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Gee, I'm a tree!
This has been driving me nuts the past couple days... does anyone know the answer?
http://www.optillusions.com/illusions2/10.gif |
if you look closely at the first triangle you can see that it is a little concave and if you look at the bottom triangle then you can see it is a little convex...that gives room for an extra square at the bottom triangle.
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Checking the pieces in Autocad makes it easier. lol Each piece is scaled in such a way that when you shift the small triangles around and then drop the blocks... space is left.
Look at the 'leg' on the orange piece... note the length? Now look at the leg on the light green piece... See the differences? Sounds like someones monitor needs replacing. :) There are no curves of any sort in that drawing. I gotta watch this stuff or ppl will think I really earned those degrees eh?! Btw, asked the old man and he said it right away but then he has worked with that sort of thng for years... so I checked it with cad to satisfy myself. :winkwink: |
The shapes are exactly alike, however when you place them differently, they take a different a higher/lower percentage of the graph. The red triangle has a slightly different angle thus taking more space when place on the top of the pic.
I just copied the outline of one of the bottom pic over the top pic, you can see the difference. I'm not sure why 'cube wise' it's so apparent. However you can see the difference in the outline. Keeping my fingers crossed, never put an image up.http://www.trixxxia.com/102.gif |
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shit, I told you I would have trouble putting up that damn pic.
Here's the image never mind......its not going to work. If you want to see it. email me....... |
Ok, everyone has explained it to the finest of details. And i still dont get it. Amazing that i failed math every year of high school. LOL
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im a tree too :thumbsup
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o ya and here i solved it:
the top pic they use the red block for the pointy end of the triangle on the bottom they use the green piece :winkwink: that musta been easy to see becauseof how high i am :stoned |
Fletch, I know, it brings you to my anti-hotlinking page :-)
If you want to see it, ICQ me 93086586 |
here is my little pic
http://imaginers.free.fr/triangle.gif |
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i saw what was wrong after a minnute of examination, but just could make up a sentance that would make cense (english's not my first language) |
Oki... after scrambling through my 27 year old head that has done far too many drugs since junior high... I started to remember a little bit of Gee-I'm-A-Tree I took the slope of each small triangle.
green triangle: slope=m=(2/5)=0.400; volume=V=0.5*2*5=5 red triangle: slope=m=(3/8)=0.375; volume=V=0.5*3*8=12 yellow L: volume=V=7 green L: volume=V=8 Total Volume=32 So it is true that the top shape is concave and the bottom shape is convex and that the shapes are not trangles at all (I just assumed) Solving for the volume of the assumed "triangle" would give: volume=V=0.5*5*13=32.5 That only gives 0.5 space for the extra square, so where does the other 0.5 come from? |
Geometry makes me dizzy.
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Yeah, it gave me a headache... :D
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the whole shape isnt actually a triangle.. first one is a concav and the second one is a convex quadrangle.. the convex one has a bigger area, so that it has a room for another square..
if you put a ruler against your screen, you will see the hypotenus of the big triangle is not a straight line.. so it has an extra corner there... if you dont understand it, dont worry about it... its kinda late for you to learn geometry then.. |
My head hurts and im about to cry
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