Describing SET Using an Affine Space

Event Type

Research Presentation

Academic Department

Mathematics and Statistics

Location

Dana Science Building, 2nd floor

Start Date

24-4-2026 1:00 PM

End Date

24-4-2026 2:30 PM

Description

This paper will explore the popular card game SET in the lens of Affine spaces, specifically the four-dimensional affine space over the three element field. Once this one-to-one correspondence is created between the deck of cards and the points within this Affine Space, we can identify sets as triples of collinear points. Using this geometric structure, we are able to find the maximum cards needed to find a collectible set.

Comments

Under the direction of Dr. Tim Magee.

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Apr 24th, 1:00 PM Apr 24th, 2:30 PM

Describing SET Using an Affine Space

Dana Science Building, 2nd floor

This paper will explore the popular card game SET in the lens of Affine spaces, specifically the four-dimensional affine space over the three element field. Once this one-to-one correspondence is created between the deck of cards and the points within this Affine Space, we can identify sets as triples of collinear points. Using this geometric structure, we are able to find the maximum cards needed to find a collectible set.