2:I[5751,[],""] 4:I[8003,["138","static/chunks/138-338b445c4cbceabf.js","3","static/chunks/3-b4862a6e1de95ec0.js","628","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/%5Bid%5D/page-257c971832fd49dc.js"],"default"] 6:I[9275,[],""] a:I[1343,[],""] b:I[101,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] c:I[6324,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] 13:I[4080,["185","static/chunks/app/layout-f07fbac6855a712f.js"],""] 14:I[231,["138","static/chunks/138-338b445c4cbceabf.js","986","static/chunks/986-a23d2b0476d0b49a.js","368","static/chunks/app/papers/%5BpaperId%5D/page-879e8aaf99bd7bd0.js"],""] 16:I[6130,[],""] 5:T62e,

Answer: ["A","D"]

Key insight
A tile creates a seamless pattern if it can tessellate the plane without gaps or overlaps — the key is whether the tile's edges can be paired with matching complementary edges on adjacent tiles (possibly through rotation or reflection).

Step by step
Step 1: Observe how tile X tessellates in arrangement Y — it uses a combination of translation and possibly rotation to interlock seamlessly.
Step 2: For each option tile, test whether its protruding parts exactly fit into the recesses of adjacent copies.
Step 3: Option A — the tile has complementary convex/concave edges that interlock when translated or rotated. ✓
Step 4: Option B — the irregular curves of the tile do not align to create gap-free tiling. ✗
Step 5: Option C — the shape has asymmetric protrusions that cannot pair with adjacent copies. ✗
Step 6: Option D — the tile's shape allows seamless interlocking when arranged in a grid. ✓
Therefore the answer is A and D.

Why wrong options are wrong
Option B: The tile's outline is non-reciprocal — the bum

Tile X was used to create a pattern which is seamless (without gaps), when arranged as shown in Y. Which of the tiles from the options will create a seamless pattern?