Such a beauty! This has to be one of my favorite plants. 
The common name for syngonium is arrowhead vine due to it's noticable shape consistent throughout all syngonium varieties. 
This genus is known to either bush out with consistent pruning back to encourage splitting, or vining up if given a trellis or moss pole. 
Propagation is easy with these guys, simply find a node on the vine, cut 1 cm below the node at a slight angle, and dip in water. Roots will appear within 2 weeks, and then you can repot. 
Fertilize every month starting in spring, ending in fall, with a diluted half strength fetilizer. Ease back to every 2 months or not at all in the winter.
 
Light - Loves bright indirect light with either morning or evening direct sun,
Water - Regular watering1-2 weeks, but check soil. Do not over water, but keep the soil moist and well draining.
Pot - Try to size up slowly, but won't put up a fuss if repotting into a larger pot. Likes looser draining soil.
Humidity - Loves high humidity, try to maintain 50-60% levels. It will adapt during the winter to drier house levels, but it's growth will slow down.