Here’s a type that came together in my notebooks back in October 2016. It’s nearest rectangular precedent is Gapped Kakuro by Serkan Yürekli. A puzzle of this type will be featured today on Grandmaster Puzzles.

### Rules

Fill cells with numbers and shade all remaining cells such that:

- Each dodecagon contains the numbers 1-9 exactly once.
- Numbers in cells sharing a vertex with a black triangle add up to the indicated sum without repeating.
- A shaded cell cannot share an edge with another shaded cell.

### Example

### Puzzles

All of the puzzles can be found organized in this printable PDF, or in the images below.

**PDF **Sum Star