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X₁₉₂₅¶

CROSSSUM OF PU(13)

X₁₉₂₅ (CROSSSUM OF PU(13)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1925 = CROSSSUM OF PU(13)."""

        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,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01925(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1925 = CROSSSUM OF PU(13) on reference triangle ABC."""
            X_1925 = eval_trilinear_point(model, A, B, C, '(1 + b**(2)*c**(2)/a**(4))', ID="X_1925", classes=["selected", "target"])
            X_92 = eval_trilinear_point(model, A, B, C, 'csc(2*A)', ID="X_92", classes=["center", "incident"])
            X_304 = eval_trilinear_point(model, A, B, C, '(cot(A))*(csc(A))**(2)', ID="X_304", classes=["center", "incident"])
            central_line(model, X_92, X_304, 92, 304, incident=True)
            X_76 = eval_trilinear_point(model, A, B, C, '1/a**(3)', ID="X_76", classes=["center", "incident"])
            X_335 = eval_trilinear_point(model, A, B, C, 'b*c/(a**(2) - b*c)', ID="X_335", classes=["center", "incident"])
            central_line(model, X_76, X_335, 76, 335, incident=True)
            X_469 = point_from_barycentrics(model, A, B, C, 0.14569854, 0.21687036, 0.6374311, ID="X_469", classes=["center", "incident"])
            X_1601 = point_from_barycentrics(model, A, B, C, 0.43272298, 0.23120612, 0.3360709, ID="X_1601", classes=["center", "incident"])
            central_line(model, X_469, X_1601, 469, 1601, incident=True)
            return promote_point_to_top(model, X_1925)


        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_1925 on the given reference triangle."""
            model = create_model('X_1925 = CROSSSUM OF PU(13)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01925(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-01925.json"))
            write_center_svg(
                model_acute,
                here / "x-01925.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1925¶

X₁₉₂₅¶