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PlayPumpkin

Block Puzzle

Board size

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Fill a row or a column on the board and it clears. Your game saves after every piece you place.

How to play

Choose a 10×10 or a 9×9 board and press Play. The board starts empty, with a tray of 3 pieces below it.

  1. Put a piece from the tray on empty squares where all of it fits. Use the 3 in any order.
  2. Every row and column the piece completes clears at once. Nothing falls into the gap.
  3. Once all 3 are placed, the tray fills with 3 new pieces.

Each square you place is 1 point. A piece that completes lines adds 10 times the number of lines squared: 10 for 1 line, 40 for 2, 90 for 3.

When no piece left in the tray fits anywhere, the game ends on “No room left”. There is no clock and no undo.

Controls

Action Touch Mouse Keyboard
Pick a piece Tap it in the tray Click it in the tray 1, 2 or 3, or Tab to it and press Enter
Drag a piece into place Drag it from the tray onto the board Drag it from the tray onto the board Pick and aim instead
Aim the picked piece Tap a square: an outline shows where it goes Point at a square Arrow keys or W, A, S, D
Place the picked piece Tap the same square again Click the square Enter or Space
Pause or resume Pause or Resume button Pause or Resume button Esc

The square you tap or aim at is where the piece’s middle square lands; on a 2×2 square, that is its top-left one.

On a phone held sideways, the squares can get smaller than a fingertip. Then arrow buttons appear under the tray to move the picked piece, with a Place button to put it down.

Tips and strategy

Clear a line when you can, and tuck pieces in when you can’t

Putting each piece in the first spot that fits ends a game fast. Clear as many lines as you can, and when nothing clears, push the piece against the edges and filled squares: a computer that played this way lasted about ten times longer.

Keep a 3-by-3 space open

Only 1 new piece in 29 is the 3×3 square. Still, 7 games in 10 played by clearing lines first ended with it stuck in the tray. Keep room for it and both 5-long lines before anything else, and a game lasts about a third longer again.

Find room for all 3 pieces before placing one

Nearly every game ends with 1 or 2 pieces still in the tray. In games played by clearing lines first, more than 4 times in 10 that whole tray could have gone down in another order or in other spots.

Finish 2 lines with one piece

Say rows 9 and 10 are full except their last 2 squares. Two flat 2-square pieces clear a row each: 12 + 12 = 24 points. Stand them upright side by side, and the second one clears both rows for 2 + 42 = 44.

About Block Puzzle

Every piece here is a polyomino. The mathematician Solomon W. Golomb named them, building the word from domino. He wrote about them in The American Mathematical Monthly in 1954. The set has all 28 polyominoes of 1 to 4 squares, counting each turn and mirror image apart, plus 6 of 5 squares and the 3×3 square.

Frequently asked questions

Can I turn or flip a piece?
No. Each turned or mirrored version of a shape is a separate piece, so the L of 4 squares comes in 8 versions.
Why did the game end with half the board empty?
A big piece had nowhere to go. The 3×3 square needs a solid 3-by-3 block of empty squares, and a board can be half empty without one.
Is the 9×9 board harder than 10×10?
Yes. It has 81 squares but the same pieces, so it fills up faster: a computer keeping room for the big pieces lasted less than half as long there. Each size keeps its own best score.

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