Added: 5 years ago
From: TheMathGuy
Views: 10,593
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  • errmmm. hmm. stratchy scratchy. Ahha! I've got it! You were born in america and generally told that being boring, wiless and slow was secretly ' being clever ' Did I get it right?

  • this is too easy... i just knew a bit better english to describe :D:D:D

  • watch?v=JO7f4J6xHOY

    Watch this,

    Less than one percent of the Earth's human population can do this!

  • lol dragon fractal

  • does it go

    1 sides

    2 sides

    4 sides

    8 sides

    16 sides

    32 sides

    64 sides etc

    you just x2 the last number

  • It's a Dragon Fractal! I draw this with 17 Steps. The Painting is ca. 193x124cm big. Just a pen and a big peace of paper! Now it has 2^17 lines. It looks really beautifull! Maby I will make a Video about it. If not, I will put up some pics of it. Do you think I can have a Guinnes-World-Record?

    ???

  • thirty two lines, a triangle on top of each line.

  • The answer is in the video... you just follow the pattern of drawing the 90 degree angle triangle-like things on each line, starting on the outside and alternating for each line.

  • For each step, a 90 degree angle is created using the previous straight line as the hypotenuse. For every line, the 90 degree angle flips to the opposite side. If a line is in the previous figure, it does not show up in the next.

  • test

  • Each addition to the lines must end with a right triangle, without picking the pen up. And removing the lines before.

  • I'm pretty sure i know what the next one would look like from the pattern.

  • WTF lol lazyyy....

  • form a triangle about each line (altering the side of the lines) and then erase the original line. Well, i think i didn't explain it very clearly, but i got it :D

  • more triangles or a straight line

  • Looks to me like you're drawing a right angle to connect any adjacent straight line. triangle to the edge, and continued triangle to the next edge, etc.

  • dragon fractal

  • Dragon fractal, every time a new pattern is drawn all the regular lines (in the new pattern the hypotenuse) is deleted and replaced with two k, but not on both sides, the k's swap side for every h

  • This is the dragon fractal with the paper folding analogy.

  • all you have to do is fold a piece of paper a bunch of times

  • took me a year but dragon fractical?

  • the dragon fractal

  • HUH??????

  • 64 lines

  • That is a dragon fractal. The iteration is a 90 degree rotation of each succesive image.

  • each line in step 'k' breaks into two in step 'k+1'

  • Agreed, but the new line pairs alternate from being on the right or left side of the original line.

  • 64 lines

  • triangles on each angle, erase seven lines?? i think... i'm not very good at these...

  • Can You make A Video Of Sandstorm Sped Up All The Way Through Coz Audacity Isnt Downloading >:(

  • I prefer the sandstorm music in the background xD

    i recorded it on ma mp3 rofl !

    how do you speed up songs?

  • I used a program called Audacity, an open source sound editor.

  • Not into this nerd stuff... But this puzzle was kind of interesting nevertheless.

  • and then erase the baselines on each triangle =P lol for- got

  • it's quite simple if you think about and watch as he draws the pattern. on each line that is and odd numbered line, draw a triangle that is pointing upward( according to the lines, if it's horizontal draw a line pointing north, if it's vertical west) and on each second line, draw a line pointing downward, according what kind of line it is

  • Please excuse me while I clean my brain off the walls.

  • GOD I HATE YOUTUBE COMMENTS!

    Mine is here

    tinyurl[dot]com/ybraep

  • Oh! Now I see why that could have been a hard puzzle, but yeah, the fact that we saw you drawing over the previous symbol made it much easier to figure out. I was thinking "oh brother, this is like Power series. All it requires is a bit of book keeping and no brain power". :P Yes, sound was better, and the video required the use of my brain. Good work :)

  • LOL! Power series. I can't say I would have thought about it that way, but yes indeed the sequence is like a power series in that it converges to a 'curve' known as the "Dragon Fractal". It's a very strange curve, filling a positive amount area in the plane and having infinite length despite being contained in a finite region (the rectangle of the white board).

  • Sound was so much better this time.

  • Ah yes, indeed! I didn't think about the fact that you could see me drawing each one over the previous one and that made the puzzle much, much easier! I'm planning to eventually do a Nate the Math Guy episode about fractals, and I'm planning on using this puzzle as an intro.

  • I love fractals! Yummo.

  • YES! Puzzles are good. Shame about the way you chose to present the challenge though because we could quite easily watch you draw out the next pattern each time and just follow the same procedure to end up with the new pattern... Which probably wasn't how you got to do it in the book and didn't take me (a stupid person) very long to aqquire the new pattern. Thanks for baring us in mind though! :D

  • I don't think this "certain individual" is going to respond either. On a separate note, I thought you did a really amazing job of the voice-over type audio thing. Plus, Sandstorm is practically a classic, who could possibly dislike it? A short vid well done!... Mostly. :D

  • Thanks for making me think a second.

  • Draw a horizontal straight line. That is the hypotenose. Draw the other 2 lines above it to complete the triangle. Eras the hypotenose. Then the other lines become a hypotenose for a new triangle. The first new triangle is above the hypotenose and the second is below the hypotenose. Repeat!

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