It's an Ill-oooh-zhun!

I saw this a long time ago and was never able to figure it out. I came across it again the other day so I figured I'd post it here to see if anyone else knows how it works.

How can area not equal area?

Click here (http://research.microsoft.com/~philtorr/Work/Images/Triangle.gif) to see the picture.

man this is a good one.... hummm need a few minutes on this one!

The "slope?" of the red and green triangles do not have the same angle, if you look closely you can see it's not a straight line from green -> red, red -> green

got it!

if you draw a strait line between the top right and the bottom left you will see that ion the top figure there's a free space under the line and on the bottom one there's no free space and the line will cut the triangle so all that part that you cut off is the same surface as a free cell.

is this clear enough

Man, you guys are good!

Just cuz I consider myself a bit of a math kinda guy, I decided to confirm what Arnout said mathematically.

The slope of the red triangle (the rise over the run) is 3/8, or 0.375.
The slope of the green triangle is 2/5, or 0.4, so this is indeed where the disparity comes from.

One interesting thing to note then is that the slope of the large "triangle" is 5/13, or 0.385, somewhere in between, as we'd expect.

Furthermore, the areas of the sections look like this:
Yellow Section = 7 units
Light Green Section = 8 units
Green Triangle = 5 units
Red Triangle = 12 units
Total = 32 units

If area of the big "triangle" would be 13*5/2 = 32.5 if it were in fact a triangle.

Thanks guys, that one's bothered me for a while but somehow the fact that each triangular section must have the same slope in order for the whole thing to be a triangle never hit me.

challenges like this let them in any time! i love them especialy when there tough! i love math headeaches!

anyone else has something similar?

OK, maybe this will give you a headache:
If a train, carrying 12 gallons of ice cream, leaves Chicago at 10:00AM, and the freezer stops working, how fast would it have to travel to get to New York before half of the ice cream melts, at a rate of 1 half gallon every 30 minutes? (a carton is one half gallon)

How far is it between Chicago and NY?

500 miles according to maps.com (http://www.maps.com)

Can you please say the distance from New York to Chicago for us Europeans?

What's the matter with 500 miles. Do you want it in kilometers or something?

500 miles = 804.672 kilometers

***? Why did my post get so delayed in arriving? I actually posted it ages before you asked the same question? Weird...

OK, I understand now, Squirm.

At what point in the trip did the freezer stop working? If it was say 3 miles from the destination, nothing need change.
Shawn

OK, just forget that one. I got it from a cartoon when the character was thinking what their teacher might say.

Here's a tough one: http://www.iit.edu/~maxiori/apps/Theseus.html

I DID IT!!! YAY!!!! It took me almost 45 minutes, but I beat it.

You did?! I'm still working at it. Don't tell...
This is really hard...

images/icons/smile.gifimages/icons/smile.gifimages/icons/smile.gifimages/icons/smile.gif

I spent about 30 minutes on it, then cheated and looked up the answer on the internet....poor me. But in that 30 minutes I did get the first 20 moves (or so) right. So I'm not tooo bad.

Volte, one hint OK? Did you have to use d any?

yay finally got it...i didnt notice the little 'd' button there that skips your turn at first, and once i found that out, i shortly got it thereafter. :D

Spike
<font color=red>As I close my eyes, I feel it all slipping away!</font color=red>
Slipknot-Left Behind

Yes, you use d once.... on space (13,9)

This is hard. Let me make sure of something. Take a look at the attachment and tell me if the space marked with <font color=blue>blue</font color=blue> is 13,9.

yeah, that's the one

Post deleted by robot313

copy the title of the page, search for that and "solution" on google.

I see you guys liked that one. There's two others on that page if you guys didn't notice. Binky (http://www.iit.edu/~maxiori/apps/AppBinky.html) and Sliding-door maze (http://www.iit.edu/~maxiori/apps/SlidingDoor.html).

Oh Man, You guys are getting me hooked on these things. My brain is already fried.
Cool stuff.

I solved the Sliding Door Maze! Go me!
images/icons/laugh.gif

OK, how? The others were easy but that ones got me stumped.

I'll see if I can explain it... CW = Clockwise and CCW = counter-clockwise.

Go right to the purple &gt; and green &gt; and back to the left again. Up through green &gt; and blue &gt; and red &lt; and back and up and around CCW past the red door to green &gt; and purple &lt; (Don't hit red arrow yet).

Back up to green &lt; then CW past red door and down past purple door through purple &gt; then up past purple door past blue door CW around outside and down...

Then right and up to blue &lt; and down and back toward blue door to red &gt; and back CW through green &gt; and purple &gt; and up past green door to exit.

I agree with Banjo on this one. I found the minotaur and the blinky games fairly taxing for a while, but ultimately possible, but the sliding door problem has got me totally dumbfounded. Any hints?

Were Levels 3 and 6 of Binky even possible? I got the others but those two seemed impossible to me.

I think Binky level 4 is impossible. how did you do it?

Yes and yes.

Level 3
Left 1, <font color=blue>Down 1</font color=blue>, Up 1, Right 2, <font color=blue>Down 1</font color=blue>, <font color=blue>Left 1</font color=blue>, <font color=green>Down 2</font color=green>, <font color=green>Left 1</font color=green>, <font color=green>Right 2</font color=green>, <font color=blue>Up 2</font color=blue>, Left 1, Up 1, <font color=blue>Right 4</font color=blue>, Up 1, Right 3, Down 3, <font color=blue>Left 1</font color=blue>, Right 1, Up 3, Left 1, <font color=blue>Down 3</font color=blue>, Right 1, <font color=green>Down 1</font color=green>, Up 3, <font color=blue>Left 2</font color=blue>, Up 1, Left 1, <font color=blue>Down 3</font color=blue>, Left 1, <font color=green>Down 1</font color=green>.

<font color=green>GREEN</font color=green> = Involves picking up green item
<font color=blue>BLUE</font color=blue> = Involves pushing a block

Level 4

Left 6, Down 1, Left 2, Down 2, Right 2, <font color=blue>Up 2</font color=blue>, Down 1, Right 4, Down 1, Right 1, Down 1, <font color=blue>Right 2</font color=blue>, Left 2, Up 1, Left 1, Up 1, Left 4, Down 1, Left 1, Down 2, Right 1, <font color=blue>Up 3</font color=blue>, Down 2, <font color=blue>Right 2</font color=blue>, Left 2, Down 2, <font color=blue>Right 2</font color=blue>, <font color=blue>Up 1</font color=blue>, Right 2, <font color=blue>Down 1</font color=blue>, Up 1, Left 2, Down 1, <font color=blue>Right 1</font color=blue>, Down 3, Right 2, Up 1, Right 1, Up 2, <font color=blue>Right 1</font color=blue>, Left 1, Down 2, Left 1, Down 1, Left 2, Up 3, Left 3, Up 4, Right 4, Down 1, Right 1, Down 1, Right 2, <font color=blue>Down 1</font color=blue>, Right 2, <font color=blue>Up 1</font color=blue>, <font color=blue>Left 1</font color=blue>, Up 2, <font color=blue>Left 1</font color=blue>, <font color=green>Up 1</font color=green>.

Okay, I finally figured out Level 6.

Level 6 - This is as far as I got, there always seems to be a block left by the left of the board that I cannot use, and therefore cannot finish the level. This is what I have so far:

Left 1, <font color=blue>Up 6</font color=blue>, Down 1, <font color=blue>Right 1</font color=blue>, <font color=blue>Up 1</font color=blue>, Left 1, Down 5, Right 2, <font color=blue>Up 5</font color=blue>, Down 4, <font color=blue>Left 1</font color=blue>, Right 1, Up 3, Left 2, <font color=blue>Down 3</font color=blue>, Right 1, Down 1, <font color=blue>Left 2</font color=blue>, Down 1, Left 1, <font color=blue>Up 6</font color=blue>, Down 1, Right 4, Up 2, <font color=blue>Left 1</font color=blue>, Right 1, Up 2, Left 2, <font color=blue>Down 3</font color=blue>, Right 1, Down 1, <font color=blue>Left 4</font color=blue>, Down 1, Left 1, <font color=blue>Up 6</font color=blue>, Down 1, Right 6, Up 4, Left 1, <font color=blue>Down 3</font color=blue>, Right 1, Down 1, <font color=blue>Left 7</font color=blue>, Down 1, Left 1, <font color=blue>Up 6</font color=blue>, Down 1, <font color=blue>Left 1</font color=blue>, <font color=blue>Up 1</font color=blue>, Right 1, Down 3, <font color=blue>Left 1</font color=blue>, <font color=blue>Up 1</font color=blue>, Left 1, <font color=blue>Up 2</font color=blue>, Down 1, <font color=blue>Right 2</font color=blue>, Down 4, Left 1, <font color=blue>Up 2</font color=blue>, Right 1, Up 2, Left 2, Down 1, <font color=blue>Right 2</font color=blue>, <font color=blue>Down 1</font color=blue>, Right 1, <font color=blue>Up 2</font color=blue>

Then from there I can easily pick up the 2 green pieces, but to pick up the third, I cannot do it without being killed. Any help Mill?

Without putting the entire solution down, I used the blocks on the right to shield (from left to right) columns 3, 5, 7, 9, 10 and 11.

Now the tricky part is the blocks on the left.

Push the second one from the bottom to the left.

Next, get under the bottom one and push it up one.

Now, get under the one on the far left and push it all the way up. After that, it's pretty trivial.

You can now use all of the blocks on the left.

Right, that one detail you mentioned about pushing the block up is what I was missing, thanks man images/icons/smile.gif. Other than that, the others were all easy, only 6 caused me any degree of trouble. I am still having problems with the sliding door problem, after following your solution I got to a point where you said go CW through a specifc place, but a door was in the way. I tried it again and still no luck. Oh well, not to worry.

hmmm some tricky ones there but I got there in the end

think you've got a good memory ? try this test (http://www.funnywebsite.com/memory.shtml)

Have you figured out the maze yet? I was about to post a more detailed explanation on Friday but the forum went down.

I don't want to go through the work of posting it if you've already solved it, but I will if you want the help.

How did you manage number three. I'd thought that one was impossible.

where you have 3 next to you at the start push the 2 side ones down and push the middle one to the left, eat the green bits and then push the one on the right up and accross to block the black thing

Of course - DOH!

There are more mazes made by this same person on this website (http://www.logicmazes.com/) if anyone is interested.

Also, there's another sliding door maze, made by a different person here (http://www.cs.tut.fi/~zam/home/lists/maze.html).

Can anyone figure out the last multi-target maze (http://www.gjnem.demon.co.uk/newtilt/s7b.htm)? I've managed to get all the targets but not in same game.