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--- pow:problem1s24 [2024/02/07 06:16] – created mazur
+++ pow:problem1s24 [2024/02/19 04:24] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange|Problem 1 (due Monday, February 5) >
+Consider a convex polyhedron whose every face is a triangle. We color the vertices of the polyhedron in 3 colors.
+Prove that the number of faces of the polyhedron whose vertices are of all three colors is even.
+</box>
+We received solutions from Sasha Aksenchuk and Maximo Rodriguez. Both solvers observe that a polyhedron
+with triangular faces has an even number of faces and use it in their solutions. For a complete
+solution see the following link {{:pow:2024sproblem1.pdf|Solution}}.