S.D. Codified Laws § 15-30-4
Current with legislation signed by the governor on or before 3/6/2024
A petition for the rehearing of a cause heard on appeal to the Supreme Court may be served and filed within twenty days after the date of filing of the formal opinion or the order of summary disposition. Any party may serve and file answer thereto within ten days after service of the petition. The petition shall state briefly the ground upon which a rehearing is asked and the points supposed to have been overlooked or misapprehended by the court, with proper reference to the particular portion of the printed record and to the authorities relied upon. The petition and answer may be typewritten.
SDCL 15-30-4