He studied at the Academy of Arts, Architecture and Design in Prague, which was cancelled and Balcar had to move to the studio of František Muzika.
He finished his studies in 1953 and at the end of his short life, he often travelled abroad, especially to the United States of America.
He then turned to European trends and became one of the pioneers of the new wave of Czech abstract painting in the late 1950s.
At the beginning of the 1960s, he created abstract paintings, graphics and drawings with typographic and handwritten signs as symbols of the unpredictability of everyday reality.
In the following years Balcar reduces further to monochrome, dark images with pasty applied colour.