Android Rules 3 x 3 Grid

• Total valid patterns (length 4–9): 3,89,112

Counts by pattern length:

Dot Count	Total Patterns
4	1,624
5	7,152
6	26,016
7	72,912
8	1,40,704
9	1,40,704

Android rules prohibit jumping over unused dots.

• (Example: 1→3 not allowed unless 2 already used.)
• Minimum pattern length = 4, maximum = 9.
• Total valid unique patterns = 3,89,112.

Human-Like Android Pattern Lock Counts (4–9 Dots)

This table shows the total number of valid Android pattern locks based purely on human-like rules.

Rules Considered:

1. Adjacent Moves Allowed: Moves between dots that are horizontally, vertically, or diagonally within 100px are allowed.
2. Center Dot Rule: The center dot 5 can always be used in a move.
3. Skip Rules Ignored: Standard Android skip rules are not considered here.
4. No Repetition: Each dot can appear only once in a single pattern.

Dot Count	Total Human-Like Patterns
4	496
5	1,632
6	4,032
7	8,960
8	15,360
9	20,736

Note: These numbers can be exactly obtained using a DFS generation considering only human adjacency + center dot rules, without generating images.