Logic Masters Deutschland e.V.

Here's a set of 6x6 puzzles all using a variation on the cycle constraint.

Cycles: Let a cycle be a set of cells in the same row of the grid created by repeatedly going to the column number indexed a cell's digit. E.g. for a cell in column 7 with a value of 1, the next cell in the cycle is the cell in column 1, the next cell is the cell in the column number matching the digit in column 1 and so on until reaching a column whose digit is 7 which would point back to the starting column. The number of cells/length of a cycle is defined as the cycle's order

For all puzzles, in addition to the normal variant rules, orders of cycles follow the same variant rules. e.g. orders of cycles in a killer cage sum to the clue in the top left corner, and orders cannot repeat. See the links above for a more detailed description of each specific variant given the above definition of cycles and orders.

Note that the order does not necessarily have to equal the digit of the cell to satisfy the constraint. e.g. A thermo may have digits of 1->2 -> 3, and cycles of order 4 -> 5 -> 6. For the quadruple clues, the same cell must satisfy both constraints though, so a 4 in a quad clue means one of the 4 surrounding digits is a 4 and that same cell is part of an order 4 cycle.