Bádám

Jsem spoluautorem následujících publikací:

Opatrny, T., & Stepanek, P. (2018). Asymmetric Foucault pendulum dynamics with analogies to the Lipkin-Meshkov-Glick quantum phase transitions and other quantum phenomena. arXiv preprint arXiv:1806.09485.

Chladná, Z., Kopfová, J., Rachinskii, D., & Štepánek, P. (2021). Effect of quarantine strategies in a compartmental model with asymptomatic groups. Journal of Dynamics and Differential Equations, 1-24.


Bridges Linz 2019 Art Exhibition Catalog. Tessellations Publishing, Phoenix, Arizona, USA (© 2019 Tesselations). ISBN: 978-1-938664-29-8

Once I opened my eyes, once I took in the first deep breath in this marvellous play of colours and forms, once I began a part of this mysterious world. Much later, when I grew up, I slowly opened my eyes again and began to see another form of beauty: an astonishing beauty of mathematics behind most of aspects of this physical reality we have been born in. Now I consider this world to be not only beautiful, but also graceful in its crystalline mathematical background and I imperfectly try to share this worldview with people around me.

Circle of Fifths

Circle of Fifths, 40 x 40 cm, Print on paper, 2019

A circle of fifths represents a sequence of tones, each higher of one fifth (3:2) than the previous one. Frequency of each tone due to reference frequency of C is shown as a projection of linear harmonograph. Frequencies of all tones are achieved here by successive steps of fifths (3:2) up and octaves (2:1) down, accordingly all other derived intervals are then imperfect. This is a source of two aspects: firstly, curves of those intervals seems to be asymmetric and unordered at the beginning, however, during following evolution create a pattern of beauty and inner structure, secondly, the whole circle seems to transform itself into a spiral, while we are not reaching back the original tone, but a tone slightly higher (Pythagorean comma).



Music for Strings, Percussion and Celesta

Music for Strings, Percussion and Celesta, 30 x 76 cm, Print on paper, 2019

This canvas represents a spectrogram of the first movement of one of Béla Bartók’s best known compositions. Musical structure is built on the Fibonacci numbers sequence: 21 bars of exposition of melody, removal of violin mutes at bar 34 and the highest musical climax at bar 55, which is clearly visible as a strong vertical line, dividing the 89 bars long movement approximately in the golden ratio. This image can be read as a score: horizontal axis represents time pointing from first tone to the last one, vertical axis represents frequency from 0 to 20 000 Hz while colour describes sound intensity level at any point.