Step 1: The question asks which of the listed methods is NOT a recognised system for charting or numbering teeth.
Step 2: Review the genuine dental numbering and charting systems. The FDI two-digit system, named for the Federation Dentaire Internationale, divides the mouth into four quadrants and gives each tooth a two-digit code, and it is the internationally accepted method. Anatomic and diagrammatic charting records teeth pictorially on a chart. Palmer notation, the Zsigmondy-Palmer system, uses quadrant grid symbols with numbers 1 to 8 for permanent teeth.
Step 3: The "Harder acrogenic method" is not a recognised dental numbering or charting system. It is a fictitious distractor and has no place in forensic odontology.
Step 4: Other valid systems not listed here include the Universal numbering system, numbered 1 to 32. All real systems serve to identify individual teeth, which is important for forensic identification.
Conclusion: The method that is not used for dental numbering is the Harder acrogenic method, so the correct answer is option 4.