Logic Masters Deutschland e.V.

Remark: The word "Rollo" is not only a nick here in the portal (stressed on the first syllable) but in german also the expression for "roller blind" (then normally stressed on the second syllable).

While grubbing around in a second-hand bookshop some weeks ago I found in an area with puzzlebooks of such specialists as Zweistein and Smullyan a roller blind. Of course I was quite astonished since such curtains normally have nothing what soever to do with books or puzzles.

Uncoiling it I found a picture:

In one corner the following list of puzzletypes was stitched:
- Fillomino
- Seitenlängen-Zerlegung (Rectangle Sides; I couldn't find this one in the wiki. Thanks to kiwijam for this english name.)
- Sikaku (engl. Shikaku)
- Tapa
- Tentacles (Naoki)
- Vier Winde (Four Winds; haven't found this one in the Wiki either.)
- Walls (Naoki)

Well, I thought, of course I should take it with me, since it will have some kind of "puzzling" meaning.

While studying this item at home I had the idea, the diagram might be readable in a special Rollomanner. First the bottom row can be considered alone. Then - after some further uncoiling - the two bottommost rows might be taken together and so on until finally all six lines of the diagram are visible. Thus six different diagrams would occur.

All right, but why are seven puzzletypes in the list? In trying to relate the seven types to the six diagrams I came up with the conclusion, that there is only one combination to relate one type to each diagram, to make up six puzzles with unique solutions. This means: If a diagram leads in the interpretation as a puzzle of one puzzletype to no or more than one solution, this relation is not part of the final solution.

Which puzzletype is related to which diagram of the puzzlerollo?

Here once more the diagram:

The instructions for Fillomino, Shikaku and Tapa can be taken from the Puzzlewiki.

Seitenlängen-Zerlegung (Rectangle Sides)
Dissect the diagram along the gridlines into rectangles and squares so that each area contains exactly one number and each cell is part of one area and the number indicates one of the two sidelengths of the area.

Tentacles
Draw tentacles starting from the center of each cell that has a number. The tentacles go horizontally and vertically through the centers of cells. Each number indicates the length of the tentacle that extends from that cell. Tentacles do not touch or cross each other and each empty cell is used by exactly one tentacle. (for examples look at http://puzzle.gr.jp/kahua/kahua-web/hima/tentacle.pdf and Tentakel)

Vier Winde (Four Winds)
Draw horizontal and vertical lines into the diagram, each beginning at a number. Each empty cell is used by exactly one line. The numbers in the cells give the number of cells, which are covered by the lines starting at this cell.

Walls
Place a horizontal or vertical linesegment in each empty cell. Numbers indicate the total lengths of the segments that are connected to the associated cell. Only the segments till other numbers or the end of lines count. (for examples look at http://puzzle.gr.jp/kahua/kahua-web/hima/wall.pdf and Walls)