Print

Please login or register.
1 Hour 1 Day 1 Week 1 Month Forever
Login with username, password and session length

[Kirian]

More nerdy online games!  Now you, too, can relive 9th grade geometry class.

http://euclidthegame.org

[Watno]

Nearly failed lvl 5... I feel stupid.

[Watno]

I just realized I didn't learn how to properly construct stuff in school.

I'm pretty sure we just assumed a compass could just take the length of a line segment and draw a circle of taht length around any point.

[Kirian]

I just realized I didn't learn how to properly construct stuff in school.

I'm pretty sure we just assumed a compass could just take the length of a line segment and draw a circle of taht length around any point.

Yeah, I think we did that too.  But I'm trying to make my brain remember information from 23 years ago...

[liopoil]

It makes me feel really bad when I draw unnecessary lines... still, very cool. Have you guys finished it?

[nkirbit]

Is anyone here good with STATA?  I'm not, and have to do something in it anyway, and just need help with what should be a simple function.. but can't quite find the answer I'm looking for.

[Watno]

Stuck at lvl 20

[pacovf]

Stuck at lvl 20

Hint, although there is a faster solution in the comments in that site:

Some judicious use of Thales/similitudes should help you find out where the outer tangents intersect each other, and then you just have to draw the tangent to the circle through that point. The same applies for the inner tangents, although the picture does get more crowded.

20 is the last level. I found 11 (or was it 13? The one where you have to trisect a distance) and 19 interesting too

Inb4 Ozle posts more cryptic puzzles.

[Witherweaver]

Level 20 is to construct a simple closed curve that fails to partition the space into an "inside" and an "outside".

...Or prove that such a construction is impossible.

[Polk5440]

Is anyone here good with STATA? 

Yes.

Will I remember to check this thread again to answer your question....? Hmmm. Maybe.

[Tables]

Did anyone else find level 18 has mechanical issues? The simplest way to do it seems to be scuppered by the translate tool not working properly. You need to draw three circles tangential to each other all with radius AB. The obvious starting move is to translate AB to the point B, giving circle centered at C. But you can't translate AB onto the point B, forcing you to do something slightly more convoluted to get what should be a simple point.

[heron]

Did anyone else find level 18 has mechanical issues? The simplest way to do it seems to be scuppered by the translate tool not working properly. You need to draw three circles tangential to each other all with radius AB. The obvious starting move is to translate AB to the point B, giving circle centered at C. But you can't translate AB onto the point B, forcing you to do something slightly more convoluted to get what should be a simple point.

Yea, that's why I stopped at level 18.

[Tables]

It's not really too hard to work around, but it's a little annoying. Just finished the game, took about 70 minutes, which considering I should really have been in bed around 70 minutes ago, I don't think is too bad. Thanks a lot, Kirian.

[eHalcyon]

It's not really too hard to work around, but it's a little annoying. Just finished the game, took about 70 minutes, which considering I should really have been in bed around 70 minutes ago, I don't think is too bad. Thanks a lot, Kirian.

How many levels are there in total?  It was taking too long for me to figure out level 15 so I'm taking a break for a little while.

Edit: oh, somebody already said 20 was the last one.  And 15 wasn't hard at all.

Edit: and now I get to be stuck on 20 as well.

[Kirian]

Did anyone else find level 18 has mechanical issues? The simplest way to do it seems to be scuppered by the translate tool not working properly. You need to draw three circles tangential to each other all with radius AB. The obvious starting move is to translate AB to the point B, giving circle centered at C. But you can't translate AB onto the point B, forcing you to do something slightly more convoluted to get what should be a simple point.

If you go look at Level 8 where you get the translate tool, the construction given done in that level wouldn't work to do the translation you're trying to do.  But that translation is quicker to do by extending segment AB into a line, then drawing the circle of the same radius centered on B.

I'm still having difficulty with 20, though I hadn't even gotten through level 6 when I first posted it... had to work around making time for other stuff!

[eHalcyon]

Did anyone else find level 18 has mechanical issues? The simplest way to do it seems to be scuppered by the translate tool not working properly. You need to draw three circles tangential to each other all with radius AB. The obvious starting move is to translate AB to the point B, giving circle centered at C. But you can't translate AB onto the point B, forcing you to do something slightly more convoluted to get what should be a simple point.

If you go look at Level 8 where you get the translate tool, the construction given done in that level wouldn't work to do the translation you're trying to do.  But that translation is quicker to do by extending segment AB into a line, then drawing the circle of the same radius centered on B.

I'm still having difficulty with 20, though I hadn't even gotten through level 6 when I first posted it... had to work around making time for other stuff!

You can also translate the segment into a random segment in empty space, then translate the random segment where you actually want it.

That was a fun problem though.  I just drew a bunch of circles.

Edit: still stuck on 20... I think I know how to find the point where the inner tangents would cross, but I don't know how to use that to find the actual tangent line.  And same for the point where the outer tangents would cross... ugh.

Edit: Got it.  Not sure why it works though. 

[eHalcyon]

Stuck at lvl 20

Hint, although there is a faster solution in the comments in that site:

Some judicious use of Thales/similitudes should help you find out where the outer tangents intersect each other, and then you just have to draw the tangent to the circle through that point. The same applies for the inner tangents, although the picture does get more crowded.

20 is the last level. I found 11 (or was it 13? The one where you have to trisect a distance) and 19 interesting too

Inb4 Ozle posts more cryptic puzzles.

The trisect one was annoying because it wouldn't recognize the intersect I created.  I had to draw two superfluous lines before it would let me place the intersection.

Someone in the comments did the same solution as I did:

http://a.disquscdn.com/uploads/mediaembed/images/1105/3330/original.jpg?w=800&h

but I can't place the points J and K.  My workaround was:

Place points where triangle ABC intersects line HI.
Draw lines perpendicular to HI through each of those two points.  These lines also trisect AB.
NOW place those trisecting points.

Not sure how the commenter got it to work when I couldn't.  Just a weird bug I guess.

[WalrusMcFishSr]

Is there a better way to solve 19 than using the properties of the centroid of a triangle? I had to reach deep into my lost geometry knowledge for that one haha

[pacovf]

Stuck at lvl 20

Hint, although there is a faster solution in the comments in that site:

Some judicious use of Thales/similitudes should help you find out where the outer tangents intersect each other, and then you just have to draw the tangent to the circle through that point. The same applies for the inner tangents, although the picture does get more crowded.

20 is the last level. I found 11 (or was it 13? The one where you have to trisect a distance) and 19 interesting too

Inb4 Ozle posts more cryptic puzzles.

I'll correct my previous post: level 11, where you have to move an angle around, was interesting. Didn't find any pretty way to do it, though, just translated the two segments and then drew a bunch of circles and perpendicular lines. EDIT: ok, no, found a way cleaner way to do it. Circles are cool.

I think I did 19 as Walrus, radius of circumscribed circle of equilateral triangle is 1/sqrt(3) of side, rinse and repeat. Was a complete mess by the end eHalcyon's solution is much prettier! I did encounter the same bug he did, the segment AB didn't want to intersect with my other stuff, so I had to draw extra lines.

[AndrewisFTTW]

I got a D in geometry in 10th grade so count me out of this one. Have fun though!

[WalrusMcFishSr]

Compass and straight edge constructions were literally my least favorite part of math ever. Had they been presented this manner I might have actually enjoyed them!

[Watno]

TES:Skyrim is currently on Sale on Steam.

I can either get the base game for €3,74 or the legendary edition (which contains the 3 downloadable expansion packs) for €10,19.
I'm pretty sure the legendary edition isn't worth it, can anyone confirm?

Are there ay plugins that won't work without the expansions?

[enfynet]

I picked up the Legendary edition for my Xbox off amazon for $20 a while back. I really enjoyed building my own house. I don't know much about the other DLC parts though.

[scott_pilgrim]

Is there a better way to solve 19 than using the properties of the centroid of a triangle? I had to reach deep into my lost geometry knowledge for that one haha

My solution: Draw a line parallel to AB, and place points C, D, E, and F on it so that CD=DE=EF.  Then make a ray through AC and BF; label the point where they (AC and BF) intersect G.  Then make rays through GD and GE, and wherever those rays intersect AB will trisect AB.

Basically, you make your own trisected line segment, and then scale it up to AB.

[Watno]

For 19, I used the fact that the centroid of a triangle partitions the medians 2:1