(This post is part of the Genuinely Approachable Sudoku (GAS) series.)
In this Thermo-Kropki Pairs Sudoku, numbers are not provided, even upon request. Inquire inside for details.

PDF

or solve online (using SudokuPad)

Theme: Upon Request

Author/Opus: This is the 157th puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS) team.

Rules: Standard Thermo-Sudoku 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 🦕: Vehicular Vahiny.

Thomas Hits the GAS (highlight to view): 2:24, 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

Note: Follow this link for more Thermo-Sudoku puzzles. If you are new to this puzzle type, here are our easiest Thermo-Sudoku to get started on. More Thermo-Sudoku puzzles can be found in these books in our e-store. Also, visit this page to purchase all of the puzzles from the 16th World Sudoku Championship including some Thermo-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.