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Regular polytope: Quiz

  
  

Question 1: His work concluded with mathematical descriptions of the five ________.
DodecahedronIcosahedronPlatonic solidTetrahedron

Question 2: A ________ has a real part, which is the bit we are all familiar with, and an imaginary part, which is a multiple of the square root of minus one.
Complex numberField (mathematics)Vector spaceReal number

Question 3: For example the ________ and the regular octahedron share the same symmetry, as do the regular dodecahedron and icosahedron.
TetrahedronCubeUniform polyhedronPolyhedron

Question 4: Mark new points E,F,G,H to form the ________ ABCDEFGH.
OctahedronDodecahedronCubeTetrahedron

Question 5: Note, however, that this definition does not work for ________.
PolyhedronAbstract polytopePolygonRegular polytope

Question 6: This is analogous to the way a ________ reassembles two-dimensional images to form a 3-dimensional representation of the organs being scanned.
CT pulmonary angiogramMedical radiographyX-ray computed tomographyMagnetic resonance imaging

Question 7: Mark point C in a second, ________, dimension at a distance r from both, and join to A and B to form an equilateral triangle.
Eigenvalue, eigenvector and eigenspaceEuclidean vectorOrthogonalityVector space

Question 8: Coxeter groups also include the symmetry groups of regular ________ of space or of the plane.
CubeTetrahedronPolyhedronTessellation

Question 9: Descriptions of these may be found in the ________.
IcosahedronPolygonPolyhedronList of regular polytopes

Question 10: Another way a three-dimensional viewer can comprehend the structure of a four-dimensional polychoron is through being "immersed" in the object, perhaps via some form of ________ technology.
Virtual realitySimulated realityVirtual worldAugmented reality
















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