Fill in all cells of the grid so that every row, every column and every 3x3 block contains the digits 1 to 9 once. Make also a dissection of the grid into rectangles, one side of length 1 and the other one of at least 2. Each rectangle contains exactly one of the small numbers. The small numbers represent the sum of the cells of their rectangles.

Fill out the grid with numbers 1 to 4, so that each of these numbers occurs in each row and each column exactly once. Starting with the bottom left the spiral must have the following sequence of numbers 1 - 2 - 3 - 4 - 1 - 2 - ... - 3 - 4.

*Today's puzzle shows a toy maker, which cuts out with a jigsaw one Christmas arche. He broods over the way to paint the Yonbun. His figurines he can paint, he has frequently made it. But with the painting of Japanese puzzle, he is not so familiar. Can you help him?*

Fill the grid with tetrominos (4-cell blocks) in the colors red, blue, yellow and green. All cells are used. Blocks of the same color can only touch on the corners. The color in a circle indicates the color most frequently occurs in the immediate neighbourhood. If a X in a circle, there is no unique color that occurs most frequently.

Fill in each row and column three number from 1 to 9. The difference between each pair of numbers in the row or column must be equal. Moreover the numbers are ordered in the rows from left to right and in the columns from the top to the bottom (i. e., 1 - 2 - 3 oder 2 - 5 - 8 oder 3 - 5 - 7).

*During the Christmas season window pictures can also be seen in many windows of the Erzgebirge. These are mad with jigsaws, with a wood turning lathe or carved. Our puzzle shows the church of Seiffen. This church is the most popular theme of all the churches in the Erzgebirge. One finds it as a light house, as a pyramid, on Christmas Arches, on tableclothes, napkins ...*

Write in the twelve clouds around the church of Seiffen the numbers 1 to 12. Adjacent numbers have a difference of at least 3 and at most a difference of 6. No number can be repeated.

*The Christmas arches (Schwibbogen) are ubiquitous in the Erzgebirge as a symbol of light in the Christmas time. They shone for the miners if they left the mines. Light was very important for the miners because they entered the mines during the winter season before sunup and came back after sundown. From the first Advent weekend right up to February, there are very many windows in the Erzgebirge with Christmas Arches. Our shows one of the most popular motifs. We see various symbols in addition to two miners, a toy maker, a child and a woman bobbin lace maker. We also find Christmas decorations, a light angel and an Erzgebirgian candlelight spider. *

Let's come to the puzzle now:

Place the letters A, B, C and D in the grid so that precisely in each framed area each letter occurs once. In addition there is none set of four cells anywhere in the grid that is connected horizontally or vertically (corners are just as welcome as a line or a square) and has the sequence ABCD. Horizontally or vertically neighbored cells must be different.

*Natürlich kommt der Nikolaus auch im Erzgebirge. Aus diesem Anlass heute ein Futoshiki, ach nee, ein Schuhtoshiki.*

As everywhere in Germany Saint Nicholas is also coming in the Erzgebirge. On the previous night of December 6, children put one empty shoe outside, and on the following morning the children awake to find that St. Nicholas has filled their previously empty shoes with small presents. To celebrate the Saint Nicholas Day we have a Futoshiki, or better a Shoe-Toshiki.

Fill the Nicholas shoes with the digits 1 to 7. In each row and each column there is each digit exactly once. The relational symbols between the shoes show which shoe has the smaller number.

* As long as we are still waiting for the snow with great longing we have time to solve the following puzzle: *

Fill the letters A, B, C and D as in the grid. Every row, every column and every bold marked group of interconnected cells contains each letter exactly once. The letters of a bold marked group should be in the order ABCD.

*Although there is now a very nice Nutcracker Museum in Neudorf, the Nutcrackers today no longer seem to be the best sellers. In shops, they usually are on the top shelves. But I like some of them, such as the Olbernhauer Reiterlein (Olbernhauian Horsemans) and Munchausen. As in E. T. A. Hoffmann's fairy tale of the Nutcracker and the Mouse King, which we owe the Erzgebirgian Nutcrackers, we find in our puzzle hussars. Both want to color the grid with their uniform color. Please help them.*

Draw some blue and red triominoes (3-cell blocks) so that fields with the same color of different blocks are not orthogonally adjacent. All triomino of the same color are connected diagonally.

*Im Arzgebirg is wahrlich schie,
wenn´s draußen stermt un schneit,
un wenn de Peremett sich dreht,
is unnre schännste Zeit." (Part of a Christmas Song in the Erzgebirgian dialect)
*

*Today we start a Christmassy puzzle journey into the Erzgebirge (mountains in the south west and south of Saxony with many special Christmas traditions, also called Christmas County - Weihnachtsland). At many places we find beautiful Christmas pyramids, called Peremett in the local dialect, out of doors. At the first Advent weekend there is in many villages and little towns a ceremony called Pyramidenanschieben (Kick-Start of the pyramid). Lets put our numbers pyramid into motion: *

Each box contains one of the digits 1 to 9. The value of a cell is either the sum or the difference of the two cells under it. In yellow lines all numbers are different. In green lines just one number occurs twice, all other numbers are different. In pink lines exactly two numbers occur twice and all others are different. Fill out the grid with numbers 1 to 9 in accordance with these rules.