Pentagonal trapezohedron - Quiz
- 1. What is the dual polyhedron of the pentagonal trapezohedron?
A) Pentagonal antiprism
B) Pentagonal pyramid
C) Regular dodecahedron
D) Cube
- 2. How many faces does a pentagonal trapezohedron have?
A) Five
B) Ten
C) Twelve
D) Twenty
- 3. What is the shape of the faces of a pentagonal trapezohedron?
A) Triangles
B) Squares
C) Kites
D) Pentagons
- 4. How many vertices does a pentagonal trapezohedron have?
A) Five
B) Ten
C) Twenty
D) Twelve
- 5. How many edges does a pentagonal trapezohedron have?
A) Ten
B) Twenty
C) Thirty
D) Twelve
- 6. What symmetry group does the pentagonal trapezohedron share with the pentagonal antiprism?
A) Td
B) D5d
C) Oh
D) D5h
- 7. What is the order of the symmetry group D5d?
A) 12
B) 20
C) 30
D) 10
- 8. When was the pentagonal trapezohedron first patented as a gaming die?
A) 1906
B) 1980
C) 1900
D) 1920
- 9. When considering a version with all vertices on the surface of a sphere, what are two of the internal angles of the kite faces?
A) 36 degrees
B) 45 degrees
C) 108 degrees
D) 90 degrees
- 10. What happens if you truncate the top and bottom vertices of a pentagonal trapezohedron?
A) It achieves a regular dodecahedron
B) It becomes a pentagonal antiprism
C) It becomes a pentagonal pyramid
D) It becomes a cube
- 11. In the standard kite face of a pentagonal trapezohedron, what are the internal angles?
A) 90 degrees and 45 degrees
B) 108 degrees and 36 degrees
C) 60 degrees and 120 degrees
D) 72 degrees and 108 degrees
- 12. Why are some ten-sided dice sold in sets where one is numbered 00 to 90?
A) To distinguish between tens and units
B) To create a 100-sided effect
C) To prevent cheating
D) To increase weight
- 13. What is the position of the vertices in the spherical tiling of the pentagonal trapezohedron?
A) All on the equator
B) All on the poles
C) Randomly distributed
D) 2 on the poles and alternating on the equator
- 14. Which event saw a patent refinement of the ten-sided die become notorious?
A) 1990 Game Expo
B) 1980 Gen Con
C) The 1975 Gaming Convention
D) 1906 World Fair
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