Abstract
A knot in S 3 is said to have crosscap number two if it bounds a once-punctured Klein bottle but not a Moebius band. In this paper we give a method of constructing crosscap number two hyperbolic ( 1 , 2 ) -knots with tunnel number one which are neither 2-bridge nor ( 1 , 1 ) -knots. An explicit infinite family of such knots is discussed in detail.
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