# Dodecahedron: Quiz

Question 1:
Which of the following titles did Dodecahedron have?
 Member of Parliament for West Lothian Elongated Dodecahedron Senator for New South Wales Malt Liquor Tastes Better When You've Got Problems

Question 2: The ________ of a dodecahedron is 2 arctan(φ) or approximately 116.565 degrees.
Dihedral angleProlinePolyhedronDNA

Question 3: In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα 'twelve' + εδρον 'base', 'seat' or 'face') is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a ________.
TetrahedronIcosahedronPlatonic solidOctahedron

Question 4: In twentieth century art, dodecahedra appear in the work of ________, such as his lithograph Reptiles (1943), and in his Gravitation.
RomeSpainItalyM. C. Escher

Question 5: Its ________ is the icosahedron, with Schläfli symbol {3,5}.
TetrahedronOctahedronDual polyhedronDodecahedron

Question 6: Five ________ fit within, with their edges as diagonals of the dodecahedron's faces, and together these make up the regular polyhedral compound of five cubes.
OctahedronTetrahedronIcosahedronCube

Question 7: Indeed, this name derives from a mathematical game invented in 1857 by ________, the icosian game.
Leonhard EulerIsaac NewtonPierre-Simon LaplaceWilliam Rowan Hamilton

Question 8: If the edge length of a regular dodecahedron is a, the radius of a circumscribed ________ (one that touches the dodecahedron at all vertices) is
3-sphereGeometrySphereManifold

Question 9: and the radius of an inscribed sphere (________ to each of the dodecahedron's faces) is
Trigonometric functionsManifoldDerivativeTangent

Question 10: The term dodecahedron is also used for other polyhedra with twelve faces, most notably the rhombic dodecahedron which is dual to the cuboctahedron (an ________) and occurs in nature as a crystal form.
RhombicosidodecahedronUniform polyhedronArchimedean solidPolyhedron