Patterns with desired aesthetic appearances and physical structures are ubiquitous. However, such patterns are challenging to produce - manual authoring requires significant expertise and efforts while automatic computation lacks sufficient flexibility and user control. We propose a method that automatically synthesizes vector patterns with visual appearance and topological structures designated by users via input exemplars and output conditions. The input can be an existing vector graphics design or a new one manually drawn by the user through our interactive interface. Our system decomposes the input pattern into constituent components (tiles) and overall arrangement (tiling). The tile sets are general and flexible enough to represent a variety of patterns, and can produce different outputs with user specified conditions such as size, shape, and topological properties for physical manufacturing.