These hand signals that every diver should master after completing basic diving training are part of the international standard ISO 24801-2 and are therefore recognized by most diving organizations and incorporated into their basic diving training.
ISO 24801-2 is an international standard that defines the minimum requirements for the training of independent recreational divers. It describes what a diver must be able to do and know in order to dive safely with a buddy without direct supervision (e.g., by an instructor).
ISO 24801 series
ISO 24801-1: Supervised Diver
ISO 24801-2: Autonomous Diver
ISO 24801-3: Dive Leader
Image source: own work, graphic based on ChatGPT
Some of the most importand hand signals:
References: https://en.wikipedia.org/wiki/Diver_communications and Peter Southwood, CC BY-SA 3.0 <https://creativecommons.org/licenses/by-sa/3.0>, via Wikimedia Commons and https://www.taucherpedia.info/wiki/Unterwasserzeichen
Caution: In diving terminology, waving with your hands or one hand means emergency or help. Therefore, NEVER wave as a greeting. Simply use the surface signal for OK.