A monogonal dihedron is a 3-D polyhedron with two monogonal faces which share an edge and a vertex. In normal Euclidean space, it is degenerate, but can exist as a tiling of the sphere where each face makes up a hemisphere.
Structure and Sections
Hypervolumes
- vertex count = $ 1 $
- edge length = $ l $
- surface area = $ 0 $
- surcell volume = $ 0 $
Subfacets
- 1 point (0D)
- 1 line segment (1D)
- 2 monogons (2D)
- 1 monogonal dihedron (3D)
See Also
| $ \{1,2\} $ | Monogonal dihedron |
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| Regular $ t_0 \{1,2\} $ | Rectified $ t_1 \{1,2\} $ | Birectified $ t_2 \{1,2\} $ | Truncated $ t_{0,1} \{1,2\} $ | Bitruncated $ t_{1,2} \{1,2\} $ | Cantellated $ t_{0,2} \{1,2\} $ | Cantitruncated $ t_{0,1,2} \{1,2\} $ | Monogonal dihedron | Monogonal dihedron | Monogonal hosohedron | Truncated monogonal dihedron | Monogonal prism | Monogonal prism | Digonal prism |
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| $ \{0,2\} $ | $ \{1,2\} $ | $ \{2,2\} $ | $ \{3,2\} $ | $ \{4,2\} $ | $ \{5,2\} $ | $ \{6,2\} $ | $ \{7,2\} $ | $ \{8,2\} $ | ... | $ \{\infty,2\} $ | $ \{\frac{\pi i}{\lambda},2\} $ | Zerogonal dihedron | Monogonal dihedron | Digonal dihedron | Trigonal dihedron | Square dihedron | Pentagonal dihedron | Hexagonal dihedron | Heptagonal dihedron | Octagonal dihedron | ... | Apeirogonal dihedron | Pseudogonal dihedron |
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