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wu :: forums    riddles    easy (Moderators: Icarus, ThudnBlunder, william wu, towr, SMQ, Grimbal, Eigenray)    if pi = 3 « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: if pi = 3  (Read 5413 times) Christine Full Member     Posts: 159 if pi = 3   « on: Apr 1st, 2013, 12:08pm » Quote Modify If pi were equal to 3, how would an (inscribed) hexagon look like? IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: if pi = 3   « Reply #1 on: Apr 1st, 2013, 2:01pm » Quote Modify A bit smaller. IP Logged Christine Full Member     Posts: 159 Re: if pi = 3   « Reply #2 on: Apr 1st, 2013, 2:28pm » Quote Modify In an inscribed hexagon, the ratio of the length of a side of the hexagon to the minor arc that it intercepts would be equal to 1.   IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: if pi = 3   « Reply #3 on: Apr 1st, 2013, 5:35pm » Quote Modify It kind of shows that pi cannot be 3. Whatever the Bible says. IP Logged Christine Full Member     Posts: 159 Re: if pi = 3   « Reply #4 on: Apr 2nd, 2013, 11:22am » Quote Modify I didn't have that in mind. on Apr 1st, 2013, 5:35pm, Grimbal wrote:   Whatever the Bible says.   I'm just fascinated by the fact that pi is an irrational number, and was wondering what if pi was not irrational, but a rational number, what sorts of geometrical shapes we might get. IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: if pi = 3   « Reply #5 on: Apr 2nd, 2013, 1:01pm » Quote Modify The trouble is, to get pi to be 3 you need to curve space in a very peculiar way so that circumference/radius = 2pi = 6. Which I can't really imagine how to do for all possible radii at the same time. For example, it doesn't work like that on a sphere, where "pi" shrinks from pi at the pole to 2 at the equator, to 0 at the opposite pole. I'm not mathematician to say with certainty whether that's impossible, and certainty not to devise such a space if it isn't. « Last Edit: Apr 2nd, 2013, 1:02pm by towr » IP Logged Wikipedia, Google, Mathworld, Integer sequence DB webtasarim Newbie     Gender: Posts: 47 Re: if pi = 3   « Reply #6 on: Oct 6th, 2013, 4:11pm » Quote Modify smaller than old one IP Logged Annettagiles Junior Member     Gender: Posts: 67 Re: if pi = 3   « Reply #7 on: Sep 29th, 2014, 4:45am » Quote Modify It would looks very small I think so. IP Logged wakiza33 Junior Member industrial Engineer // Berkeley Alumnus     Posts: 54 Re: if pi = 3   « Reply #8 on: Sep 29th, 2014, 12:31pm » Quote Modify on Apr 1st, 2013, 5:35pm, Grimbal wrote: It kind of shows that pi cannot be 3. Whatever the Bible says.   I giggled IP Logged Binder Jetting Engineer Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------=> easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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