06-13-2006
| #1 (permalink) | |
 Curious | Help to a bug Hello! I need a help. Here is the question: There is a bug in a room. The room is 4 meters high, 4 meters wide and 10 meters long. The bug is sitting on the left (4x4) wall, one meter up from the ground, in the middle (position A). The bug must come to the goal (position B) which is on the totally right side, in the middle of the right wall (4x4), three meters up from the ground. Can the bug pass the distance less than 14 meters? (Sorry for my bad English). | |
 | ||
|
06-13-2006
| #2 (permalink) | |
 Ancora Imparo      Sponsor | Re: Help to a bug The distance between A and B is 10.2m, it can travel this path in under 14meters if that is what you meant  ---------------- Jay-qu ::Hypography Moderator of.. Chemistry, Physics & Mathematics, Astronomy & Cosmology, Space and Technology & gadgets Forums Einstein said that if quantum mechanics is right, then the world is crazy. Well, Einstein was right. The world is crazy. -Daniel Greenberger Physics Guides - Physics Resources and help | |
| | ||
|
06-13-2006
| #3 (permalink) | |
 Exhausted Gondolier  | Re: Help to a bug I think it means by crawling across walls, floor and ceiling. I also think it is homework. I can see exactly two routes of exactly 14 metres, and I can't see any briefer ones. ---------------- Who's afraid of the Big Black Hole????? Go Black Hole! W the Black Hole!  Hasta que el agujero negro nos traga, siempre! Hypography Forum PITA...... er, Administrator.  | |
| | ||
|
06-13-2006
| #4 (permalink) | |
| Ancora Imparo Sponsor | Re: Help to a bug oh so not a flying bug yeah 2 possible routes at 14 but dont see any less ---------------- Jay-qu ::Hypography Moderator of.. Chemistry, Physics & Mathematics, Astronomy & Cosmology, Space and Technology & gadgets Forums Einstein said that if quantum mechanics is right, then the world is crazy. Well, Einstein was right. The world is crazy. -Daniel Greenberger Physics Guides - Physics Resources and help | |
| | ||
|
06-13-2006
| #6 (permalink) | |
| Exhausted Gondolier | Re: Help to a bug Well, I was trying to minimize an alternative possibility but it takes a bit more doing than I hoped for, unless I've bungled the polynomials you would need to find any solutions to: Anybody in the mood? ---------------- Who's afraid of the Big Black Hole????? Go Black Hole! W the Black Hole! Hasta que el agujero negro nos traga, siempre! Hypography Forum PITA...... er, Administrator. Last edited by Qfwfq; 06-13-2006 at 07:52 AM. | |
| | ||
|
06-13-2006
| #7 (permalink) | |
| Exhausted Gondolier | Re: Help to a bug Gosh LaTeX doesn't seem to be working right.  , and again! Who's idea was it to have slashes and backslashes in sowtware languages!?!?! Anyway you appear to have beat me to it, or sort of... did you actually minimize the idea or did you just hit on a value that makes it under 14? ---------------- Who's afraid of the Big Black Hole????? Go Black Hole! W the Black Hole! Hasta que el agujero negro nos traga, siempre! Hypography Forum PITA...... er, Administrator. Last edited by Qfwfq; 06-13-2006 at 07:54 AM. | |
| | ||
|
06-13-2006
| #8 (permalink) | |
 Explaining | Re: Help to a bug edit: it can be done......i just figured it out, i think 13.9284 is the minimum.. it seems that the bug DOES cross the edge in the 10 by 4 rectangle. (i thought it shouldn't previously, I was wrong) see picture. there are many ways of "un-folding" the "room". the shortest path in these foldings are shown. it can be less than 14 ---------------- I have mistaken, apologized, and taken the consequences. My only regret, was for how I was bothered by the unchangable. Last edited by Tim_Lou; 06-13-2006 at 08:40 AM. | |
| | ||
|
06-13-2006
| #9 (permalink) | ||
| Exhausted Gondolier | Re: Help to a bug I agree Tim, if I haven't bungled things, after a quadrature my equation simplifies to a second degree one: which has a negative discriminant... no minima! Quote:
---------------- Who's afraid of the Big Black Hole????? Go Black Hole! W the Black Hole! Hasta que el agujero negro nos traga, siempre! Hypography Forum PITA...... er, Administrator. Last edited by Qfwfq; 06-13-2006 at 08:27 AM. | ||
| | |||
|
06-13-2006
| #10 (permalink) | |
| Exhausted Gondolier | Re: Help to a bug No, wait, that's: which has two solutions, -1 which I bet isn't good for the original equation, and 2/3. I don't have time to try the whole thing though, I'll tell you tomorow. ---------------- Who's afraid of the Big Black Hole????? Go Black Hole! W the Black Hole! Hasta que el agujero negro nos traga, siempre! Hypography Forum PITA...... er, Administrator. | |
| | ||
