A journal of visual puzzles and curious forms

Look twice.
Find another rule.

A sequence of three corner shapes and one open position A dark quarter circle occupies the top left corner of the first tile, top right of the second and bottom right of the third. The fourth tile contains a question mark. ?

A position is open. Decide which relationship you want to continue.

01 / Follow the turn

What belongs
in the open space?

Look at the corner where the filled shape begins. Is the important relationship its position, the direction it points, or the empty area it leaves behind?

Choose a rule before drawing the next tile. Then ask whether another rule could fit the same beginning.

Reveal one way to read it

Follow the filled corner clockwise: top left, top right, bottom right, then bottom left. That rule gives the fourth tile a clear role. A different rule would need to explain all three earlier tiles as well.

02 / Let the empty part become a shape

The gap has
an outline too.

It is easy to name the dark pieces and overlook the space they make together. Try describing only the pale area. Where does it narrow, turn, or open?

Changing the focus can reveal a second composition inside the first one. You have not added anything; you have chosen a different relationship to notice.

Four dark shapes define a pale central opening A square, two angled blocks and a curved piece surround a pale space whose outline changes direction.
Follow the pale boundary from one dark piece to the next.

Describe the connection.

Choose two neighbouring pieces and explain the interval between them. A small shift can change the central opening without changing the pieces themselves.

Try a second reading

Cover one outer piece with a scrap of paper. Notice which part of the pale boundary disappears. The missing edge can show how much that piece contributed to the whole.

Four equal triangles shown as a square and as a longer broken arrangement The same four pieces form a compact square on the left and an open zigzag on the right.

03 / Same pieces, another whole

Change the meeting,
not the material.

One arrangement closes into a compact shape. The other opens a direction and leaves some edges waiting. The pieces have stayed the same, but the relationship has changed.

Take the experiment further

Make four matching paper triangles. Keep the number and the colours constant, then compare a closed arrangement with an open one. Describe the outer boundary before deciding which version you prefer.

A useful way to play

A rule is something
you can explain.

A visual puzzle becomes more interesting when the answer includes a reason. Point to the pieces that support your reading and name the relationship that connects them.

Try the obvious rule. Then ask what else could be happening.

When another person sees a different pattern, compare the explanations. Does each account fit the whole arrangement? Which detail makes one reading stronger, and what would need to change for the other to work?

The aim is not to turn every image into a test. It is to make attention a little more flexible and give a surprising shape somewhere to lead.

Make a small puzzle.
Leave a good clue.

The guide turns one shape and one clear rule into a visual question someone else can explore.

Try the puzzle guide