Oil and fats are made up of fatty acids. They are simply the building blocks of soap and each fatty acid creates a different soap with different qualities.
Triglycerides are present in every oil or fat used in soap making. A triglyceride has a glycerol molecule which is like a tree trunk and three fatty acids which are like its branches. Every fatty is made up of a unique chemical composition that adds different characteristics to the functioning and structure of the end fatty acid salt.