Final Oreo Post

Part 1 and Part 2.

There have been a couple of questions regarding the validity of my measuring process. The one that irked me the most was the fact that I had never measured the weight of the wafers of the Double Stuf. Was it possible that the wafers for the Oreo and Double Stuf were different? They have a different stamp on the top. Were they different weights too?

Previously I had found it very difficult to remove a wafer without any creme remnents from a Double Stuf. It always left some residue on the wafer. However, a local news channel came over (for my last interview, I’m done) and brought a box of Oreos and a box of Double Stuf. After the interview, the cameraman asked if I could unbox the Oreos and take them apart for the B-roll footage to be played while I was talking. However this time the wafers came off the Double Stuf with no problem at all.

I could find the answer to the biggest issue with my methodology in measuring the Oreos! All my questions would be answered! This was very exciting! (Well not really, but I was interested.)

photo photo (1)

 

So to recalculate. 23 Double Stuf wafers weigh 100g, so each wafer weighs about 4.35 g. Meanwhile the average Original Oreo wafer weighs about 4.04 g. The average Double Stuf Oreo weighs 14.67g, and so the Double Stuf creme weighs 14.67 – 2(4.35) = 5.97 g.

Conclusion

DS creme / Oreo creme = 5.97 / 3.48 = 1.7 stuf.

Conclusive? Heck no. Do the measurement in your home or classroom. Prove me wrong. Measure the density of the stufs’. Are they different? How much does the creme cost compared to the wafer? Which has more calories? Do some fancy statistical measurements. Is averaging the best tool to be used in the calculations?

Professor Don out.

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Oreo Verification

So things have gone a bit crazy lately. While on summer vacation, this happened:

traffic
All for a blog post that I wrote in February.
(My previous high for views in one day was 299.)

In the original post where my class suggests that the Double Stuf Oreo is only 1.86x stuffed, the data set is small. There were several groups all working on their own measurements so they didn’t have many cookies to work with.

After all the attention (I feel really weird about it), the math part of my brain had to verify the findings. And after all, I’d hate to be wrong on the internet.

More Data

36 Regular Oreos (1 package)
SONY DSC

30 Double Stuf Oreos (1 package)
SONY DSC

Split Oreos (bad splits are on the right, not measured)
SONY DSC

23 Oreo wafers
SONY DSC

Thrill Packed Conclusion

Do the calculations yourself! Or I suppose you can it read here.

Lastly

For me, this was never about proving Nabisco right or wrong. I don’t care about the “stuf”ing of the Oreos as long as they are delicious (which they are, Double Stuf is my favorite). This was about having the students do some great mathematical exploration on their own. Before doing this in class, I had no idea what the result would be. As a couple of the groups proved, you can show that they are double “stuf”ed by measuring the heights of the cookies.

Media Coverage of this “Double Stuf Scandal”

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Break a Weighing Stone

From the weekly car talk puzzler:

RAY: A farmer had a 40-pound stone which he could use to weigh 40 pounds of feed; he would sell feed in 40 pounds, or bales of hay, or whatever. He had a balance scale; he put the stone on one side and pile the other side with feed or hay, and when it balanced, that’s it.

RAY: A neighbor borrows the stone, but he had to apologize when he returned it, broken into four pieces. The farmer who owned the stone later told the neighbor that he actually had done him a favor. The pieces of the broken stone could now be used to weigh any item, assuming those items were in one-pound increments, from one pound to 40.

RAY: Yeah, that would be good. What were the weights of the four individual stones? So if you want to weigh one pound, six pounds, 11 pounds, 22 pounds, 39 pounds — how would you use the stones, the thing you are weighing, and the balance beam?
TOM: Oh…
RAY: Remember that. And here’s the hint: how would you weigh two pounds? That’s the question. I could give a further hint —
TOM: No, don’t. That is great!
RAY: Yeah, till next week. Next week it’ll be in the dog house.
Think you know? Drop Ray a note!

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Chaos Game

The chaos game, previously seen on Frank Noschese’s 180 blog and Jonathan Clayton’s blog Infinite Sums.

I had to make this myself (deja vu?). Here’s what I made (processing 2.0):

2013-07-03_13h12_06

Check it out live. All these live links will probably work great on your smartphone too. Source code.

Variations

Homework

Can you create any modifications from this source code? Getting started is relatively easy: download processing 2.0.1, paste the source code in and press run.

Note: Thanks to the Math open reference for an applet to calculate the vertex coordinates for the hexagon and pentagon and saving me a little time.

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Fractal Brownian Tree

brownianfractal

I started off and used VPython to create the fractal, but it was slow and buggy. Here’s a movie of my first attempt. When you click you create a new “seed” for the fractal to start. 

So I rewrote it in Processing.org (2.0 just came out!), and the results are far more satisfying. Left click to start a seed, and right click to clear the scene. Check it out!

screenshot

Processing source code.

VPython source code.

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Painting Puzzler – Car Talk

I never could remember how to solve these type of questions.

RAY: Tommy, Dougie and I are sitting around the office one day at Car Talk Plaza. We were noticing how dingy the place looked. We’d been there 15 years, and the place had never been painted. So, we decided to paint Car Talk Plaza.

We didn’t know which team of us was going to do it, so we sat down and decided to do a little math. We determined that Tommy and I together could paint the entire Car Talk plaza in 10 days. After all, we had a lot of painting experience as kids, having painted Dad’s car a couple of times with brushes.

Dougie and I could do it in 15 days. And, if Doug and Tom worked together, they could do it in 30 days.

The question is how long would it take each of us, painting by ourselves, to paint the whole of Car Talk Plaza?

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Microsoft Lies? Diagonal Screen Size vs Area

Microsoft has put up an ad comparing various Windows tablets to the iPad.

2013-05-24_08h46_36 2013-05-24_08h46_50

 

So bigger is better right? On their original ad they claimed that the ASUS VivoTab Smart tablet had more area than the iPad.

But Elliot Temple claims the following:

How can the screen with a larger diagonal measurement be smaller? Because it’s a different shape. Long and thin gets you a bigger diagonal but a smaller screen, for the same diagonal inches.

Who’s right? Microsoft or Elliot? Great math involved here.

[edit – 5/28/13: This post links in very nicely with the Mathalicious lesson Viewmongous. Thanks Fawn Nguyen!]

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Follow-up to 50 billion app downloads

Previous post.

So 50 billion apps downloaded on the iTunes store has come and gone, and I have nothing to show for it (except for a bunch of fun learning and some excitement for the next time).

Things that happened:

Reasons Why I’m Excited For The Next Countdown In The App or Music Store:

  • I’ll make a script to check the javascript file and get the hourly rates for several days in a row.
  • Find a function to model the app download rate.
  • Algebra/Geometry/Pre-Calculus: Find the rate using the slope secant lines for two data points. Use the data to make a guess for when the store will hit #next# billion.
  • Calculus: use Riemann sums and definite integrals to approximate the number of apps downloaded in a day, a week, a month, a year. Use the actual app download data for one day to see how find the accuracy of the area underneath the curve.
  • Can you help me out? Am I missing anything? (answer: yup)
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