# More Bottles in a Wine Rack

This is an extension of the Bottles in a Wine Rack configuration, which was problem #44 in the delightful problem book *Which Way Did the Bicycle Go?*. At the the end of the solution section, the authors ask whether the solution is extendable to more than the original total of 13 bottles. The applet below allows for experimentation in the more general case.

What if applet does not run? |

With N bottles at the bottom, we have to consider 2N-1 layers of bottles. It's not hard to see that the situation repeats itself. Much of the time the bottles in the top layer are all horizontal. However, when the radius is so small as to almost allow an ^{st}

### References

- J. Konhauser, D. Velleman, S. Wagon,
*Which Way Did the Bicycle Go?*, MAA, 1996

- A Circle-Stacking Theorem
- A Property of Rhombi
- Bottles in a Slanted Rack
- Bottles in a Wine Rack
- More Bottles in a Wine Rack
- Proofs and Generalizations

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