Compatibility of tetraiamonds, pentiamonds and hexiamonds

Margarita Lukjanska dedicated her research to a new, challenging and in general unsolved problem of combinatorial geometry, namely to determining the common multiples of afore-mentioned shapes. These shapes consist of 4, 5 and 6 equilateral triangles respectively joined edge to edge. A common multiple of two shapes is defined in the same way as that one for the whole numbers. No effective method is known; there are very few publications on compatibility problem. She was able to construct common multiples (or to prove compatibility) in 158 cases out of 171 considered. Moreover, she suggested few methods to prove incompatibility. In fact the findings of Margarita Lukjanska lie in the research foreground of this subject. Some of common multiples can be immediately used in creating new mechanical puzzles of a top quality. For example, assemble two equal shapes using all 11 pieces shown below. For example, assemble two equal shapes using all 11 pieces shown below.
 

 

Kristaps MEKSS (17)

City/Region: Riga
E-mail: k-mekss@apollo.lv
Hobbies: Computers, Theatre, Chemistry
Career: Chemist
School: Riga Centre Language School

Dihydropyridines nowadays

Gene engineering has been considered to be the most perspective method for different illness treatment for more than 15 years. The principle of the gene therapy sounds very simple: the damaged genes of the cells of an organism are replaced with “corrected” ones, but actually this action is more complicated. In order to transport DNA to the right place i.e. in cell’s nucleus, it is necessary to use an aid of a specific substance that acts as a transport for the appropriate genes.
More and more scientists are looking for non-toxic, safe gene transports. The aim of the project was to synthesize such a substance. So in the framework of the project a novel substance (cationic amphiphilic 1,4-dihydropyridine derivative) was created which has been recently tested and belongs to an effective gene delivery substance class in vitro (in the culture of the cells).
 

Kaspars DAMBIS (19)

City/Region: Kegums
E-mail: kaspars@autokross.lv
Hobbies: Autocross racing, Skiing, Ice and roller skating, go-cart
Career: Mechanical Engineer
School: Riga State Gymnasium No. 1

Performance of a vehicle determined using hand made pendulum

Have you ever wondered why Markus Gronholm wins the World Rally Championship? How can the drivers know what type of tires lead to win the best results? Physical measurements of a car’s performance had to be made to find the answer, but – “what and how to measure?” Kaspars Dambis has designed an apparatus that accompanied by a computer data logging system determines the acceleration, velocity and power of a vehicle also helps to make the decisions about what tires to use, how to configure the vehicle’s engine, how to enhance the car’s suspension, etc. The correct decisions on all of these factors lead to affective use of the vehicle’s power resources and the best results. It is a unique solution for car racing drivers because of the construction of the apparatus and the data logging software designed by the author.