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Interactive Puzzle Format

Number Placement Graphs

This family covers puzzles where numbers must be placed into circles or cells on a graph so the structure satisfies a rule: equal sums on lines, fixed sums on triangle sides, or adjacency restrictions like “consecutive numbers cannot touch”.

Sandbox
Build and test your own layouts, tokens, and constraints.

The authoring sandbox supports free-positioned nodes, graph edges, preset star and triangle layouts, prefilled values, highlighted target cells, equal-sum groups, and “no consecutive numbers on connected nodes” rules.

Open Number Placement Sandbox
Equal-Sum Layouts
Star and triangle boards where each line or side must match a target total.
Arrange 1 to 9 on the star

Place the digits 1 to 9 in the circles so that every straight line of three circles sums to 15.

Solver reached the configured solution cap before exhausting the search tree.
Groups 0/4
5
Tokens
Selection
Node: none
Token: none
Live feedback
Current placement is still consistent.
Adjacency Layouts
General graphs where connected nodes cannot contain consecutive numbers.
No consecutive numbers on connected circles

Place the digits 1 to 6 in the circles so that no connected pair contains consecutive numbers.

Consecutive conflicts 0
Tokens
Selection
Node: none
Token: none
Live feedback
Current placement is still consistent.
What This Module Covers

Equal-sum line puzzles such as the 7-node and 9-node star diagrams.

Triangle-side puzzles with 6 or 9 nodes, including versions with one value already given.

“Which number goes in the highlighted circle?” variants, where the engine checks the target answer across all valid completions.

General adjacency graphs where neighboring nodes must avoid consecutive values.