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?
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?
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.
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
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, 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
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
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).
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.
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
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!
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?
catawampouz 7 months ago
this is too easy... i just knew a bit better english to describe :D:D:D
mataronasd 9 months ago
watch?v=JO7f4J6xHOY
Watch this,
Less than one percent of the Earth's human population can do this!
BrittanyBear3456 9 months ago
lol dragon fractal
spyromaniac82294 10 months ago
does it go
1 sides
2 sides
4 sides
8 sides
16 sides
32 sides
64 sides etc
you just x2 the last number
sunmoon0807 1 year ago
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?
???
wahid1471 1 year ago
thirty two lines, a triangle on top of each line.
MyAccountman 1 year ago
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.
elizze6 1 year ago
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.
Jorbs3210 1 year ago
test
MABG76 1 year ago
Each addition to the lines must end with a right triangle, without picking the pen up. And removing the lines before.
OleprechaunO 1 year ago
I'm pretty sure i know what the next one would look like from the pattern.
Zacxter 2 years ago
WTF lol lazyyy....
HELo3SHiTE 2 years ago
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
matus201 2 years ago
more triangles or a straight line
twittybird129 2 years ago
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.
milkflem 2 years ago
dragon fractal
jzlACoSTE 2 years ago
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
Yrda1 2 years ago
This is the dragon fractal with the paper folding analogy.
TheTurtleman9 3 years ago
all you have to do is fold a piece of paper a bunch of times
b0bb0bs0n 3 years ago
took me a year but dragon fractical?
streetwheels 3 years ago
the dragon fractal
migrated 3 years ago
HUH??????
cloud9srainbow 4 years ago
This comment has received too many negative votes show
Hey, I think this an easy challange. I was hoping something more difficult. Could you please tell me, where can I find better challenges?
basuam 4 years ago
64 lines
GuitarGeek5 4 years ago
That is a dragon fractal. The iteration is a 90 degree rotation of each succesive image.
sphericalbastard 4 years ago
each line in step 'k' breaks into two in step 'k+1'
Sooraj11 4 years ago
Agreed, but the new line pairs alternate from being on the right or left side of the original line.
Partspare 4 years ago
64 lines
baderkaderka13 4 years ago
triangles on each angle, erase seven lines?? i think... i'm not very good at these...
xdramaticx 4 years ago
Can You make A Video Of Sandstorm Sped Up All The Way Through Coz Audacity Isnt Downloading >:(
inferarkuvio 5 years ago
I prefer the sandstorm music in the background xD
i recorded it on ma mp3 rofl !
how do you speed up songs?
inferarkuvio 5 years ago
I used a program called Audacity, an open source sound editor.
TheMathGuy 5 years ago
Not into this nerd stuff... But this puzzle was kind of interesting nevertheless.
neam88 5 years ago
and then erase the baselines on each triangle =P lol for- got
iwillendyou64 5 years ago
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
iwillendyou64 5 years ago
Please excuse me while I clean my brain off the walls.
MrFats0 5 years ago
GOD I HATE YOUTUBE COMMENTS!
Mine is here
tinyurl[dot]com/ybraep
wig3 5 years ago
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 :)
Russoft 5 years ago
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).
TheMathGuy 5 years ago
Sound was so much better this time.
Druesling 5 years ago
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.
TheMathGuy 5 years ago
I love fractals! Yummo.
GraBear 5 years ago
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
Shhadow781 5 years ago
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
Shhadow781 5 years ago
Thanks for making me think a second.
Magnek 5 years ago
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!
GraBear 5 years ago