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Tree Tent Rules

Ivan Ho edited this page Mar 2, 2023 · 11 revisions

Tree Tent

Tree Tent is a puzzle with unfilled squares (shown in gray). Your task is to place tents in such a way that the number of tents in each row and column is satisfied, and that each tree has a tent next to it.

Clicking on a unfilled tile places a grass tile.

Clicking on a grass tile replaces it with a tent tile.

Clicking on a tent tile returns it to being unfilled.

Rules

Here are the direct rules of the puzzle

  1. Each tent is attached to one tree (so the number of tents and trees are equal).

  2. The numbers down the side show how many tents are in the respective row or column.

  3. A tent can only be placed horizontally or vertically adjacent to a tree.

  4. Tents can never be placed adjacent to each other, neither vertically, horizontally, nor diagonally.

LEGUP Proof Rules

Direct Rules

Empty Field

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This rule comes directly from Rule #3. Use this rule to place grass tiles on any tile that isn't horizontally or vertically adjacent to a tree.

Finish with Grass

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This rule comes directly from Rule #2. Use this rule to place grass tiles on any tile in a row/column that has the required number of tents.

Finish with Tents

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This rule comes directly from Rule #2. Use this rule to place tent tiles on any tile in a row/column that has the same number of unfilled tiles as there are tents required.

Last Camping Spot

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Derivation of Rule #1. Use this rule to place a tent next to a tree which currently has no tents and is surrounded by grass/tree tiles.

Surround Tent with Grass

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This rule comes directly from Rule #4. Use this rule to place grass tiles on any tile that is vertically, horizontally, or diagonally adjacent to a tent.

Tent for Tree

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This rule comes directly from Rule #1.

Tree for Tent

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This rule comes directly from Rule #1.

Contradiction Rules

No Tent for Tree

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This rule comes directly from Rule #1. Use this rule if a derivation leads to a situation where no place for a tent to be placed vertically or horizontally adjacent to a tree.

No Tree for Tent

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This rule comes directly from Rule #1. Use this rule if a derivation leads to a situation where there is a tent that isn't placed vertically or horizontally adjacent to a tree.

Too Few Tents

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This rule comes directly from Rule #2. Use this rule if a derivation leads to a row/column having not enough tents to fulfil the requirements.

Too Many Tents

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This rule comes directly from Rule #2. Use this rule if a derivation leads to a row/column having more tents than the requirements state.

Touching Tents

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This rule comes directly from Rule #4. Use this rule if a derivation leads to a two tents being placed vertically, horizontally, or diagonally adjacent.

Case Rules

Fill in Row

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Use this rule to create a branch in the proof of all possible combinations of tents and grass tiles of a particular row

Links from Tent

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Use this rule to select a tent and create a branch in the proof where each branch contains a possible link between that tent in a tree.

Links from Tree

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Use this rule to select a tree and create a branch in the proof where each branch contains a possible link between that tree to any adjacent tents.

Tent or Grass

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Use this rule to create a split in the tree where the tile selected is a tent in one branch, and a grass tile in another branch

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