monitor?
I used varnish so I could see the results!

12. Banned
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New box to think outside of:

You have a perfect string (no stretch) that's snug around a perfect planet ()no squeeze). You increase the length of the string by 1 inch then pull up. How high off the ground will you lift the string?

13. You have a perfect string (no stretch) that's snug around a perfect planet ()no squeeze). You increase the length of the string by 1 inch then pull up. How high off the ground will you lift the string?
half an inch?

half an inch?
But you could do that by pinching and tightening the rest of the string, and pulling up the one inch loop. Letting the rest of the string loose, you can go much higher. I used a simple excel spreadsheet solver (assuming a spherical planet about the size of the Earth, with a 4000 mile radius), and it seemed to come up with 414.6 inches.

15. Assuming that you want a uniform height to the string: since you increase the circumference by 1 inch, you can increase the radius by 1/2pi inches. In real units that's 4mm.

Edit to add: On the pull-up to the horizon on an Earth-sized planet I got 413 inches (10.49m), close enough the same as hhEb09'1.
Last edited by Joff; 2006-May-02 at 08:35 PM.

16. Established Member
Join Date
Feb 2005
Posts
451
With regards to the dots puzzle on page 1 ....

I drew a Z which is three lines, then a - through the middle for the 4th line. All the dots are now connected.

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