How to Solve a Tapa Puzzle with Clues in a Circle

A Tapa puzzle asks you to shade cells around numbered clues while leaving every clue cell white. The numbers describe the lengths of separate shaded runs touching that clue. A clue marked 3,1 therefore needs one group of three shaded cells and one isolated shaded cell among its neighbours.

When the clues are arranged in a circle, the visual layout can make ordinary Tapa rules feel unfamiliar. The key is to separate the shape of the diagram from the logic of adjacency. Some circular puzzles use a ring-shaped board, while others place clues around a central area or allow the outer edge to connect back to the beginning.

This guide uses standard Tapa deduction and adds a careful method for reading curved boundaries. It is suitable for a first attempt at home, for timed practice, or for a puzzle session shared by enthusiasts in Sydney, Melbourne, Brisbane or elsewhere in Australia.

Read the circular grid correctly

Begin by identifying the actual cells, clue positions and board boundary. A round outline does not automatically mean that the top joins the bottom or that the left side joins the right side. In many diagrams, the circle is simply a compact border, and cells at the edge have fewer neighbours than cells in the middle.

Check the instructions for terms such as wraparound, continuous loop or toroidal grid. If none appears, use normal local adjacency: cells touch when they share an edge or a corner. A curved line between two cells is not enough evidence that they are neighbours. This first check prevents a large number of false deductions.

For a clue near the rim, count only the cells that genuinely surround it. If the puzzle uses a circular strip, label positions clockwise with small pencil marks. This makes it easier to track the first and last cells without accidentally treating them as separate ends when the rules say they connect.

Translate each clue into shaded runs

A clue’s numbers refer to distinct blocks of shaded cells in its neighbourhood. The blocks may touch the clue diagonally or orthogonally, but two blocks must be separated by at least one white cell. A single number such as 4 means one uninterrupted run of four shaded neighbours; 2,2 means two runs, each of length two.

Start with clues that have little room for variation. If a clue has eight available neighbours and displays 7, nearly all of those cells must be shaded, with a white separator required somewhere around the remaining space. If a 3,2 clue has exactly five usable neighbours, all five must be shaded and their arrangement must consist of a run of three and a run of two.

On a circular board, write the neighbouring cells in clockwise order. Then test possible runs around that sequence. A run can cross the point where your notes begin if the puzzle is genuinely cyclic, so avoid assuming that the first and last listed positions are separated.

Use white cells as actively as shaded cells

Mark a cell white whenever it cannot belong to a clue’s required run. White cells are especially powerful because they separate shaded groups. For example, if a clue needs 2,1 and one possible single cell is already white, the remaining shaded cells may be forced into a specific pair and isolated square.

Every clue cell itself remains white, and all shaded cells must form one connected region through shared sides. This global rule often resolves uncertain local patterns. If a proposed shaded arrangement would create a separate island, reject it even when each nearby clue appears satisfied.

The no-2-by-2 rule is equally important. No four cells forming a square may all be shaded. On a curved diagram, apply this rule to each genuine group of four adjacent cells, including any square that crosses a marked wraparound seam.

Work from overlaps around the ring

The strongest deductions usually come from two clues sharing one or more possible shaded cells. Suppose one clue needs a run of three and another needs a run of two, while their overlapping cells can serve both. Shade only the cells common to every valid arrangement, and mark cells excluded by all arrangements as white.

Progress around the circle in both directions rather than completing one clue before moving on. A forced white cell can split a long circular run, while a forced shaded cell can join two partial runs. After every change, revisit clues two or three positions away, since diagonal contact may make them relevant.

For a ring of clues, it helps to maintain a small clockwise sequence such as shaded, unknown, white, unknown. This avoids relying on the page orientation and makes wraparound deductions easier to see. In a timed setting, concise symbols reduce the risk of losing track of a chain of implications.

Verify the finished pattern

Before accepting a solution, inspect every clue independently. Count each contiguous shaded run in its full neighbourhood, including diagonal cells, and compare the lengths with the printed numbers. A clue showing 1,1 must have two separate single cells, not a touching pair.

Then check the whole board: all shaded cells should form one side-connected area, no 2-by-2 block should be entirely shaded, and no clue cell should be shaded. If the circle uses wraparound, inspect the seam as carefully as the centre. Many apparent solutions fail because the first and last positions actually touch.

For Australian solvers using downloaded practice sheets or puzzle books, keep the original source details visible when sharing examples with a club. The Copyright Act 1968 can affect reproduction of published puzzle material, while paid digital products are generally covered by Australian Consumer Law. Local groups can still compare solving methods freely without circulating complete copyrighted pages. A regular café session in Melbourne or an online meet-up timed across Sydney and Perth can provide useful practice, especially when participants explain why a circular deduction works rather than merely announcing the answer.