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The compound figure comprising two such dual tetrahedra form a stellated octahedron or stella octangula. Its interior is an octahedron, and correspondingly, a regular octahedron is the result of cutting off, from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e., rectifying the tetrahedron).
Compound of eight octahedra with rotational freedom; Compound of eight triangular prisms; Compound of five cubes; Compound of five cuboctahedra; Compound of five cubohemioctahedra; Compound of five great cubicuboctahedra; Compound of five great dodecahedra; Compound of five great icosahedra; Compound of five great rhombihexahedra; Compound of ...
A bond angle is the geometric angle between two adjacent bonds. Some common shapes of simple molecules include: Linear: In a linear model, atoms are connected in a straight line. The bond angles are set at 180°. For example, carbon dioxide and nitric oxide have a linear molecular shape.
Area#Area formulas – Size of a two-dimensional surface; Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities
m also must be less than half of n; otherwise the lines will either be parallel or diverge, preventing the figure from ever closing. If n and m do have a common factor, then the figure is a regular compound. For example {6/2} is the regular compound of two triangles {3} or hexagram, while {10/4} is a compound of two pentagrams {5/2}.
The measure of each internal angle of a regular tridecagon is approximately 152.308 degrees, and the area with side length a is given by A = 13 4 a 2 cot π 13 ≃ 13.1858 a 2 . {\displaystyle A={\frac {13}{4}}a^{2}\cot {\frac {\pi }{13}}\simeq 13.1858\,a^{2}.}
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