Logic Masters Deutschland e.V.

I've been trying to improve on this idea of cycles, and I think this one should be much more approachable. Please give me feedback on how I can improve or if you still find this ruleset to be too confusing, as I'd really like it if more people could give this a try as I think it can be pretty fun and offers some neat deductions.

Also, if you're curious about the terminology used in this ruleset as well as the puzzle name,see this wiki for more.

Links:

F-Puzzles
CTC App

Let a cycle be the horizontal path along a single row in the grid formed by starting with a digit A in column X, then looking at digit B in Column A, then the digit C in column B until returning to the initial cell.

Let the order of a cycle be the number of unique digits contained in a cycle. For example, in a valid 1-5-9 Sudoku puzzle, all 1's, 5's an 9's are contained in order 2 cycles (with the exception of the 1 in column 1, 5 in column 5, and 9 in column 9 which each in an order 1 cycle).

Cycle Rules:

In addition to normal thermo rules, the orders of cells along thermos strictly increase starting from the bulb.

In addition to normal killer rules, the orders of cycles inside a killer cage also equal the killer cages sum. Orders cannot repeat within a cage.

(n.b. - In cages without a clue, the sum of the digits in the cage still equals the sum of the order of it's cell's cycles. (so R8C2 has order equal to it's cell's digit, as does R9C5))

Examples:

See below for a killer cage and thermo which are both valid under these constraints. Cycles are illustrated in red. Note that for the killer cage, the orders of the cycles aren't necessarily the same as the value of the digits, but the sum does add to the indicated amount (3+7 = 2+8 = 10)