Thermo-Kropki Pairs Sudoku by Philip Newman

(This post is part of the Genuinely Approachable Sudoku (GAS) series.)
Join some old friends in this combination of two popular GAS variants, Thermo- and Kropki Pairs, appearing together without other variants for the first time in GAS.

Thermo-Kropki Pairs Sudoku by Philip Newman

PDF

or solve online (using SudokuPad)

Author/Opus: This is the 77th puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS) team.

Rules: Insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region. Some thermometer shapes are in the grid; numbers must be strictly increasing from the round bulb to the flat end. Also, if a white circle is given between two adjacent cells, then the two numbers in those cells must differ by 1. If a black circle is given between two adjacent cells, then the two numbers must have a ratio of 2. Pairs of cells without circles can have any relationship.

GAS Time Standards (highlight to view): Two party hats (🎩🥳): 7:00; One party hat (🥳): 13:00. All other solvers earn a 🦕: Pairwise Pachysuchus.

Thomas Hits the GAS (highlight to view): 3:00, with SudokuPad replay file shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).

Solution: PDF; solving video with explanation to be added later from GAS team.

Note: Follow this link for other less common variations of Sudoku.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Daily GAS discussion post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access.

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