Sum Star

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:

1. Each dodecagon contains the numbers 1-9 exactly once.
2. Numbers in cells sharing a vertex with a black triangle add up to the indicated sum without repeating.
3. 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

01. Medium

 

02. Hard