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

sum-star-examplesum-star-example-solution

Puzzles

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

PDF Sum Star

01. Medium

 sum-star-medium-01

02. Hard

sum-star-hard-02

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