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  • https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Introduction_to_Groups_and_Geometries_(Lyons)/01%3A_Preliminaries/1.03%3A_Stereographic_projection
    Show that the map RX,π:S2S2 given by (a,b,c)(a,b,c) (rotation about the x-axis by π radians) and the map \(T_{X,\pi}\colon \hat{\mathbb{C}}\to \hat{\mathbb{C}}...Show that the map RX,π:S2S2 given by (a,b,c)(a,b,c) (rotation about the x-axis by π radians) and the map TX,π:ˆCˆC given by z1/z are conjugate transformations with respect to stereographic projection.

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