View Full Version : Here's a Puzzler!


PDH50
10-05-06, 02:16 PM
Recently i was shown this puzzle that i have not been able to get for the life of me. Try this out and tell me what you think. Its a mensa like puzzle, and everyone that i know who has tried it has been stumped.

The way the puzzle works is, you have a five point star, one with five triangles for each point, and pentagon in the middle.

from this triangle you have to add two straight lines to make these five triangles become 10

P.S. Let me know if you solve it

geodesic
10-05-06, 02:39 PM
http://img423.imageshack.us/img423/2223/starai4.th.gif (http://img423.imageshack.us/my.php?image=starai4.gif)
Et voila! 10 triangles, no added lines. :cool:

PDH50
10-05-06, 02:40 PM
Yeah but the problem is that this only has 9 triangles.

look carefully you'll see

PDH50
10-05-06, 02:41 PM
Et voila! 10 triangles, no added lines.

with regards to that you need to have no overlap of triangles, meaning that there cannot be lines within

PDH50
10-05-06, 02:48 PM
Yeah but the problem is that this only has 9 triangles.

look carefully you'll see


nevermind added this by mistake

phonetic
10-05-06, 03:00 PM
http://img118.imageshack.us/img118/5963/trianglewj2.jpg

That's my take on it, unless i've broken a rule. Probably :D

phonetic
10-05-06, 03:40 PM
I see at least 14 triangles there, we beigin with 9 thus need to make only one extra

1 extra by dividing apex triangle in two with one line from apex triangle to first line of pentagram, stick second across 1/3 of pent thus creating no extra tiangles, assuming this is allowed?= 10

Good point.

Your 1/3 pent sounds a bit too easy to be the answer, but maybe it is :confused: :)

phonetic
10-05-06, 03:44 PM
http://img420.imageshack.us/img420/2886/trianglejc3.jpg

no that was wrong, that 1/3 line made another triangle, see edit, my edit is correct answer

I take the one triangle, and split it into 3 parts with two lines, only two of those parts are triangles. So in total only one extra triangle added

Eh? lol, finding it a bit tricky to visualise.

Ah I see what you mean. Putting a 'T' shape with 2 lines in the top triangle? Yeah, that could be it.

phonetic
10-05-06, 03:54 PM
I did wonder what you were on about and that was my attempt btw, not a visualisation of yours ^

I'm sure it is somethingly annoyingly simple and once (if) we find out, we'll be a tad pissed off.

phonetic
10-05-06, 04:00 PM
argh, stop editing your posts so quickly.. :(

I take it you decided this would have 11 triangles?
http://img175.imageshack.us/img175/7870/tortriap2.jpg

True, but I'll be extremely pissed off if that's the answer. I hate those shoddy conclusions to these kind of things.

cato
10-05-06, 04:03 PM
you guys suck, I guess it takes an engineer. I got it in like 1 minute.http://img172.imageshack.us/img172/8271/triangleyg4.png
the star already has 8 triangles in it, you only need to add 2 more, but you don't want them to accidentally make too many, therefore you have to put them in such a place as to have them not make other triangles.

exceuse the poor drawing, I just borrowed the existing one, and added some lines real quick in mspaint.

phonetic
10-05-06, 04:04 PM
http://img145.imageshack.us/img145/5890/humlm7.jpg

cato
10-05-06, 04:06 PM
yours would also work, unless there is a rule about draing them outside.

phonetic
10-05-06, 04:07 PM
*deletes all his posts*

Ah, well done, Cato :)

phonetic
10-05-06, 04:08 PM
It wouldn't I don't think, just realised that makes 3 more triangles. One inside main star shape, one outside and one combining the two.

Theoryofrelativity
10-05-06, 04:10 PM
argh, stop editing your posts so quickly.. :(

I take it you decided this would have 11 triangles?
http://img175.imageshack.us/img175/7870/tortriap2.jpg

True, but I'll be extremely pissed off if that's the answer. I hate those shoddy conclusions to these kind of things.

now I look at again, min 12, hard to visualise

Theoryofrelativity
10-05-06, 04:16 PM
you guys suck, I guess it takes an engineer. I got it in like 1 minute.http://img172.imageshack.us/img172/8271/triangleyg4.png
the star already has 8 triangles in it, you only need to add 2 more, but you don't want them to accidentally make too many, therefore you have to put them in such a place as to have them not make other triangles.

exceuse the poor drawing, I just borrowed the existing one, and added some lines real quick in mspaint.

wrong the original had 9 triangles so now you made 11,

Theoryofrelativity
10-05-06, 04:18 PM
http://img145.imageshack.us/img145/5890/humlm7.jpg

= 11

phonetic
10-05-06, 04:32 PM
http://img89.imageshack.us/img89/2083/tortsx7.jpg

Theoryofrelativity
10-05-06, 04:34 PM
http://img89.imageshack.us/img89/2083/tortsx7.jpg

yep thats it, only one extra triangle created and two lines used

phonetic
10-05-06, 04:43 PM
http://img90.imageshack.us/img90/3033/numbpointswy3.jpg

Where are you getting 9 original triangles from?

I only see 8.

1-3-4
2-3-6
4-5-7
6-9-8
7-8-10
10-4-2
9-3-5
2-5-8

lixluke
10-05-06, 04:46 PM
Holy Shit I Figured It Out!!!!

Theoryofrelativity
10-05-06, 04:47 PM
http://img90.imageshack.us/img90/3033/numbpointswy3.jpg

Where are you getting 9 original triangles from?

I only see 8.

1-3-4
2-3-6
4-5-7
6-9-8
7-8-10
10-4-2
9-3-5
2-5-8

there are 5 little ones and 4 large ones, I can't do the diagrams like you do, but look at the large ones and go round systematically and you'll see the fourth.

geodesic
10-05-06, 04:47 PM
you guys suck, I guess it takes an engineer. I got it in like 1 minute. the star already has 8 triangles in it
we beigin with 9 thus need to make only one extra
Firstly, this pentagram, no lines added, has fivefold rotational symmetry - the number of triangles you can make from it must be a multiple of five. I guess it takes a physicist. :rolleyes:
http://img423.imageshack.us/img423/2223/starai4.th.gif (http://img423.imageshack.us/my.php?image=starai4.gif)
However, the reply to my post was that the triangles cannot overlap - which admittedly was not stated in the original question.

exceuse the poor drawing, I just borrowed the existing one, and added some lines real quick in mspaint.You're welcome :mad:

Theoryofrelativity
10-05-06, 04:49 PM
Phonetic you missed 1,6,10 = 9 triangles

Meanwhile we have been solving a puzzle that most likely does not exist! We were not meant top use the larger triangles!

The answer to the puzzle he poses can be seen in this link:

http://www.creativepuzzels.nl/spel/speel1/speel2/5star-2.htm

lixluke
10-05-06, 04:50 PM
PLEASE EXCUSE THE BAD DRAWING. I'LL TRY TO REDRAW IT BETTER.
http://img291.imageshack.us/img291/1013/csstardm7.png

I really AM a genius.

Theoryofrelativity
10-05-06, 04:51 PM
Firstly, this pentagram, no lines added, has fivefold rotational symmetry - the number of triangles you can make from it must be a multiple of five. I guess it takes a physicist. :rolleyes:
http://img423.imageshack.us/img423/2223/starai4.th.gif (http://img423.imageshack.us/my.php?image=starai4.gif)
However, the reply to my post was that the triangles cannot overlap - which admittedly was not stated in the original question.
You're welcome :mad:

I see the 5 smaller 9as does everyone) and i see these larger ones:

2,5,8
3,5,9
2,4, 10
1,6,10

where is fifth large one?

phonetic
10-05-06, 04:53 PM
Use the numbering to explain where they are then, ToR. I still don't see it =(

Ah, no overlapping.. So there are 5 to start with. Did the dashed line just happen to be in the pic you found?

Even more of a headfuck.

phonetic
10-05-06, 04:55 PM
Right.. argh

I hate this.

I think cool_skill has it. That gives me closure. Well done, cs.
I would say it couldn't have gone to a nicer guy, but you are a bit of a tosser :)

imaplanck.
10-05-06, 04:57 PM
PLEASE EXCUSE THE BAD DRAWING. I'LL TRY TO REDRAW IT BETTER.
http://img291.imageshack.us/img291/1013/csstardm7.png

I really AM a genius.

wELL Done man!

imaplanck.
10-05-06, 04:58 PM
Wait a minute 10 isn't a triangle.

Theoryofrelativity
10-05-06, 04:59 PM
PLEASE EXCUSE THE BAD DRAWING. I'LL TRY TO REDRAW IT BETTER.
http://img291.imageshack.us/img291/1013/csstardm7.png

I really AM a genius.

number 10 is not a traingle, triangles have only 3 sides

put your genius in a box

the answer is seen here

http://www.creativepuzzels.nl/spel/speel1/speel2/5star-2.htm

Theoryofrelativity
10-05-06, 05:03 PM
we all forgot the question,

we are only supposed to make the 5 little triangles 10, and NOT meant to incude all those BIG triangles. The thread dude threw us off by saying, 'there are 9' THUS throwing us off original question which only related to the smaller triangles! Grrrrrrrrr

see link

http://www.creativepuzzels.nl/spel/speel1/speel2/5star-2.htm

the question was posed ambiguously should have been thus:

from link:

"The Five-Pointed Star

Here you see a five-pointed star which has 5 triangles and a pentagon.

1. Can you by adding two straight lines get 10 triangles inside the star?

2. Can you, by adding two straight lines, get exactly 10 separate triangles?

3. How many triangles can you count maximal, if you added two straight lines ?


Special Thanks to David Harry
Special Thanks to Justin Leck "

refer to link for solutions

imaplanck.
10-05-06, 05:03 PM
http://i94.photobucket.com/albums/l106/imaplanck/jmhm.jpg

geodesic
10-05-06, 05:07 PM
I got bored and cheated for the second one. The answer for the first one makes no sense - there are already 10 triangles inside the pentagram. Couldn't be bothered with the third. Fourth was easy, got it straight away.

Theoryofrelativity
10-05-06, 05:11 PM
http://i94.photobucket.com/albums/l106/imaplanck/jmhm.jpg

lol!

geodesic
10-05-06, 05:13 PM
where is fifth large one?
Complete list of big triangles:
1-7-9
2-5-8
1-6-10
2-4-10
3-5-9
http://img90.imageshack.us/img90/3033/numbpointswy3.jpg

Theoryofrelativity
10-05-06, 05:15 PM
Complete list of big triangles:
1-7-9
2-5-8
1-6-10
2-4-10
3-5-9
http://img90.imageshack.us/img90/3033/numbpointswy3.jpg

funny seems so obvious when you can see it :) we are all daft as brushes anyway, messing about with those larger ones grrrrrrrrrrrrr

your fault I reckon, saying you had 10 already! yeh we'll blame you :)

phonetic
10-05-06, 05:18 PM
http://www.creativepuzzels.nl/spel/speel1/images2/pentagram.gif
CLOSURE

Thank god for that. I'm quite disappointed I've said well done to about 4 people now. I don't seem to question the answer too much if they seem sure of it. Probably means I'm susceptible to being conned or lied to. Anyway... phew.

geodesic
10-05-06, 05:19 PM
your fault I reckon, saying you had 10 already! yeh we'll blame you :)
Ah, the life of a genius is beset by many who seek to disparage their intelligence. :p

phonetic
10-05-06, 05:24 PM
Dammit.
Sorry about that.
HERE:

It's over, and learn how to use the damn line tool!

Theoryofrelativity
10-05-06, 05:25 PM
http://www.creativepuzzels.nl/spel/speel1/images2/pentagram.gif
CLOSURE

Thank god for that. I'm quite disappointed I've said well done to about 4 people now. I don't seem to question the answer too much if they seem sure of it. Probably means I'm susceptible to being conned or lied to. Anyway... phew.

Nope, you are easily led by men, you never once congratulated me. I wasn't right lol but at least I found the elusive solution that you now post here without credit to moi and my superior googling! ;)

phonetic
10-05-06, 05:27 PM
Uh huh, makes us equal for the lack of credit re my drawings :P

Easily led by men! I wonder where that will take me. Maybe I should ask Genji...

lixluke
10-05-06, 05:28 PM
http://www.creativepuzzels.nl/spel/speel1/images2/pentagram.gif
CLOSURE

Thank god for that. I'm quite disappointed I've said well done to about 4 people now. I don't seem to question the answer too much if they seem sure of it. Probably means I'm susceptible to being conned or lied to. Anyway... phew.
NM.
You win.

lixluke
10-05-06, 05:30 PM
Nope, you are easily led by men, you never once congratulated me. I wasn't right lol but at least I found the elusive solution that you now post here without credit to moi and my superior googling! ;)
WTF?
You bastards goooogled the answer?
Cheaters!
You lose.
CS wins again by default.

phonetic
10-05-06, 05:36 PM
lmao

cato
10-05-06, 05:46 PM
sorry for not thinking it more it through more throughly. however, my methodology was good, if only I knew the rules and counted right =].

I am ashamed for running through it so quickly and making a fool of myself.

lixluke
10-05-06, 06:04 PM
You should be. All of you should be. I'm very disappointed.

vslayer
10-05-06, 06:44 PM
put a number 1-5 on each tip of the shape, in a clockwise direction. then draw a straight line between 1,2 2,3

2 extra triangles.

PDH50
10-05-06, 08:36 PM
Yeah alot of these would work however the triangles supposedly are not to overlap, therefor there can't be any lines within a trangle that can count, so you start with 5 and need 10
making all of these wrong

PDH50
10-05-06, 08:38 PM
lmao


Wow surprised anyone even figured it out... what did you google to find that??...

i tried after i gave up lol

PDH50
10-05-06, 08:39 PM
Yeah alot of these would work however the triangles supposedly are not to overlap, therefor there can't be any lines within a trangle that can count, so you start with 5 and need 10
making all of these wrong
sorry most

PDH50
10-05-06, 09:05 PM
Phonetic has this one. Well done this had stumpt me for quite a while. If anyone has another puzzle of any kind feel free to post it

lixluke
10-05-06, 09:19 PM
Phonetic has this one.
Bull crap. Him and TOR cheated. Cool Skill has this one based on the fact that I would have gotten it had they not given it away.

TruthSeeker
10-05-06, 09:34 PM
Riiiiiiiiiight...! :rolleyes:

PDH50
10-05-06, 09:38 PM
well good work for you too i guess it was an interesting puzzle though none the less
i don't have any more though so if anyone knows of any feel free to post it

sargentlard
10-05-06, 09:54 PM
put a number 1-5 on each tip of the shape, in a clockwise direction. then draw a straight line between 1,2 2,3

2 extra triangles.


Good idea but the traingles can't overlap, but nice.

lixluke
10-05-06, 10:02 PM
I have no idea what they were talking about with the overlapping triangles. It is clear that this puzzle cannot be about overlapping triangles because you do not need to draw any lines through the star to get 10 triangles. A plain star already has 10 triangles within it.

PDH50
10-05-06, 10:15 PM
I have no idea what they were talking about with the overlapping triangles. It is clear that this puzzle cannot be about overlapping triangles because you do not need to draw any lines through the star to get 10 triangles. A plain star already has 10 triangles within it.


The thing is that the 10 triangles must be separate from eachother, meaning that there cannot be anylines that are inside the triangle

sargentlard
10-05-06, 11:27 PM
A frog falls into a deep well and tries to climb out. Every day he climbs 10 metres, but slides back 5 metres. If the well is 50 metres deep, how long does it take the frog to get out?

Someone help. I got 9 days but it can't be that simple.

lixluke
10-06-06, 12:02 AM
I got 9.

domesticated om
10-06-06, 12:08 AM
A frog falls into a deep well and tries to climb out. Every day he climbs 10 metres, but slides back 5 metres. If the well is 50 metres deep, how long does it take the frog to get out?

Someone help. I got 9 days but it can't be that simple.

Doesn't this mean that the frog climbs 5 metres a day? If so, wouldn't it take 10 days to climb 50 metres?

Absane
10-06-06, 12:11 AM
Doesn't this mean that the frog climbs 5 metres a day? If so, wouldn't it take 10 days to climb 50 metres?

The frog averages 5 meters a day.

So, to climb 40 meters it takes him 8 days. On day 9, he climbs up 10 meters and makes it to the top. At this point he doesn't fall back down unless he is drunk.

domesticated om
10-06-06, 12:21 AM
what if the frog slides every time it takes a step, and only goes a small amount of distance (the feet travel accross 10 metres of surface, but only accomplishes 5 metres of distance)?

Theoryofrelativity
10-06-06, 02:27 AM
Wow surprised anyone even figured it out... what did you google to find that??...

i tried after i gave up lol

I found IT, have you not read the thread, I provided the link, he copied the image from the link. damn you guys don't like to give a girl any credit do you.

Theoryofrelativity
10-06-06, 02:33 AM
PDHA next time you set a puzzle, word it correctly and stress the rules, no good half way through saying you can't do this you can't do that.

The link I found stressed how the puzzle should have been worded in order to remove ambiguity.

The way to get 10 triangles without lines overlapping from the star is to put a 'T' in top triangle, but this involves using the larger triangles in addition to the smaller ones.

COOL SKILL
No one cheated here, I put the answer link in after much genuine deliberation re the answer, stressing the answer ONLY via the link, I did not take it as my own work. Phonetic copied the diagram but never claimed it was his work, merely added the image for helpfullness I presume? You were wrong, get over it. Cato was the biggest ass becuase he went to such great lengths to tell us all how stupid we were, hilarious. Myself and Phonetic played a nice game, being equally crap but supportive. And yes credit to P for his fabulous diagrams.

lixluke
10-06-06, 05:13 AM
I do not give any credit to any total loser other than being a total loser for googling the answer. Cheating is when you google the bloody answer. You might claim to yourself that you did not cheat. Then again, you might pis on your own face, and claim it's raining.
Nonetheless, cool skill wins again.

geodesic
10-06-06, 09:43 AM
Cheating is when you Google the answer and claim you did it by yourself, which no-one did.

Theoryofrelativity
10-06-06, 09:45 AM
I do not give any credit to any total loser other than being a total loser for googling the answer. Cheating is when you google the bloody answer. You might claim to yourself that you did not cheat. Then again, you might pis on your own face, and claim it's raining.
Nonetheless, cool skill wins again.

cool skill you are clearly retarded

geodesic
10-06-06, 09:52 AM
I take it you're not going for diplomacy here then? :D

Theoryofrelativity
10-06-06, 09:56 AM
I take it you're not going for diplomacy here then? :D

can't reason with the unreasonable so when it comes to CS
I go for the 'reply in kind' tactic. This is a response cool skill will relate to as he frequently calls others retarded. It is an expression I reserve for him.

melodicbard
10-06-06, 10:20 AM
I said to myself, WTF, do I miss something?
It takes nearly two pages for people debating on whether there are 8 or 9 triangles in the original star!

Is the symmetry so hard to visualize? I am really amused.

lixluke
10-06-06, 12:38 PM
cool skill you are clearly retarded
Get real. You're the loser with no life that cheated. Googling the answer is not the same thing as solving it by yourself. Ergo, use cheats, walkthroughs, whatever. If you cannot solve the puzzle with out cheating, it is not my fault for winning. Again. It doesn't matter wheter you admitted it or pretended to solve it yourself. Bottom line you are a Loser with a capital NL for No Life.

geodesic
10-06-06, 01:07 PM
can't reason with the unreasonableI guess cool skill just proved your point :rolleyes:

Theoryofrelativity
10-06-06, 02:22 PM
I guess cool skill just proved your point :rolleyes:

as I expected :)

lixluke
10-06-06, 02:41 PM
Irrelevant. The unreasonable is you.

TruthSeeker
10-06-06, 07:18 PM
The frog puzzle is sooooo easy. The first time I heard it was when I was 12. :rolleyes:

It was with a snail, btw... :D