As isogonal conjugation is a function, it makes sense to speak of the isogonal conjugate of sets of points, such as lines and circles.
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This intersection point, above the incenter, is the isogonal conjugate of P . talk ) 16 : 35, 8 July 2016 ( UTC)
33.
Deeper truncations of the regular decagon and decagram can produce isogonal ( vertex-transitive ) intermediate icosagram forms with equally spaced vertices and two edge lengths.
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Deeper truncations of the regular heptagon and heptagrams can produce isogonal ( vertex-transitive ) intermediate tetradecagram forms with equally spaced vertices and two edge lengths.
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Deeper truncations of the regular octagon and octagram can produce isogonal ( vertex-transitive ) intermediate hexadecagram forms with equally spaced vertices and two edge lengths.
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The isogonal conjugate of the circumcircle is the line at infinity, given in trilinear coordinates by 0 } } and in barycentric coordinates by 0 } }.
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By the isogonal conjugate article, in trilinear coordinates the conjugate of x : y : z is 1 / x : 1 / y : 1 / z.
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A stack of right prisms can generate isogonal helical aperigon alternating edges around axis, and along axis, here for example with square prisms, alternating red and blue edges:
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There are seven families of isogonal each family having a real-valued parameter determining the overlap between sides of adjacent tiles or the ratio between the edge lengths of different tiles.
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When regarded as a star icosahedron, the complete stellation is a noble polyhedron, because it is both isohedral ( face-transitive ) and isogonal ( vertex-transitive ).
