Originally posted by DejectionWell, ok, that is a theoretical result. I'd like to see someone try to successfully use that to bridge even 5 units of length (2.5 units from each side).
Idk. I know it's infinite for cards. You can experiment with cards if you like. Get a stack of cards, with length unit 2. Then push the top card out 1 unit, the next 1/2, the next 1/3. ect.
Since 1+1/2+1/3.... is infinity, then the length is infinite.
Originally posted by PBE6So far i've made it up to 5 but I've got the shakes after too many beers last night. I might be able to get to 7 when my hands settle down.
What is the longest single-penny width bridge you can make by stacking pennies on top of each other on the edge of a table?
Originally posted by wolfgang59Easy there, Frank Lloyd Right...I'm pretty sure he meant 7 coins...
thats a minimum of 226 coins (I think)
7 will take ... a MINIMUM of 1655 coins (I think) and a steady hand!
Originally posted by PBE6
Easy there, Frank Lloyd Right...I'm pretty sure he meant 7 coins...
OK! Found the glitch in my calculations. I get the harmonic series now, too. More specifically, the position "L" of the furthest edge of the top coin is given by:
L = sum(i=1...n) 1/(2i) = (1/2) * sum(i=1...n) 1/n
This series is divergent, so the theoretical length of the bridge is infinite.