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Equations of wall-motion

Sleep Tight
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Hours of sleepless nights with a tautochrone curve or isochrone wallpapered bedroom,insomniacal determination in order to fall asleep via the results of the tautochrone problem, via wallpaper.
skinflaps, Jul 29 2011

Wikipedia: Tautochrone curve http://en.wikipedia...i/Tautochrone_curve
No matter where you start, you always reach the bottom at the same time. [jutta, Jul 29 2011]

[link]






       Details?   

       I was hoping for a bed and a tautochrone and frictionless floor myself, sliding you to the bottom in 8 hours, no matter where you start. Maybe your bedpost strikes a bell upon arrival?
jutta, Jul 29 2011
  

       A Newton's cradle tautochrone bell?
skinflaps, Jul 29 2011
  

       I think the frictionless floor might prove difficult to implement, [jutta].
pocmloc, Jul 29 2011
  

       Depends on the descent angle; many Newtonian fluids exhibit extremely low limiting resistances, certainly not enough to significantly affect the isochronous trajectory.   

       We will award a bun for an innovative idea.
8th of 7, Jul 29 2011
  

       I read the Wiki link, and I still do not understand. Please educate this member of the Great Unwashed.
Alterother, Jul 29 2011
  

       Yes but for an 8 hour descent, fitted into a bedroom-sized space?
pocmloc, Jul 29 2011
  

       [bigsleep] It's equation wallpaper.
skinflaps, Jul 29 2011
  

       Yes, Jim, but not as we know it ....
8th of 7, Jul 29 2011
  

       [bigsleep], I get that part, but I, too, fail to see the function of applying it to my bedroom walls.
Alterother, Jul 29 2011
  

       I'd never heard of the tautochrone curve before. I'm glad I saw this early enough in the day to get it figured out before bedtime, 'cause it *would* have kept me awake.
lurch, Jul 29 2011
  

       Instead of which, you'll now just have bizarre and disturbing dreams.   

       Seems like a fair trade.
8th of 7, Jul 29 2011
  

       //Newton's cradle tautochrone bell// You gonna half-bake that, [skinflaps]?
lurch, Jul 29 2011
  

       "Ding dong" Leslie phillips, no less.
skinflaps, Jul 29 2011
  

       // Equation wallpaper //   

       ie. my kid's bedroom idea. No, seriously.
RayfordSteele, Jul 31 2011
  
      
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