  Spinors are used in physics quite extensively. The goal of this study is also
the spinor structure lying in the basis of the quaternion algebra. In this
paper, first, we have introduced spinors mathematically. Then, we have defined
Tribonacci spinors using the generalized Tribonacci quaternions. Later, we have
established the structure of algebra for these spinors. Finally, we have proved
some important formulas such as Binet and Cassini-like formulas which are given
for some series of numbers in mathematics for Tribonacci spinors.
