𝗦𝘂𝗱𝗼𝗸𝘂: Normal sudoku rules apply. 𝗙𝗼𝗴 𝗢𝗳 𝗪𝗮𝗿: The grid is covered in fog. Placing correct digits reveals clues in the surrounding 3x3 area. 𝗦𝗽𝗶𝗿𝗮𝗹 𝗚𝗮𝗹𝗮𝘅𝗶𝗲𝘀: Divide the grid into galaxies: orthogonally connected groups of cells that have 180 degree rotational symmetry about their centers (marked with a large circle). All cells must be part of a galaxy; no galaxies overlap; a galaxy may be a single cell. Digits may not repeat in a galaxy. If given, a number orbiting a galaxy center shows the sum of all digits in that galaxy. 𝗭𝗶𝗽𝗽𝗲𝗿 𝗚𝗮𝗹𝗮𝘅𝗶𝗲𝘀: A "Z" orbiting a galaxy center marks a zipper galaxy where each digit and the cell rotationally opposite to it sum to the circled digit.