Fractal Gingerbread House

Fractal Gingerbread House
For all the math geeks who want to celebrate the holidays in their own way, try out the Fractal Gingerbread House. There may not be infinite surface area, but why not make your inedible masterpiece an ode to a beautiful pattern instead of some dumpy looking house?

So let's get our geek on and make a gingerbread Menger sponge.
 
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Step 1Menger sponge

Menger sponge
A Menger sponge is a 3D fractal that starts with a cube. In each iteration the surface of each cube is divided into 9 sections and the middle section is pushed out.

In the next iteration, you look at the smaller subcubes of the original cube and repeat the same process.

in the picture below you can see the same process. With this gingerbread fractal we'll be making a level 2 Menger sponge and using decoration to make it look like a level 3.

Don't worry if that doesn't make sense, we'll move out of math geek territory now.
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32 comments
May 22, 2011. 2:16 PMthoward3 says:
i did it you should try it.
Apr 16, 2011. 5:08 PMdyly says:
epic win!
Dec 21, 2009. 5:39 AMsarahfish says:
 so many delicious pieces to eat!
Dec 25, 2008. 10:48 AMaskjerry says:
Neat... now we need to invent edible LEDs....
Jan 6, 2009. 12:35 AMmettaurlover says:
and edible metal... and edible batteries... and edible components... and edible duct tape... ok, duct tape actually IS edible; it just isn't a good idea to eat it...
Nov 16, 2009. 1:40 PMbassclarinet23 says:
Technically, a lot of things are edible but it's not a good idea to do so. :)
Nov 16, 2009. 3:17 PMmettaurlover says:
exactly.
Nov 16, 2009. 3:47 PMbassclarinet23 says:
Because is one eats something, one could consider it edible. :)
Nov 16, 2009. 4:05 PMmettaurlover says:
yep :D
i learned the hard way that 9-volts are NOT fun to eat.
Nov 16, 2009. 5:54 PMbassclarinet23 says:
You actually swallowed one? That must have created an interesting sensation.
Nov 16, 2009. 6:14 PMmettaurlover says:
i *almost* swallowed one. thankfully i realized that it would hurt a lot if i swallowed it. i spat it up.
Nov 16, 2009. 7:28 PMbassclarinet23 says:
Ha ha. Good thinking.
Nov 16, 2009. 3:47 PMbassclarinet23 says:
I meant if. Sorry.
Dec 25, 2008. 9:48 AMashleybmeyer says:
protip: put the icing in a ziplock bag and cut a tiny hole in the corner (just cut off enough of the corner to make a hole), and it will be super easy to squeeze the icing into dots and lines. (also, it's totally safe to eat the eggwhite-and-powdered-sugar icing you described.)
Dec 25, 2008. 9:29 AMoskay says:
This is simply fantastic! Bonus points for *not* using the laser to cut out the gingerbread directly!
Dec 25, 2008. 10:00 AMPlasmana says:
Wow! That looks really cool!
Dec 24, 2008. 6:59 AMJohnfiat says:
Where did you get the template or did you make it and if you did what did you use for the material? Great project. Keep the math is Christmas!
Dec 23, 2008. 4:20 PMrachel says:
Hee hee! Food & math :)
Dec 24, 2008. 7:05 AMastrozombies138 says:
Haha, i just watched a movie called "Silk" which is based around capturing a ghost's energy in a menger sponge.
Dec 24, 2008. 3:35 AM=SMART= says:
Awesome ! Its so geeky :D
Dec 24, 2008. 1:11 AMfalcotheimpaler says:
very meticulous. very nice.
Dec 23, 2008. 8:15 PMLinuxH4x0r says:
Very nice!
Dec 23, 2008. 7:31 PMDorkfish92 says:
...That, is an awesome gingerbread house. Nice work!
Dec 23, 2008. 6:54 PMDoveman says:
I got an idea! A steampunk gingerbread house!
Dec 23, 2008. 4:29 PMPainkilla05 says:
My mind exploded with sugarey goodness.
Dec 23, 2008. 4:27 PMSunbanks says:
That's really cool :D
Dec 23, 2008. 3:30 PMgmjhowe says:
wow, you have taken it to a whole new infinite level. Great work, i love how you actually made the middle tunnel section.
Dec 23, 2008. 3:19 PMwhatsisface says:
Gingerbread mobius strip plz?

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Author:fungus amungus(my site)
I like to make things both useful and odd. The odd projects are usually more fun. I'm also the Content Manager here at Instructables. Follow @edabot for more