Autoglyphs 7.2
(Published on 23. August 2025, 18:15 by juddimal)
If you have enjoyed the Autoglyph series, then SURPRISE, this is something completely different.
(1) Where are the numbers? An autoglyph is a self-describing symbol, nobody said the symbol had to be a number. In this puzzle, you may find a 5 on a square that sums to 25, because FIVE SQUARED.
(2) This puzzle is twice as hard as the previous puzzles in the series.
While you are here, go do Autoglyphs 4. It's my favorite in the series!
Normal sudoku rules apply.
ANTI-KNIGHT: Cells separated by a knights move may not contain the same digit.
AUTOGLYPH: Lines create geometric shapes. Cells that contain a line are part of a glyph that have additional constraints described below.
SQUARE: Any lines that create a square shape are made up of cells that sum to a square number, Sx=x*x, and must contain exactly one digit x.
TRIANGLE: Any lines that create a triangular shape are made up of cells that sum to a triangular number, Tx=x(x+1)/2, and must contain exactly one digit x.
https://sudokupad.app/zruo2qpyut
Examples
Box 1 has a square shape and sums to 25. 25 is a square number, the root is 5, so 5 must appear exactly once on the glyph. S5=5x5=25.
Box 2 has a triangle shape and sums to 15. 15 is the triangular number for 5, so 5 must appear exactly once on the glyph. T5=(5*6)/2=5+4+3+2+1=15.
Box 3 contains three shapes. The square is eight digits that sum to 36 and contains a 6. S6=36. The left triangle is six digits that sum to 36 and contains an 8, T8=36. The right triangle has six digits that sum to 28 and contains a 7, T7=28.
Solution code: Column 1 (9 digits)
Comments
on 23. August 2025, 18:16 by juddimal
Apologies. I released Autoglyphs 7 last week, and there was an error in the shapes made in box 9, so that quickly got deactivated. Here is a reworked version.
