when-ai-fails

Claude Sonnet 3.5

I’ll analyze this Set layout and find all valid Sets. Let me go through each potential combination systematically.

First, let me review what makes a valid Set: three cards where for each attribute (shape, number, color, shading), either all three cards have the same value or all three have different values.

Here are all the Sets I found:

  1. Cards 1, 6, 11: All ovals/squiggles/ovals (all different) All 2s (all same) All red (all same) All solid/solid/hashed (all different)

  2. Cards 3, 7, 9: Ovals/diamonds/diamonds (all different) 2/3/3 (all different) Green/green/red (all different) Solid/outlined/hashed (all different)

  3. Cards 3, 8, 12: Ovals/squiggles/ovals (all different) 2/3/3 (all different) All green (all same) Solid/outlined/solid (all different)

  4. Cards 2, 4, 9: Oval/squiggle/diamond (all different) 1/1/3 (all different) Purple/green/red (all different) Hashed/outlined/hashed (all different)

  5. Cards 2, 5, 11: Oval/diamond/oval (all different) 1/3/2 (all different) Purple/green/red (all different) All hashed (all same)

  6. Cards 4, 9, 10: Squiggle/diamond/oval (all different) 1/3/1 (all different) Green/red/purple (all different) Outlined/hashed/outlined (all different)

That’s all the valid Sets present in this layout.