Brain Challenge

A mental challenge - can you figure out what figure comes next? The song is called Sandstorm, by Darude, and yes I sped it up!

(also if you notice the audio is a little out of sync with my voice that's because I re-recorded a voice-over with my mouth right smack up to the mic so it would be sure to pick it up--yeah I know, I really need a better mic!)

Category:

People & Blogs

Tags:

• brain
• challenge
• math
• picture
• puzzle
• question
• themathguy

[inferarkuvio]

I prefer the sandstorm music in the background xD

i recorded it on ma mp3 rofl !

how do you speed up songs?

[TheMathGuy]

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

[Russoft]

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 :)

[TheMathGuy]

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]

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.

[catawampouz]

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?

[mataronasd]

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

[BrittanyBear3456]

watch?v=JO7f4J6xHOY

Watch this,

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

[spyromaniac82294]

lol dragon fractal

[sunmoon0807]

does it go

1 sides

2 sides

4 sides

8 sides

16 sides

32 sides

64 sides etc

you just x2 the last number

[wahid1471]

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?

???

[MyAccountman]

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

[elizze6]

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.

[Jorbs3210]

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.

[MABG76]

test