# giant fractal pecan pie

8 Steps
for thanksgiving 2k4 we opted to construct a very large pie.

based on a prototype the previous year we were aware of a fundamental limitation of large pies, namely the crust to filling ratio. for traditional circular pies of radius R, the amount of filling scales as R2 while the crust only scales linearly so as the pie grows larger, the flaky crust is completely dominated by the creamy filling.

our solution was to construct a pie pan in the shape of a koch snowflake (whose perimter obeys completely different scaling laws), fill it with delicious pecan pie and bake in a custom backyard oven.

## Step 1: Layout design

the layout was determined by two constraints:

1. the finished product had to fit in the transport vehicle. this gave an maximum outside diameter of around 50 inches, conveniently close to the 24x48 inch sheet metal available at the local hardware store. this set the initial side length L of the largest triangle.

2. we only had access to crust of a finite constant thickness so the smallest triangle had to contain some reasonable amount of filling. (L/3)niter > minimum acceptable edge length suggested that we go no deeper
than 4 iterations.

A template covering (1/12) of the entire perimiter made reasonably quick work of laying out the pie pan edge.

## Step 2: Cut sheet metal to shape

shaping was conducted entirely with handtools, a shear and a nibbler. at least 10 hours and many blisters later the 768 sided outline began to look like a reasonable approximation to an approximation of a fractal.

the thing they don't tell you about fractals is just how sharp and dangerous they are. i mean, you think you have a pretty good grasp of the mathematical analysis but until a piece of metal with a very high perimiter to surface area ratio tears into your flesh, you're really missing intuitive appreciation for objects that lack continuous derivatives almost everywhere.

## Step 3: Attach rim

the rim was fabricated out of much lighter weight material than the base. flexible enough to fold cleanly and match our template. unfortunately, it was too thin to weld in any clean way and was galvanized to boot. an afternoon at the crucible (http://www.thecrucible.org/) with a tig torch left me with a bad case of "zinc metal madness" and a rim which was loosley attached in the ugliest of ways.

tip: using a pair of needle nose pliers to press down hard on the tabs as they were being welded helped to conduct heat into the thicker base giving more even heating of both parts and keeping the thiner part from burning away.

## Step 4: Build oven

the oven was simply a pile of cinder blocks and a propane burner (seasonal item adapted from a turkey fryer). a sheet of durock made for a lid and base. there was no reason it had to be physically possible for this construction to reach pie appropriate tempuratures but the heat loss ended up being low enough and the propane valve controllable enough that we could easily maintain the 350-400 F required for baking. rather good luck as we didn't have a backup plan.

## Step 5: Make crust

aluminum foil lined the pan and hopefully protected us from the not-so-foodsafe construction. crust was a traditional recipe. cut cold butter into flour and add a little ice water as necessary to make dough. minimal kneading needed. the tiny pockets of butter melt and boil during the baking process giving the coveted flakyness of a good pie crust

## Step 6: Mix filling

a careful calculation gave us the appropriate amount of filling, approximately 21 standard pies worth. the filling recipie was based on a previous attempt which averaged the ingredients of 5 different pecan pie recipies from the web. this assumption of local linearity in the space of pies seemed to work out well.

## Step 7: Cook

cooking took about an hour and a half. the pie was of standard thickness so the appropriate cooking time was only slightly longer than the standard hour (in part due to the longer time required to get the oven up to temperature). the only real difficulty here was leveling as the filling flows towards the low end of the pie.
the uphill portion which (was also directly over the burner) ended up somewhat overcooked and dry but heat distribution was suprisingly uniform and the results completely edible.

## Step 8: Enjoy

crust enough for the most serious connoisseur. the pie pan was only used once but lingers on as a wall hanging.
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canida says: Nov 24, 2008. 11:35 AM
This Instructable was featured on NPR's Here & Now on November 24, 2008!
varel-bundock says: Nov 30, 2011. 8:40 PM
Best paragraph I've read in a while. Found my way through: http://felixsalmon.tumblr.com/post/13577123646/the-thing-they-dont-tell-you-about-fractals-is
jusbeachy says: Oct 22, 2011. 1:37 PM
That's just totally AWSOME !!!!
Thanks so much for sharing it all, the PIE PAN, the OVEN ,
& most of all THE PIE !!! Sincerely, Jus Beachy
ferrocene says: Jul 6, 2006. 4:09 PM
Beautiful pie! Granted, you've achieved a pie with a more crustacous scaling law, but how do you serve it in human-sized pieces, assuring each diner a similar quantity of crust? The problem would be easy to fix in a purely mathematical sense, in the same way that a sphere can be dissected and reassembled into two spheres. The trick doesn't work for real representations of spheres, and sadly, probably wouldn't work for real pies, either. :( Maybe a Sierpinski gasket-shaped pie pan?
mdougherty1 in reply to ferroceneApr 14, 2011. 7:49 PM

Maybe a Menger sponge cake (or Menger spongecake, w/e)

Of course it would soak up a lot of rum (infinite surface area) but would not be very filling (with zero volume)
EnigmaMax says: Nov 24, 2010. 11:13 AM
dear god... infinite pie...
darthpotato1 says: Jul 2, 2010. 3:07 PM
i understand what you are trying to do with the whole "filling dominates crust" thing, but wouldnt the midlle be dominated? i guess you could solve this by making the center a bit thicker than the edges. Please reply, as i would like to know what you think about it. Thanks, -Darthpotato
rxtrekker says: Dec 20, 2009. 11:17 PM
i bow down to you.  totally incredible!!!!!!
Daddydano says: Dec 20, 2009. 12:13 PM
You guys are incredible. Awesome mind power combines with the love of good food. I am going to connect this up to my face book. You guys deserve others to see the true powers of Geeks in action (I meant this in a totally nice way). Have a great Christmas!
MT-LB says: Nov 26, 2009. 12:08 PM
a little hard to cut, maybe, but this is genius
eucharist says: Nov 22, 2009. 5:56 AM

Lol - how to instructify a pecan pie!

texabyte says: Nov 27, 2008. 10:43 AM
if i were you for the oven I would take some fiberglass insulation and put that in the cinderblocks to help hold in heat
ravebot says: Nov 24, 2008. 7:05 PM
yummy looks like a snowflake
puffyfluff says: Aug 30, 2008. 1:47 PM
Awesome! This will be a great way to share my love of fractals.

90% of it will go to waste, though...
Poppa Chubby says: May 11, 2008. 11:20 AM
turkeytek, I have just discovered your genius for food. You get an A+ for this one. I'm wondering if another piece of durock under your oven rack would help diffuse the heat enough to avoid hot spots. Perhaps a couple of inches below the rack to ensure good airflow.
turkey tek (author) in reply to Poppa ChubbyMay 11, 2008. 3:30 PM
that might work, but i'm not sure durock could stand up to the heat. it may even have some plastic mesh inside. i guess a giant baking stone would do the trick.
Poppa Chubby in reply to turkey tekMay 11, 2008. 5:01 PM
Or even some strategically placed cinder blocks. D'ya think a large piece of heavy steel or cast iron might do it? Something similar to say, a manhole cover? I might have to make a giant oven. Just because it can be done.
PiMan314 says: Nov 23, 2007. 9:11 AM
PiMan approves!
Sgt.Waffles says: Jun 3, 2007. 6:09 PM
HAHAHAHAHA! You look like eric forman off of that 70's show:

http://www.that70sshow.com/images/gallery/s4/s4_eric.jpg
mtgoldma in reply to Sgt.WafflesJul 7, 2007. 6:21 PM
Wait, which one? I always think elf looks like Harrison Ford, but I'm partial. Maybe you were talking about tek. Or the pie? I don't think the pie looks like Eric Forman.

http://www.starwars.com/databank/character/hansolo/img/movie_bg.jpg
karen608 says: May 23, 2007. 9:09 PM
dang! super pie, wall art.... so when are you opening the art studio cafe? cool!
SugarTeen52 says: May 26, 2006. 2:47 PM
Ewilhelm, you like the edge? (sorry for communicating through comments to ewilhelm, turkey tek!) Turkey Tek, looks delicious! How long did it take to do this again?
turkey tek (author) in reply to SugarTeen52May 29, 2006. 8:43 PM
a month worth of friday nights. maybe 15 hours shaping the sheet metal and folding up the edge. another 5 hours futzing around with the welder and 9 hours to build the oven, mix ingredients and bake it.
Vendigroth in reply to turkey tekMar 21, 2007. 9:51 AM
was it worth it, for the pie?
James (pseudo-geek) in reply to VendigrothMay 7, 2007. 3:25 PM
pecan pie is worth anything.
SugarTeen52 in reply to turkey tekOct 25, 2006. 7:02 AM
That's... pretty long!
StepsoftheSun says: Apr 23, 2007. 9:52 PM
One of my all-time favorites...
Vendigroth says: Mar 21, 2007. 9:50 AM
how about a mobius-shaped pie next? i really like this, it's somewhere beyond cool
Berkana says: Jan 16, 2007. 11:52 PM
Wow, this is nerlicious! I salute your nerditude.

4 _
all_thumbs says: Dec 2, 2006. 1:01 PM
Finally a practical use of that fractal ho-ha.
elfpower says: Nov 30, 2006. 9:38 PM
It's not true that we didn't have a backup plan. Our backup plan was to make Thanksgiving Jello.
turkey tek (author) in reply to elfpowerDec 1, 2006. 1:19 PM
where by jello you mean a soup of pecans, corn syrup, sugar and uncooked eggs.
ewilhelm says: Apr 25, 2006. 10:26 AM
Incredible! I assume you still have the pie pan somewhere in storage? Maybe once the glow of the Maker Faire has worn off, Instructables could sponsor a Bay Area Makers giant pie eating party? We could host it at Squid Labs, in Emeryville. I'll bet this design would also be useful at more conventional sizes. I know I always fight for the edge pieces of lasagna, brownies, and apple crisp.
zachninme in reply to ewilhelmOct 30, 2006. 3:03 PM
It would seem, that for people who like corners, you should make pies of the same shape, but 3-6 inches in diameter. This way, each person gets their own pie, and crust!
turkey tek (author) in reply to ewilhelmApr 26, 2006. 12:32 AM
thanks. now included is a picture of the pan's final resting place. i'm sure it is still servicable if the opportunity should arise.
xrobevansx says: Sep 24, 2006. 4:52 PM
is it safe to have that LP hose *in* the oven?
turkey tek (author) in reply to xrobevansxOct 25, 2006. 2:57 PM
the temperature in the oven is only 350-400 degrees F. i think the thick rubber hose can generally withstand these sort of temperatures. this hose had an id printed on it that allowed us to look up the temperature rating.
mensmaximus says: Aug 9, 2006. 8:26 AM
Ace. I'm thinking of a 50 ft. vertical container-pole vat for cooking in now. Food distribution in a \$200/sq. ft world.
Doom_Goat says: Aug 5, 2006. 12:23 AM
Incredible, now try doing the mandelbrot set, that would be even more ove a challenge
slyfox117 says: Jul 1, 2006. 11:21 PM
Dude. sweet project. big food+math+building stuff=very fun
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