The following seems like a counterexample to the conjecture as originally stated, allowing different size coins. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.) (I haven't done "formal" algebra to verify this, but just looking at it, it seems to be so.)
Edit by OP: Here's another look at your idea.
The following seems like a counterexample to the conjecture as originally stated, allowing different size coins. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.) (I haven't done "formal" algebra to verify this, but just looking at it, it seems to be so.)
Edit by OP: Here's another look at your idea.
The following seems like a counterexample to the conjecture as originally stated, allowing different size coins. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.) (I haven't done "formal" algebra to verify this, but just looking at it, it seems to be so.)
Edit by OP: Here's another look at your idea.
I'm not sure if this isThe following seems like a counterexample to the conjecture as originally stated, but I think it might beallowing different size coins. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.) (I haven't done "formal" algebra to verify this, but just looking at it, it seems to be so.)
Edit by OP: Here's another look at your idea.
I'm not sure if this is a counterexample, but I think it might be. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.)
Edit by OP: Here's another look at your idea.
The following seems like a counterexample to the conjecture as originally stated, allowing different size coins. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.) (I haven't done "formal" algebra to verify this, but just looking at it, it seems to be so.)
Edit by OP: Here's another look at your idea.
I'm not sure if this is a counterexample, but I think it might be. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.)
Edit by OP: Here's another look at your idea.
I'm not sure if this is a counterexample, but I think it might be. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.)
I'm not sure if this is a counterexample, but I think it might be. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.)
Edit by OP: Here's another look at your idea.
