Consider the following situation: Alice is a hand-held device, such as a PDA. Bob is a device providing a service, such as an ATM, an automatic door, or an anti-aircraft gun pointing at the gyro-copter in which Alice is travelling. Bob and Alice have never directly met before, but share a key as a result of secure hand-offs. Alice has used this key to request a service from Bob (dispense cash, ...

The purpose of the series is to make available to specialists and the interested public the results of research that, because of its unconventional or controversial nature, might otherwise go unpublished. The editor actively encourages younger, not yet well established, scholars and independent authors to submit manuscripts for consideration. Contributions in any of the major scholarly language...

We study translation covers of several triply periodic polyhedral surfaces that are intrinsically Platonic. describe their affine symmetry groups and compute the quadratic asymptotics for counting saddle connections cylinders, including count cylinders weighted by area. The mathematical was initiated Novikov, motivated electron transport. we consider particular interest as they admit different ...

We consider rotations A; B of nite order in SO(3), about axes separated by an angle of restricted type, and attempt to classify the possible group relations between A and B. We show that the relations responsible for the symmetries of the Platonic solids have consequencies far beyond that simple geometric setting.