Babadağ, FaikUslu, Merve2025-01-212025-01-2120212147-1630https://doi.org/10.37094/adyujsci.852037https://search.trdizin.gov.tr/tr/yayin/detay/501218https://hdl.handle.net/20.500.12587/23170In this paper, by using identities related to the tessarines, Fibonacci numbers and Lucas numbers we define Fibonacci tessarines and Lucas tessarines. We obtain Binet formulae, D’ocagnes identity and Cassini identity for these tessarines. We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector. © 2021, Adiyaman University. All rights reserved.eninfo:eu-repo/semantics/openAccessFibonacci numbers; Fibonacci tessarine vector; TessarinesArticle11226327510.37094/adyujsci.8520372-s2.0-85159846231Q3501218