Showing posts with label Coxeter's Pippin. Show all posts
Showing posts with label Coxeter's Pippin. Show all posts

Thursday, April 07, 2011

How to Wreck Your Applesauce

Coxeter's Pippin Experiment (1 of 3).jpg
Two experimental apples — A and B.

Do you remember Coxeter's Pippin? If not, please click that link and go read it. A geometry professor claimed that coring an apple his way was the most efficient way to core apples. His claim has been nagging me for days now, so yesterday, while making applesauce, I decided to test his theory.

I had 8 apples for the applesauce and selected two that were most identical in size. I weighed each on my digital food scale after I peeled them. Then I cut both of them equatorially (see the photo in the link of the original post above). For Apple A, I used Coxeter's method for coring. For Apple B, I used my husband's coring method (which, if you remember, he had taught me before I learned Coxeter's method). Suddenly, I wanted to see how much waste was produced with my own method, so I selected another apple, Apple C. I didn't care what size Apple C was. By this time. I just wanted to get this damn experiment over with and have supper. My method for coring apples is traditional: I cut the apple in half longitudinally and then, using a sharp knife, I cut the core out along with my own skin, nail and sometimes bone, creating a lot of blood. I weighed the stuff that I cut out of each apple and created a chart (below). Then I calculated the percent loss of each apple. If you would check my math I would appreciate it. I was grouchy when I did the numbers this morning, so I probably made a mistake.

Coxeter's Pippin Experiment (2 of 3).jpg
The debris from the Coxeter Pippin Method.

Apple
Method
Apple A
Coxeter Pippin
Apple B
John's Method
Apple C
traditional

Peeled Weight

3.625 oz. 3.5 oz. 3.625 oz.

Cored Weight

3.25 oz. 2.50 oz. 2.125 oz.

Percent Loss

10.3% 28.5% 41.3%

Discussion

The Coxeter Pippin Method resulted in the least waste, therefore it was most efficient. But I didn't like it. It was tedious and time consuming. I had to dig those little skin-like things out of the apple because they did not "fall out" as Coxeter said they would. My back was killing me as I huddled over the pieces of apple. My method was most familiar so I was able to think of other things besides apples and even hum my cooking song. John’s method was comfortable and somewhat enjoyable because I knew I could become expert at it if I tried it enough. It went fairly quickly, too, but not as quickly as my method.

Conclusion

  • I am going to continue using my method for coring apples.
  • Don’t pay attention to cooking advice from geometry professors.
  • Don’t use maple sugar in your applesauce. It tasted awful.

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Saturday, April 02, 2011

Puzzling Week Returns: Coxeter's Pippin

Apples (1 of 4).jpg
Peeled & equatorially cut apples ready to be cored for making apple slab.
January 24, 2011

John and I peel dozens of apples for pie, sauce, and slab. Depending on the size and quality of the apples, we will either peel and core by hand (with or without a corer) or by crank. John recently taught me that cutting apples equatorially and then coring them takes less time then the traditional cutting and coring. I have often wondered if there was an even easier or better way than all of the methods we have tried. I found a way tonight! But this is a puzzle. Your clue is the photo I took (above) of equatorially cut apples from January when I made two huge slabs for the weekend. By the way, I no longer use the King Arthur slab recipe. I double a pie crust recipe for a double 9” pie, use a 13x9 Pyrex pan, and just make an apple pie (butter, flour, brown sugar, cinnamon, nutmeg, ginger, cloves are all measured by feel and sight) in the rectangular Pyrex.

New Scientist Magazine December 21, 1961

There are many ways of eating an apple. At one extreme is the child who met the request, "Can I have the core of your apple?" with a flat, "There ain't going to be no core!". Various procedures with various implements are designed to remove the core, but probably not one apple in a million is cored in the most efficient fashion possible. How in fact should an apple be cored, to remove all the core with the least possible waste?

Spoiler Alert! The answer is the first comment to this post.

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