Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

A necessary and sufficient condition is given for all hyperoblic difference schemes that use up to nine mesh points to be of second-order accuracy. We also construct a new difference scheme for ...

Mathematics of Computation, Vol. 47, No. 176 (Oct., 1986), pp. 713-727 (15 pages) We show how the Gelfond-Baker theory and diophantine approximation techniques can be ...

A new study by mathematicians at Freie Universität Berlin shows that planar tiling, also known as tessellation, is far more than a decorative ...