Determine all solutions in non-zero integers $a$ and $b$ of the equation $$(a^2+b)(a+b^2) = (a-b)^3.$$ Suppose that the set $\{1,2,\cdots, 1998\}$ has been ...
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These problems are INMO~ish level. So trying this would be a good practice for INMO! Let $ABCD$ be a quadrilateral. Let $M,N,P,Q$ be the midpoints of ...
This problem is the same level as last year's P2 or a bit harder, I feel. No hand diagram because I didn't use any diagram~ (I head solved it) ...
A visual exploration of the intersection between geometry and artificial intelligence. This interactive map organizes the AI landscape into five ...
Geometry Challenge 1614: Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics ...
From space, the El Chino Copper Mine in New Mexico reveals a surprising world of circles, arcs, symmetry, and geometric patterns.Viewed through Google ...
Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.Discover an elegant identity ...
Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.In Problem 1621, we explore ...
Explore the link between Machu Picchu’s timeless stonework and MIT’s Guennette sculpture through geometry, mass, space, and time—an echo of Einstein’s ...
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