Newly discovered binary system VSX J052807.9+725606 -- the only ``twin" of V361 Lyr

During more than 20 years the well studied short periodic binary system V361 Lyr with an extremely asymmetric light curve figured in many papers as a unique system with a direct impact of matter which caused a rather large steady hot region. According to the classical model of this star, due to the hot spot, the phase curve exhibits a strong asymmetry Andronov et al. 1987; Hilditch et al. 1997). However, another star VSX J052807.9+725606 was discovered, which shows similar features of the light curves: very strong asymmetry of maxima, wavelength dependence of amplitude and the shift of the secondary minimum from the phase 0.5. We also present the results of further multi-color B, V, R photometric study of this exotic star, obtained with the 1.25-m telescope of the Crimean Astrophysical Observatory. The variability of color indices yields the corresponding changes of color temperature. We also compare both stars and analyze the first models of VSX J052807.9+725606, based on pure photometry computed using the Binary Maker 3.