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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

$\{1,2\}$
Monogonal dihedron
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
$\{1,2\}$ $\{2,2\}$ $\{3,2\}$ $\{4,2\}$ $\{5,2\}$ $\{6,2\}$ $\{7,2\}$ $\{8,2\}$ ... $\{\infty,2\}$ $\{\frac{\pi i}{\lambda},2\}$
Monogonal dihedron Digonal dihedron Trigonal dihedron Square dihedron Pentagonal dihedron Hexagonal dihedron Heptagonal dihedron Octagonal dihedron ... Apeirogonal dihedron Pseudogonal dihedron