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X₁₉₁₉¶

BICENTRIC DIFFERENCE OF PU(12)

X₁₉₁₉ (BICENTRIC DIFFERENCE OF PU(12)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1919 = BICENTRIC DIFFERENCE OF PU(12)."""

        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_01919(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1919 = BICENTRIC DIFFERENCE OF PU(12) on reference triangle ABC."""
            X_1919 = eval_trilinear_point(model, A, B, C, '(a**(3)*(b - c))', ID="X_1919", classes=["selected", "target"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_765 = eval_trilinear_point(model, A, B, C, '(b - c) **(-2)', ID="X_765", classes=["center", "incident"])
            central_line(model, X_101, X_765, 101, 765, incident=True)
            X_669 = eval_trilinear_point(model, A, B, C, 'a**(3)*(b**(2) - c**(2))', ID="X_669", classes=["center", "incident"])
            X_688 = eval_trilinear_point(model, A, B, C, '(a**(3)*(b**(4) - c**(4)))', ID="X_688", classes=["center", "incident"])
            central_line(model, X_669, X_688, 669, 688, incident=True)
            X_667 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b - c)', ID="X_667", classes=["center", "incident"])
            X_788 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b**(3) - c**(3))', ID="X_788", classes=["center", "incident"])
            central_line(model, X_667, X_788, 667, 788, incident=True)
            return promote_point_to_top(model, X_1919)


        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_1919 on the given reference triangle."""
            model = create_model('X_1919 = BICENTRIC DIFFERENCE OF PU(12)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01919(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-01919.json"))
            write_center_svg(
                model_acute,
                here / "x-01919.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1919¶

X₁₉₁₉¶