  We investigate the conformational properties of a multi-branched polymer
structure with a dendrimer-like topology, known as a snowflake polymer. This
polymer is characterized by two parameters: $f_s$, which represents the
functionality of the central star-like core, and $f$, which represents the
functionality of the side branching points. To analyze the conformational
properties, we have employed various approaches, including analytical methods
based on direct polymer renormalization and the Wei's approach as well as
numerical molecular dynamics simulations. These methods have allowed us to
estimate a size and shape characteristics of the snowflake polymer as functions
of $f$ and $f_s$. Our findings consistently demonstrate the effective
compactification of the typical polymer conformation as the number of branching
points increases. Overall, our study provides valuable insights into the
conformational behavior of the snowflake polymer and highlights the impact of
branching parameters on its overall compactness.
