Author Archives: Danilo Roccatano

About Danilo Roccatano

I have a Doctorate in chemistry at the University of Roma “La Sapienza”. I led educational and research activities at different universities in Italy, The Netherlands, Germany and now in the UK. I am fascinated by the study of nature with theoretical models and computational. For years, my scientific research is focused on the study of molecular systems of biological interest using the technique of Molecular Dynamics simulation. I have developed a server (the link is in one of my post) for statistical analysis at the amino acid level of the effect of random mutations induced by random mutagenesis methods. I am also very active in the didactic activity in physical chemistry, computational chemistry, and molecular modeling. I have several other interests and hobbies as video/photography, robotics, computer vision, electronics, programming, microscopy, entomology, recreational mathematics and computational linguistics.

Lissajous-Bowditch curves

Try to glue a small mirror to an end of a bent piece of wire fixed to a stable platform and let the laser beam of a laser pointer reflect on it. Entangled spires of an ephemeral dragon of light will … Continue reading

Posted in Uncategorized | Leave a comment

The Magic Imaginary Numbers

Complex numbers may appear a difficult subject given the name. However, there is nothing of really complicated about complex numbers. However, they definitively add a pinch of \em magic \em in the mathematics manipulations that you can do with them!

Posted in Uncategorized | Leave a comment

Berechnung der Konstante von Madelung

Die gesamte Coulomb-Potentialenergie eines Kristalls ist die Summe der einzelnen Terme der elektrostatischen Potentialenergie zum Laden von Ionen   e und  getrennt nach Entfernung . Die Summe erstreckt sich auf alle im Festkörper vorhandenen Ionenpaare für alle kristallinen Strukturen. Die … Continue reading

Posted in Science Topics | Leave a comment

The Fourier Series

Pure mathematics is much more than an armory of tools and techniques for the applied mathematician. On the other hand, the pure mathematician has ever been grateful to applied mathematics for stimulus and inspiration. From the vibrations of the violin … Continue reading

Posted in Uncategorized | Leave a comment

La Serie​ di Taylor

La serie di Taylor è un utilissimo strumento matematico ma a volte difficile da comprendere per gli studenti. In questo blog, ne darò una breve descrizione dando qualche esempio di applicazione. Chi è il signor Taylor? Brook Taylor (1685 – … Continue reading

Posted in Uncategorized | Leave a comment

The Taylor Series

The Taylor series is a mathematical tool that, sometimes, it is not easy to immediately grasp by freshman students. In this blog, I will give a short review of it giving some examples of applications. Who is Mr. Taylor? Brook … Continue reading

Posted in Uncategorized | 1 Comment

Modeling Natural Shapes: Sunflowers Florets and the Golden Ratio

Il girasole piega a occidente e già precipita il giorno nel suo occhio in rovina …  from the poem  “Quasi un madrigale” by Salvatore Quasimodo.  

Posted in Programming, Science Topics | Leave a comment