  Extended CCD monitoring of RR Gem revealed that it is a Blazhko type RRab
star with the shortest Blazhko period (7.23d) and smallest modulation amplitude
(Delta Mmax<0.1 mag) currently known. The short period of the modulation cycle
enabled us to obtain complete phase coverage of the pulsation at each phase of
the modulation. This is the first multicolour observation of a Blazhko star
which is extended enough to define accurate mean magnitudes and colours of the
variable at different Blazhko phases. Small, but real, changes in the intensity
mean colours at different Blazhko phases have been detected. The Fourier
analysis of the light curves shows that, in spite of the mmag and smaller order
of the amplitudes, the triplet structure is noticeable up to about the 14th
harmonic. The modulation is concentrated to a very narrow, 0.2 phase range of
the pulsation, centred on the supposed onset of the H emission during rising
light. These observational results raise further complications for theoretical
explanation of the long known but poorly understood Blazhko phenomenon.
