Abstract
We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration Rg, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by 
. The universal amplitude 
can be related to (geometry dependent) correlation exponents of long polymers. We compute 
for phantom polymers, and for self-avoiding (including star) polymers by 
-expansion, as well as by numerical simulations in 3 dimensions.