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	Deset vět o pražském orloji Křížek, Michal ; Šolcová, A. ; Somer, L. We present ten geometrical and algebraical theorems that have a close connection with the astronomical clock (horologe) of Prague. In particular, we found that there is a remarkable relationship between the triangular numbers and the bellworks of the astronomical clock. Detailed record
	Optimal control of linear dynamical systems with a quadratic criterion Křížek, Michal ; Šolcová, A. We study linear dynamical systems with a quadratic criterion. We prove that the minimum of a criterion functional depends ounly on the initial value of the optimal control. Detailed record
	Šindelovské posloupnosti a pražský orloj Křížek, Michal ; Šolcová, A. ; Somer, L. We show that there is a very close relationship between triangular numbers and the bellworks of the astronomical clock of Prague. To this end we define a Šindel sequence and present an algorithm which generates such a sequence Detailed record
	Od Fermatových prvočísel ke geometrii Křížek, Michal The purpose of this paper is to provide readers with a brief overview of the most beautiful results on the Fermat primes. A special emphasis is the employment of geometric interpretation of several number-theoretic results. Detailed record
	Which is the connection among chaos, fractals and number theory Křížek, Michal ; Šolcová, A. We show that there are several very close connections between chaos and fractals and between fractals and number theory. Detailed record

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