Concept explainers
a.
To find : The group of equilateral
a.
Answer to Problem 2BE
ABCDEF is the hexagon.
Explanation of Solution
Given information :
If each of the icosahedrons is trisected and the trisection points are popped out to the surface of the circumscribing sphere, one of the many possible geodesic domes is even more sphere like. By subdividing the edges of the icosahedrons into more than three parts, the resulting geodesic domes is even more sphere like.
Calculation :
Since, Hexagon is a 6 sided
In the face of the icosahedrons PQR,
ABCDEF is a hexagon.
Hence,
ABCDEF is the hexagon.
b.
To find : The group of equilateral triangles that cluster to form pentagon.
b.
Answer to Problem 2BE
ABCDE is the pentagon.
Explanation of Solution
Given information :
If each of the icosahedrons is trisected and the trisection points are popped out to the surface of the circumscribing sphere, one of the many possible geodesic domes is even more sphere like. By subdividing the edges of the icosahedrons into more than three parts, the resulting geodesic domes is even more sphere like.
Calculation :
Since, Pentagon is a 5 sided polygon.
In the face of the icosahedrons
ABCDE is a pentagon.
Hence,
ABCDE is the pentagon.
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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