Rotational symmetries of a double tetrahedron
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Consider the following problem: given two copies of a regular tetrahedron, glue these two copies together along a face. Describe the rotational symmetries of the resulting solid.
My approach. The rotations are:
- the identity
- two rotations about the axis connecting two vertices and the center of the common face
- one rotation for each of the three axis passing through the three vertices of the common face and the opposite edge of the common face
for a total of 6 rotations. Am I right?
group-theory symmetric-groups
asked Nov 20 at 22:52
J. D.
1858
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up vote
1
down vote
favorite
Consider the following problem: given two copies of a regular tetrahedron, glue these two copies together along a face. Describe the rotational symmetries of the resulting solid.
My approach. The rotations are:
- the identity
- two rotations about the axis connecting two vertices and the center of the common face
- one rotation for each of the three axis passing through the three vertices of the common face and the opposite edge of the common face
for a total of 6 rotations. Am I right?
group-theory symmetric-groups
asked Nov 20 at 22:52
J. D.
1858
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Consider the following problem: given two copies of a regular tetrahedron, glue these two copies together along a face. Describe the rotational symmetries of the resulting solid.
My approach. The rotations are:
- the identity
- two rotations about the axis connecting two vertices and the center of the common face
- one rotation for each of the three axis passing through the three vertices of the common face and the opposite edge of the common face
for a total of 6 rotations. Am I right?
group-theory symmetric-groups
asked Nov 20 at 22:52
J. D.
1858
Consider the following problem: given two copies of a regular tetrahedron, glue these two copies together along a face. Describe the rotational symmetries of the resulting solid.
My approach. The rotations are:
- the identity
- two rotations about the axis connecting two vertices and the center of the common face
- one rotation for each of the three axis passing through the three vertices of the common face and the opposite edge of the common face
for a total of 6 rotations. Am I right?
group-theory symmetric-groups
group-theory symmetric-groups
asked Nov 20 at 22:52
J. D.
1858
asked Nov 20 at 22:52
J. D.
1858
asked Nov 20 at 22:52
J. D.
1858
asked Nov 20 at 22:52
J. D.
1858
asked Nov 20 at 22:52
J. D.
1858
1858
add a comment |
add a comment |
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