Snowflake in the same micro-environment does not guarantee that each arm grow the same; indeed, for some crystal forms it does not because the underlying crystal growth mechanism also affects how fast each surface region of a crystal grows. Empirical studies suggest less than 0.1% of snowflakes exhibit the ideal six-fold symmetric shape. Very occasionally twelve branched snowflakes are observed; they maintain the six-fold symmetry. Snowflakes form in a wide variety of intricate shapes, leading to the notion that "no two are alike". Although nearly-identical snowflakes have been made in laboratory, they are very unlikely to be found in nature. Initial
Symmetrical components Symmetrical components In electrical engineering, the method of symmetrical components simplifies analysis of unbalanced three-phase power systems under both normal and abnormal conditions. The basic idea is that an asymmetrical set of "N" phasors can be expressed as a linear combination of "N" symmetrical sets of phasors by means of a complex linear transformation. In the most common case of three-phase systems, the resulting "symmetrical" components are referred to as "direct" (or "positive"), "inverse" (or "negative") and "zero" (or "homopolar"). The analysis of power system is much simpler in the domain of symmetrical components, because the resulting equations are mutually