Group Dynamics

Normal Sudoku rules apply. RECURRENT LINES- Any three consecutive numbers on an orange line have the same set of numbers. AVERAGE LINES- The sum of all numbers on each blue line has an average of 5. SUMMED REGIONS- Numbers in dashed regions sum to the number in the top left corner of the region. Numbers may repeat on blue lines and in regions, if other rules allow. KROPKI PAIRS- Numbers with a white dot between them are consecutive. Not all possible dots are shown.