Room Synthesis
The numbers and colors on cards determine what doors can be opened. Certain criteria needs to be met during the Room Synthesis or else the door simply does not open. The value of the card you use to create a room also affects the criteria of doors to surrounding rooms, so plan ahead when choosing your cards.
Criteria: In the examples "n" is any given number.
n^ - Must provide a card with a value equal to or greater than n.
n(down) - Must provide a card with a value equal to or less than n.
n - Must provide a card with a value equal to n.
n>10 - If n is greater than 10, cards must be totaled to equal or surpass that value.
Color - Provide a card with the given color.
Key(gold) - Provide the matching Key card.
Zero cards (marked with a 0) can be used to match any value, but not including exacts.
There are certain special doors where you need to fulfill more than one criterion to open the door. An example would be seeing a red card with an =n value combined with a Key to Rewards.
The cards themselves also create rooms based on what card you use. In the Card section is a list that goes over which cards make what rooms and what color they are. The rooms that provide the greater challenge typically reap the greater rewards such as increased chances of enemy card drops, premium bonuses, and Key to Reward drops.