Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

Mathematics of Operations Research, Vol. 34, No. 4 (Nov., 2009), pp. 869-879 (11 pages) Consider the supposedly simple problem of computing a point in a convex set that is conveyed by a separation ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Credit: Visualization of a narrow leaf-environment diffuse interface. Credit: Vishnu Muraleedharan, Sajeev C Rajan, Jaishanker R Complexity of biological forms has fascinated humankind over the years.

Daniel Trugman, assistant professor in the Nevada Seismological Laboratory (NSL), and Avigyan Chatterjee, doctoral student in the NSL, have published a research article in the journal Nature about how ...

Whether it’s a 3D printed robot chassis or a stained glass window, looking at a completed object and trying to understand how it was designed and put together can be intimidating. But upon closer ...

One example of geometric frustration is how a pentagon cannot neatly tile the plane without gaps. Researchers at the University of Michigan are showing how this frustration gives rise to complexity in ...

Researchers from SUTD and HUJI have developed the most stretchable 3D printed hydrogel in the world -- it can be stretched up to 1300 percent. The hydrogel is also suitable for UV curing based 3D ...