bonanova Posted March 23, 2008 Report Share Posted March 23, 2008 Using a knife to make four straight-line cuts, how many pieces can a single pancake be divided into? Generalize for N cuts. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 25, 2008 Report Share Posted March 25, 2008 doorna perzik en roomijs -lekker! heel lekker! Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 25, 2008 Author Report Share Posted March 25, 2008 ... aardbeien en chocolade! Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 25, 2008 Author Report Share Posted March 25, 2008 I think people are missing the stacking idea i posted. You get 16 that way. Stacking and/or folding get you more pieces. They're not forbidden in the OP. Imran, [post 25] I'm not sure how you get your results for 4 and 5 cuts. Can you make a sketch? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 25, 2008 Report Share Posted March 25, 2008 ... aardbeien en chocolade! But more than once per year, maar peren met chocolade is de lekkerste! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 25, 2008 Report Share Posted March 25, 2008 But more than once per year, maar peren met chocolade is de lekkerste! mmmm....lekker lekker! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 25, 2008 Report Share Posted March 25, 2008 I think people are missing the stacking idea i posted. You get 16 that way. Less work my way Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 lekker^10.....(what is lekker??) Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 26, 2008 Author Report Share Posted March 26, 2008 But more than once per year, maar peren met chocolade is de lekkerste!aan elk van hem verkiezen, maar I veel chocolade met frambozenstroop! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 aan elk van hem verkiezen, maar I veel chocolade met frambozenstroop! Я не понимаю. Что вы говорили? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 26, 2008 Author Report Share Posted March 26, 2008 Я не понимаю. Что вы говорили? το bonanova μιλά κατά περιόδους με την καρφωμένη με τη διχάλα γλώσσα Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 το bonanova μιλά κατά περιόδους με την καρφωμένη με τη διχάλα γλώσσα What language is that? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 I cannot understand a single word.... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 I cannot understand a single word.... Lekker = yummy (tastey) Dutch Sorry, but it's only joyful banter you are not missing any information relevant to the math, geometry algebra etc Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 26, 2008 Author Report Share Posted March 26, 2008 What language is that?Nederlands, Deutsch and Ελληνικά [Greek] Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 26, 2008 Report Share Posted March 26, 2008 (edited) Stacking and/or folding get you more pieces. They're not forbidden in the OP. Imran, [post 25] I'm not sure how you get your results for 4 and 5 cuts. Can you make a sketch? My results are valid for only fat pan cakes like http://www.nikkish.net/jeff/blogpics/2006/032406_pancake.jpg here is my solution Otherwise with stacking we should double the pieces with every cut. So general solution will be 2 to the power N. If folding is also allowed then I guess we cannot find an exact answer as it depends on how much we fold. Edited March 26, 2008 by imran Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 27, 2008 Report Share Posted March 27, 2008 My results are valid for only fat pan cakes like http://www.nikkish.net/jeff/blogpics/2006/032406_pancake.jpg here is my solution Otherwise with stacking we should double the pieces with every cut. So general solution will be 2 to the power N. If folding is also allowed then I guess we cannot find an exact answer as it depends on how much we fold. They´re not pancakes, they`re yorkshire puddings! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 30, 2008 Report Share Posted March 30, 2008 I hate small pcs of pancake - 20/12 daughter eats them faster than I can count them. I cant count any way, but unravelling awkward little pcs of stuck together pancake - 3 rd experiment later I rolled up a pancake and made one cut - result six pcs. Interesting - could have made eight, but greed prevented further tests. How many more pcs can you get with three more cuts to go? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 7, 2008 Report Share Posted May 7, 2008 Anything conclusive on this yet BN? I rolled one that was ultra thin and cut it then left rolled and folded over several times and cut again. In practical terms this is messy, not to mention waste of a good pancake (again). thus I produced ten pcs with first cut and x 6 with second = 60. If I could have stacked them easily, then I would have doubled and doubled again (240). Theory is probably thousand or so - oh gosh or oh - CRUMBS! I'll cut up paper in future rather than ruin more pancakes! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 7, 2008 Report Share Posted May 7, 2008 I'm going to go with... 9, or 2N+1 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 7, 2008 Report Share Posted May 7, 2008 It all depends on if you like pancakes or .............. ...................not. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 7, 2008 Report Share Posted May 7, 2008 Wow, my last post was a total noob answer. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 7, 2008 Report Share Posted May 7, 2008 It all depends on if you like pancakes or .............. ...................not. So if you hate them you cut them up into little pcs? Or you don't hate them - and you cut them as little as possible but preferably a Coup de grace! Merciful death and destroy the evidence by eating! Quote Link to comment Share on other sites More sharing options...
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bonanova
Using a knife to make four straight-line cuts,
how many pieces can a single pancake be divided into?
Generalize for N cuts.
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