Find a puzzle

The case notes

When every black dot is shown

All markers named in this lesson are shown. Watch a worked example, then try the idea in a puzzle.

Put it into practice

All black dots are marked

A black Kropki dot joins digits where one is double the other. This puzzle says every black dot is shown.

No black dot: no double

Here is a two beside a cell with no dot between them. Because every black dot is marked, this bare edge cannot be a doubling pair.

2 and 4 need a black dot

Four is double two. If four went here, the pair would need a black dot. There is none, so four is out.

Consecutive may still work

Three is consecutive with two, but that is a white-dot relationship. Only black dots were declared complete, so this rule does not remove three.

Read the transcript

A black Kropki dot joins digits where one is double the other. This puzzle says every black dot is shown. Here is a two beside a cell with no dot between them. Because every black dot is marked, this bare edge cannot be a doubling pair. Four is double two. If four went here, the pair would need a black dot. There is none, so four is out. Three is consecutive with two, but that is a white-dot relationship. Only black dots were declared complete, so this rule does not remove three.

Keep following the clues