Sudoku on: 
 
 SudokuPad   
Sudoku: Fill every row, column and marked 3x3 box with the digits 1-9.
 Triple-Headed Beasts:  The grid contains 18 Triple-Headed Beast cells devided into two seperate sets of nine cells each. Cells from the same set may not repeat in a row, column or marked 3x3 box and both sets have to contain the digits 1-9 once each. Within a marked 3x3 box the two Triple-Headed Beast cells (one of each set) may not appear in the same row or column. 
The value of a Triple-Headed Beast cell from one set is the sum of the digits in the three Triple-Headed Beast cells from the other set sharing its row, column or marked 3x3 box.
For all other cells, the value matches the digit in the cell.   
Lines of Silence: Along red lines the values in adjacent cells have to differ by 9 or more.
Thermo: Along thermometers values have to strictly increase from the bulb to the tip. The bulbs in r3c3 and r5c5 share a tip.
Have fun solving!
Solution code: The values of all triple-headed beast cells that are not on red lines in the usual reading order (top-to-bottom, left-to-right)
today, 22:36 by Zanno
Amazing Puzzle! I wished I had three Heads to keep track of all the min-max dependencies. But bite my way through and it was very satisfying. 
today, 13:07 by Justalilguy
Incredible setting, Math-Tyas!
today, 05:27 by Andrewsarchus
Very nice addition to the pantheon of monstrous modifiers! And the Lines of Silence was the perfect constraint to showcase them. Quite a beast of a puzzle, but very satisfying to solve.
yesterday, 13:39 by zeniko
Cute (but beastly hard, indeed). Thanks for sharing.
yesterday, 02:31 by bansalsaab
Phew. That was a beast all the way.
on 29. October 2025, 21:26 by War
Very Hard, but rewarding. Excellent idea with the three headed beasts. Break-in was approachable, and some min-maxing made for beautiful logic. Yet I am looking forward to my next chaconopeia treat
on 29. October 2025, 17:21 by Mad-Tyas
Rule clarification
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