Spiral Galaxies

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Spiral Galaxies Example.png Spiral Galaxies Example Solution.png

Divide the grid into polyomino-shaped regions such that each cell is in exactly one region. You may only draw on the grid, as indicated by the dotted lines. Each region must be rotationally symmetric and contain exactly one dot at the point of symmetry.

(Rules and example from PGP IB)

History of the puzzle[edit]

First appeared on Nikoli volume 96 (2001). Invented by ゲサク ("Gesaku"). Original title was 天体ショー ("Tentaisho," namely "Celestial Show"), which is a pun on 点対称 ("Tentaishou," namely "point symmetry").


Spiral Galaxies^2[edit]

Spiral Galaxies^2 Example.png Spiral Galaxies^2 Example Solution.png

Invented by Rohan Rao (India). First appeared on WPC 2017/Round 20.

Divide the grid into 180° symmetrical regions along the gridlines. Each region must contain exactly one circle, which represents the central symmetry point of the region. All circles are given. Some cells may not be part of any region. All the used cells must together form a single connected area that is 180° symmetrical.

(Rules and example from WPC 2017 IB)

Galaxies and Pentominoes[edit]

Galaxies and Pentominoes Example.png Galaxies and Pentominoes Example Solution.png

Hybrid with Pentominoes. First appeared on WPC 2018/Round 6. The puzzle was by Jiří Hrdina (Czech Rep).

Place the twelve pentominoes into the grid so that they do not touch each other, not even diagonally. Numbers below and to the right indicate the number of cells used by the pentominoes in the respective row and column. Pentominoes may be rotated and reflected. Divide the remaining cells so that each region is rotationally symmetric and contain exactly one dot at the point of symmetry.

(Example (using 4 pentominoes) from WPC 2018 IB)

Appearances on past WPCs[edit]