belbel2 Posted October 26, 2013 Report Share Posted October 26, 2013 Hi everyone,This is probably my second topic on IB Exploration HL, but I have finally chosen a topic which I find interesting and fun to investigate. I am investigation the Gabriel's Horn Paradox and the limitations to it (why it isn't technically that much of a paradox). I wanted to ask you guys if you know about this paradox? If you do, what limitations do you see to this paradox? I have read about it being a special case, like harmonic series. Can't really understand that! If anyone could help out... http://en.wikipedia.org/wiki/Gabriel%27s_Horn#Apparent_paradoxFurthermore, what should I include in the exploration? Should I start by actually showing proof of the paradox and then getting into limitations? Opinions on how to structure an exploration are welcome!Thank you guys! Reply Link to post Share on other sites More sharing options...
maroctam Posted October 30, 2013 Report Share Posted October 30, 2013 Well, I read the wikipedia page and the first thing that comes to mind is to actually find its volume by using core content from the HL course - using integrals and rotating curves to find volumes of shapes, and improper integrals. Then you can try to find its surface area by differentiating the equation you have for your integral. Afterwards, discuss the implications of the "paradox" and explain why it isn't exactly a paradox. You could also mention other shapes that do this, like the Koch Snowflake. I don't what else you could do, and whether or not that would suffice for an IA. Either way, good luck! 1 Reply Link to post Share on other sites More sharing options...
8ashoo3 Posted December 4, 2019 Report Share Posted December 4, 2019 On 10/30/2013 at 1:46 PM, maroctam said: Well, I read the wikipedia page and the first thing that comes to mind is to actually find its volume by using core content from the HL course - using integrals and rotating curves to find volumes of shapes, and improper integrals. Then you can try to find its surface area by differentiating the equation you have for your integral. Afterwards, discuss the implications of the "paradox" and explain why it isn't exactly a paradox. You could also mention other shapes that do this, like the Koch Snowflake. I don't what else you could do, and whether or not that would suffice for an IA. Either way, good luck! Can you help me with an outline please? Reply Link to post Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.