Insane
Level: Master Delver

Rank Points: 154
Registered: 08-06-2005
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oh i feel like such an idiot!

How do you guys do that? give me a hint that will accually help me

it took me 10 minutes to find a 9-triangle solution and i didn't test it yet so it might even be impossible...........

-Insane

Chris
Level: Master Delver
Rank Points: 144
Registered: 08-12-2005
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Insane wrote:
How do you guys do that? give me a hint that will accually help me

I originally misread your request and posted the solution, but I realised you're looking for a hint, not the solution, so:



That should help.

Insane
Level: Master Delver

Rank Points: 154
Registered: 08-06-2005
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hi there,

I thought about the star problem. And I found several solutions witch are all possible, but I fear ther're not all allowed according to the rules canon of this puzzle. So I would like to ask:

(Don't continue to read if you still wanna try alone!!!)









Must the two added lines be straight? E.g. drawing a single circle around the star could solve the prob. And what about the mathematical statement about two (paralell) lines crossing in infinity? Does such stuff count?

Greetings and a nice sunshiny day to all of you.
-insane's cousin

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[Last edited by Insane at 09-21-2005 04:44 PM]

Insane
Level: Master Delver

Rank Points: 154
Registered: 08-06-2005
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besides: how many solutions are there anyway? I found 3 (or infinite if you allow slalom).

But you are right. It takes quite some time to solve this thingy especially If you have a TOO SMALL PICTURE!!!!!!!
What did you say? 30 min? I for sure've beaten that.

sunshiny greetings from
-Insane's cousin

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[Last edited by Insane at 03-18-2006 11:53 AM]

Chris
Level: Master Delver
Rank Points: 144
Registered: 08-12-2005
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Insane wrote:
Must the two added lines be straight?

You have to add 2 straight lines.

drawing a single circle around the star could solve the prob.

Only if your definition of 'triangle' includes shapes with curved sides!

And what about the mathematical statement about two (paralell) lines crossing in infinity?

Triangles don't have parallel sides, no.

besides: how many solutions are there anyway?

There are an infinite number.

You can solve this puzzle without any kind of trickery. You don't need to resort to bent sided triangles of infinite dimension.

agaricus5
Level: Smitemaster
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Chris wrote:
You can solve this puzzle without any kind of trickery. You don't need to resort to bent sided triangles of infinite dimension.

Actually, if you consider a circle to be a polygon with an infinite number of infinitely small edges (at the limit), then you actually don't have a "triangle" if one of its "edges" is an arc of a circle.

____________________________
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Chris
Level: Master Delver
Rank Points: 144
Registered: 08-12-2005
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However you chose to consider a circle, I still don't think you can get away with saying that triangles can have curved sides. Not in polite company anyway.

stigant
Level: Smitemaster

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If an arc of a circle is made up of an infinite number of infintesimally small line segments, then creating a polygon by connecting the endpoints of the arc with one or more straight lines would result in a "polygon" with an infinite number of sides, most of which would be infintesimally small. Since a triangle has 3 sides, this "polygon" would not be a triangle.

Of course, we all seem to be thinking very planely. If you move to spherical geometry in which lines are great-circles of a sphere, then all triangles are made up of 3 non straight lines.

____________________________
Progress Quest Progress

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[Last edited by stigant at 09-28-2005 01:22 AM]

Banjooie
Level: Smitemaster

Rank Points: 1645
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Chris wrote:
However you chose to consider a circle, I still don't think you can get away with saying that triangles can have curved sides. Not in polite company anyway.

Spherical geometry, Chris.

Insane
Level: Master Delver

Rank Points: 154
Registered: 08-06-2005
IP: Logged

Insane wrote:
besides: how many solutions are there anyway? I found 3 (or infinite if you allow slalom).

But you are right. It takes quite some time to solve this thingy especially If you have a TOO SMALL PICTURE!!!!!!!
What did you say? 30 min? I for sure've beaten that.

sunshiny greetings from
-Insane's cousin

Sorry for reviving and old topic such as this, but I consider it very rude to mod down a post I didn't write myself.

-Insane

Maurog
Level: Smitemaster

Rank Points: 1501
Registered: 09-16-2004
IP: Logged

Sorry for having an opinion, but I think it's pretty appropriate in this case. By the looks of it, you gave someone access to your account for whatever reason. This means the responsibility for their actions rests solely upon your shoulders.

____________________________
Slay the living! Raise the dead!
Paint the sky in crimson red!

Rabscuttle
Level: Smitemaster

Rank Points: 2460
Registered: 09-10-2004
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You can't mod down posts that you made yourself, you can only mod down other peoples'.

But seriously, quit complaining. Don't let your cousin use your account if you not prepared to take the consequences for what they post.

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[Last edited by Rabscuttle at 03-20-2007 10:04 PM : 'postroph']

Banjooie
Level: Smitemaster

Rank Points: 1645
Registered: 12-12-2004
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I agree. I won't mod down what insane's cousin said.

I will, however, mod Insane down for being a /dork/, which he just was.

Maurog
Level: Smitemaster

Rank Points: 1501
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I just want to add that it looks mighty suspicious that the "cousin" post was edited 5 months after the whole thread was dead. As Banjooie would say, there are some clever shenanigans going on...

____________________________
Slay the living! Raise the dead!
Paint the sky in crimson red!

Rabscuttle
Level: Smitemaster

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I assume that Insane just bolded 'cousin'.

Rabscuttle
Level: Smitemaster

Rank Points: 2460
Registered: 09-10-2004
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Oh yeah, it's 2007 now. In that case I think the edit (and any machiavellian machinations) are irrelevant.

Briareos
Level: Smitemaster

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Registered: 08-07-2005
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*stabs this thread to death with a spoon*

There, fixed.

____________________________
"I'm not anti-anything, I'm anti-everything, it fits better." - Sole
R.I.P. Robert Feldhoff (1962-2009)