Puzzle Description:

Sierpinski triangle! I always wondered whether the sierpinski triangle could be made with squares, and I leared it kind of can :)

#1: Joshua Nolan (the jew) on Mar 3, 2011

Use the pattern from the other iterations to complete this one. It's not solvable without using the others. that's why the others are there.

Nice job. Good series but promise me we don't have to do too many more iterations.

comment 2 made me laugh

what is a Sierpinski triangle?

Sarah, http://www.zeuscat.com/andrew/chaos/sierpinski.html

Yay fractals!

I tecnically could only make two more iterations. I might make one more in a 47x40 grid, but a 95x80 grid one wuold just be insane. My computer's even too slow to load one that big, so unless I upgrade, no iteration #6 would be made. Don't worry, I'll warn you.

Only the bottom and a bit of the 11 can be placed with logic. Even assuming symmetry only gets you about 1/3 done.

However, I'm not surprised. It seems to me that a fractal's combination of pseudo-random solids and spaces would be the ideal way to fill an area with something that looks like it should be solvable, but is not.

This would be like the top 20 rows of my Sierpinski Triangle. Since I did it on a Hercules monitor, that was 720x348, the overall triangle was a lot more detailed, but the top 20 rows would've looked just like this (except green).

The method for making one of these is surprisingly simple. You can make one with pen and paper and a ruler.

Lay out three dots for the corners. *Any* triangle will do.

Pick a starting dot. Then:
1. Choose a random corner (use a die for true randomness).
2. Draw a new dot halfway between your current dot and the chosen corner.
3. Goto 1

That's it! Have fun.
(Note - If you actually try this by hand, it takes a *lot* of dots to really see it, so use a small triangle!)

I'm going to at least look at the next iteration. This one was kind of fun.

Found to have multiple solutions by jan.

Goto next topic

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