Equality Cages 112: Entropic modularity

by gUBBLOR & Schwupel · Difficulty 5 of 5 by gUBBLOR & Schwupel

CASE 1721

Equality Cages 112: Entropic modularity

by gUBBLOR & Schwupel Open on SudokuPad

CommissionergUBBLOR

More from gUBBLOR

  • Equality cages
  • Kropki dots
  • XV and number dots
  • Modular lines
  • Entropic lines

The brief

Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.

Entropy: The orange lines are entropic lines. Each set of three consecutive digits on a line must be one each from (1,2,3), (4,5,6), and (7,8,9). Digits may repeat on a line.

Modularity: The green lines are modular lines. Each set of three consecutive digits on a line must be one each from (1,4,7), (2,5,8), and (3,6,9). Digits may repeat on a line.

Equality Cages 112: How Difficult Can an Equality Cage Sudoku Get? Contains the full solution
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