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X₁₇₅₁¶

MIMOSA TRANSFORM OF X₂₇₂

X₁₇₅₁ (MIMOSA TRANSFORM OF X₂₇₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1751 = MIMOSA TRANSFORM OF X_272."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            isogonal_conjugate,
            promote_point_to_top,
            spieker_center_of,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01751(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1751 = MIMOSA TRANSFORM OF X_272 on reference triangle ABC."""
            X_579 = eval_trilinear_point(model, A, B, C, '(a*(a**(2)*b + a**(2)*c + a*b*c - b**(3) - c**(3)))', ID="X_579", classes=["center"])
            X_1751 = isogonal_conjugate(model, A, B, C, X_579, ID="X_1751", classes=["selected", "target"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            X_55 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)', ID="X_55", classes=["center", "incident"])
            central_line(model, X_10, X_55, 10, 55, incident=True)
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_226 = eval_trilinear_point(model, A, B, C, '(csc(A))*(cos(B) + cos(C))', ID="X_226", classes=["center", "incident"])
            central_line(model, X_6, X_226, 6, 226, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_272 = eval_trilinear_point(model, A, B, C, '(1/((sin(A) + sin(A - B) + sin(A - C))*(sin(B) + sin(C))))', ID="X_272", classes=["center", "incident"])
            central_line(model, X_2, X_272, 2, 272, incident=True)
            return promote_point_to_top(model, X_1751)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_1751 on the given reference triangle."""
            model = create_model('X_1751 = MIMOSA TRANSFORM OF X_272')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01751(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-01751.json"))
            write_center_svg(
                model_acute,
                here / "x-01751.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1751¶

X₁₇₅₁¶