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5. A hexagon is a hexagon inscribed in a
reference triangle that has sides which are
alternately parallel and antiparallel to the
corresponding sides of the triangle.
6. Theorem that says the internal (external)
bisecting plane of a dihedral angle of a
tetrahedron divides the opposite edge in the
ratio of the areas of the adjacent faces.
7. Dog on a leash
1. The first one of these of a tile is the set of
all tiles that have a common boundary point
with that tile (including the original tile itself)
2. The curve a hanging flexible wire or chain
assumes when supported at its ends and acted
upon by a uniform gravitational force.
3. Theorem that says If A is a unital Banach
algebra where every nonzero element is
8. Average distance between two points
chosen at random in cube line picking
9. A prime number of the form 2^n-1
invertible, then A is the algebra of complex
numbers (one of the names)
4. 10^(42)
10. A certain graph on 1782 vertices