Interesting. Who would get to appoint their replacements? Or would a quorum simply consist of a certain percentage of those seats that haven't been declared vacant?
Vacant seats require special elections.
ec. 203.001. APPLICABILITY OF CHAPTER. This chapter applies to the offices of
state senator and state representative.
Acts 1985, 69th Leg., ch. 211, Sec. 1, eff. Jan. 1, 1986.
Sec. 203.002. VACANCY FILLED AT SPECIAL ELECTION. An
unexpired term in office may be filled only by a special election in accordance with this chapter.
Acts 1985, 69th Leg., ch. 211, Sec. 1, eff. Jan. 1, 1986.
https://statutes.capitol.texas.gov/Docs/EL/htm/EL.203.htm#203.001