Killer Tetrakis Square

Here is a type that borrows some constraints from Aziz Ates’ Triangular Skyscrapers puzzle in the 2016 US Puzzle Championship practice test.   The result is a close cousin of my specialty, Killer Sudoku, so I’ve made these puzzles harder than normal.

Rules

Fill numbers into the grid of four rows and four columns of 8 cells each such that:

  1. Every row and column contains each integer from 1 to 8 exactly once.
  2. Cages, represented by dotted lines, indicate the sum to which all included cells must add.
  3. Numbers may not repeat within a cage
  4. Each number must appear exactly once in each of the four triangle orientations (pointing NE, NW, SE, SW)  All of the “1” cells are highlighted in the example answer to demonstrate this.

Example

Killer Tetrakis Square ExampleKiller Tetrakis Square Example Solution

Puzzles

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

PDF Killer Tetrakis Square

01. Medium

 Killer Tetrakis Square Medium 01

02. Hard

Killer Tetrakis Square Hard 02

03. Hard

Killer Tetrakis Square Hard 03

04. Expert

Killer Tetrakis Square Expert 04

05. Expert

Killer Tetrakis Square Expert 05