Logic Masters Deutschland e.V.

I set this one while coming off of anesthesia (from dental work) so this may not be apt for human consumption.

• Tessellation rules:
• Place digits from 1-9 in each square and octagonal cell.
• Cells sharing an edge can't have the same digit.
• Each horizontal row and vertical column contains a non-repeating consecutive set of digits in any order.
• Shade some cells so that the shaded cells form a connected region and the non-shaded cells also form a connected region. Three cells around an inner vertex of the grid may not be all shaded or all non-shaded.
• Cells marked with a circle contain a digit that counts the number of neighbor cells, including itself, that are in the same region (shaded/unshaded).
• Cells marked with a diamond contain a digit that counts the number of neighbor cells that are not in the same region (shaded/unshaded).
• All possible circles and diamonds are given.

Online in Sudokupad / Online in Penpa+

See also:

• el quinto sol

Examples:

• A good shading around an inner vertex can be seen marked with a green circle: here the two octagonal cells are the same color while the square is different.
• A bad shading around an inner vertex can be seen marked with a red X: here all three cells are the same color.
• An octagon and two squares never meet at the same vertex. The three cells of the same color at the bottom of the picture don't share any vertex: each square meets the octagon at a different vertex, marked in blue.