From 239b1a29b6b70bc0d5bb15a002432dc903c8725f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Mario=20C=C3=A0llisto?= Date: Mon, 15 Jul 2024 23:00:54 +0200 Subject: [PATCH] Correct typo --- src/main/paradox/tiling-definition.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/main/paradox/tiling-definition.md b/src/main/paradox/tiling-definition.md index efe9a50..16590a9 100644 --- a/src/main/paradox/tiling-definition.md +++ b/src/main/paradox/tiling-definition.md @@ -12,9 +12,9 @@ where T1 , T2 , … are known as tiles of ※2 **Closed**: Each tile is enclosed by its boundary. -※3 **Without gaps**: The union of all the sets T1 , T2 , … is to be the whole plane, _i.e._ { T1 ∪ T2 … ∪ Tn } = 𝔼². +※3 **Without gaps**: The union of all the sets T1 , T2 , … is to be the whole plane, _i.e._ { T1 ∪ T2 ∪ … ∪ Tn } = 𝔼². -※4 **Without overlaps**: The interior of the sets are to be pairwise disjoint, _i.e._ { int Ti ∩ int Tj } = ∅, ∀ (_i_, _j_) where _i_ ≠ _j_. +※4 **Without overlaps**: The interior of the sets are to be pairwise disjoint, _i.e._ { int Ti ∩ int Tj } = ∅, ∀ (i, j) where i ≠ j. @@@ note @@ -40,7 +40,7 @@ Plus: ※6 **Polygons**: each tile Ti in the tiling is a polygon. -※7 **Edge-to-edge**: each pair of boundaries δTi and δTj 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 δTi and δTj in the tiling, ∀ (i, j) where i ≠ j, intersects along a common edge, at a vertex, or none at all. ※8 **Regular polygons**: each tile Ti in the tiling is a regular polygon.