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Vertex (geometry): Quiz

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Question 1:
Which of the following titles did Vertex (geometry) have?
Conway Polyhedron Notation
Star Polyhedron
Polyhedron Vertex
Szilassi Polyhedron

Question 2: Vertices are commonly used in ________ to define the corners of surfaces (typically triangles) in 3D models, where each such point is given as a vector.
Computer graphics2D computer graphicsRendering (computer graphics)Scientific visualization

Question 3: In a polygon, a vertex is called "convex" if the internal angle of the polygon, that is, the ________ formed by the two edges at the vertex, with the polygon inside the angle, is less than π radians; otherwise, it is called "concave" or "reflex".
AngleLatitudeTriangleGeometry

Question 4: In ________, a vertex (plural vertices) is a special kind of point which describes the corners or intersections of geometric shapes.
GeometryManifoldMathematicsAlgebraic geometry

Question 5: A vertex of a plane tiling or ________ is a point where three or more tiles meet; generally, but not always, the tiles of a tessellation are polygons and the vertices of the tessellation are also vertices of its tiles.
TessellationPolyhedronCubeTetrahedron

Question 6: More generally, a vertex of a polyhedron or polytope is convex if the intersection of the polyhedron or polytope with a sufficiently small ________ centered at the vertex is convex, and concave otherwise.
ManifoldSphereGeometry3-sphere

Question 7: A vertex is a corner point of a ________, polyhedron, or other higher dimensional polytope, formed by the intersection of edges, faces or facets of the object: a vertex of a polygon is the point of intersection of two edges, a vertex of a polyhedron is the point of intersection of three or more edges or faces, and a vertex of a d-dimensional polytope is the intersection point of d or more edges, faces or facets.
Regular polytopeDodecahedronCross-polytopePolygon

Question 8: The vertex of an ________ is the point where two rays begin or meet, where two line segments join or meet, where two lines intersect (cross), or any appropriate combination of rays, segments and lines that result in two straight "sides" meeting at one place.
GeometryLatitudeAngleTriangle

Question 9: More generally, a tessellation can be viewed as a kind of topological ________, as can the faces of a polyhedron or polytope; the vertices of other kinds of complexes such as simplicial complexes are its zero-dimensional faces.
TopologyTopological spaceCW complexManifold







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