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X₂₆₁₂¶

CROSSSUM OF PU(71)

X₂₆₁₂ (CROSSSUM OF PU(71)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2612 = CROSSSUM OF PU(71)."""

        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,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02612(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2612 = CROSSSUM OF PU(71) on reference triangle ABC."""
            X_2612 = eval_trilinear_point(model, A, B, C, '(csc(A - B)*csc(A - C) - (csc(B - C))**(2))', ID="X_2612", classes=["selected", "target"])
            X_59 = eval_trilinear_point(model, A, B, C, '1/(1 - cos(B - C))', ID="X_59", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_59, X_110, 59, 110, incident=True)
            X_523 = eval_trilinear_point(model, A, B, C, 'sin(B -C)', ID="X_523", classes=["center", "incident"])
            X_1101 = eval_trilinear_point(model, A, B, C, '((csc(B - C))**(2))', ID="X_1101", classes=["center", "incident"])
            central_line(model, X_523, X_1101, 523, 1101, incident=True)
            X_2605 = eval_trilinear_point(model, A, B, C, '(sin(C- A) - sin(B - A))', ID="X_2605", classes=["center", "incident"])
            X_2614 = eval_trilinear_point(model, A, B, C, '(1/(csc(A - B)*csc(A - C) + (csc(B - C))**(2)))', ID="X_2614", classes=["center", "incident"])
            central_line(model, X_2605, X_2614, 2605, 2614, incident=True)
            return promote_point_to_top(model, X_2612)


        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_2612 on the given reference triangle."""
            model = create_model('X_2612 = CROSSSUM OF PU(71)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02612(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-02612.json"))
            write_center_svg(
                model_acute,
                here / "x-02612.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2612¶

X₂₆₁₂¶