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Correct typo
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mcallisto committed Jul 15, 2024
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6 changes: 3 additions & 3 deletions src/main/paradox/tiling-definition.md
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Expand Up @@ -12,9 +12,9 @@ where T<sub><i>1</i></sub> , T<sub><i>2</i></sub> , … are known as tiles of

※2 **Closed**: Each tile is enclosed by its boundary.

※3 **Without gaps**: The union of all the sets T<sub>1</sub> , T<sub>2</sub> , … is to be the whole plane, _i.e._ { T<sub><i>1</i></sub> ∪ T<sub><i>2</i></sub> … ∪ T<sub><i>n</i></sub> } = 𝔼².
※3 **Without gaps**: The union of all the sets T<sub>1</sub> , T<sub>2</sub> , … is to be the whole plane, _i.e._ { T<sub><i>1</i></sub> ∪ T<sub><i>2</i></sub> … ∪ T<sub><i>n</i></sub> } = 𝔼².

※4 **Without overlaps**: The interior of the sets are to be pairwise disjoint, _i.e._ { int T<sub><i>i</i></sub> ∩ int T<sub><i>j</i></sub> } = ∅, ∀ (_i_, _j_) where _i__j_.
※4 **Without overlaps**: The interior of the sets are to be pairwise disjoint, _i.e._ { int T<sub><i>i</i></sub> ∩ int T<sub><i>j</i></sub> } = ∅, ∀ (<i>i</i>, <i>j</i>) where <i>i</i><i>j</i>.

@@@ note

Expand All @@ -40,7 +40,7 @@ Plus:

※6 **Polygons**: each tile T<sub><i>i</i></sub> in the tiling is a polygon.

※7 **Edge-to-edge**: each pair of boundaries δT<sub><i>i</i></sub> and δT<sub><i>j</i></sub> in the tiling, ∀ (_i_, _j_) where _i__j_, intersects along a common edge, at a vertex, or none at all.
※7 **Edge-to-edge**: each pair of boundaries δT<sub><i>i</i></sub> and δT<sub><i>j</i></sub> in the tiling, ∀ (<i>i</i>, <i>j</i>) where <i>i</i><i>j</i>, intersects along a common edge, at a vertex, or none at all.

※8 **Regular polygons**: each tile T<sub><i>i</i></sub> in the tiling is a regular polygon.

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