This paper studies generalizations of the classical Apollonian circle packing, a beautiful geometric fractal that has a surprising underlying integral structure. On the one hand, infinitely many such ...

The world of geometry just witnessed a pivotal breakthrough. Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ Circle ...

Shiva’s Technologies Institute, Delphi, Greece. We finally consider how the Golden Ratio is the first of bizarre functions that preserve the decimal part or Equanimous Inverses. IM 67118, also known ...

Circle theorems are properties that are true for all circles, regardless of their size. There are six theorems to learn and recognise. Questions can have a combination of theorems. It is important to ...

Abstract: The conclusions of the Gershgorin circle theorem are significantly extended for the special case of real matrices. The extended result is applied to the problem of the absolute stability of ...