Chimerism refers to organisms possessing more than one genetic identity. The term “chimera” comes from a mythological composite creature made from parts of other animals. In humans, a chimera can be the result of two embryos becoming fused. This is considered to be very rare.
It all takes place during pregnancy. Normally a male gamete (sperm) and a female gamete (ova) fuse together to form a zygote (the initial cell that will ultimately give rise to the embryo). This contains DNA from the mother and DNA from the father. Sometimes two male gametes will fuse with two female gametes which gives rise to fraternal twins.
These twins are not identical twins and so their DNA is distinct from each other. Now in rare occasions these two embryos can fuse and instead of there being two children a mother gives birth to just one which has been formed from four gametes instead of the usual two. This is a chimera and it will have two distinct sets of DNA.