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X₁₈₀₈¶

INVERSE MIMOSA TRANSFORM OF X₅₁₁

X₁₈₀₈ (INVERSE MIMOSA TRANSFORM OF X₅₁₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1808 = INVERSE MIMOSA TRANSFORM OF X_511."""

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


        def construct_x_01808(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1808 = INVERSE MIMOSA TRANSFORM OF X_511 on reference triangle ABC."""
            X_41 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b + c - a)', ID="X_41", classes=["center"])
            X_60 = eval_trilinear_point(model, A, B, C, '1/(1 + cos(B - C))', ID="X_60", classes=["center"])
            X_42 = eval_trilinear_point(model, A, B, C, 'a*(b + c)', ID="X_42", classes=["center"])
            X_81 = eval_trilinear_point(model, A, B, C, '1/(b + c)', ID="X_81", classes=["center"])
            central_line(model, X_41, X_60, 41, 60)
            central_line(model, X_42, X_81, 42, 81)
            X_1808 = intersect_lines(model, X_41, X_60, X_42, X_81, ID="X_1808", classes=["selected", "target"])
            X_228 = eval_trilinear_point(model, A, B, C, '(sin(2*A))*(sin(B) + sin(C))', ID="X_228", classes=["center", "incident"])
            X_295 = eval_trilinear_point(model, A, B, C, '(cos(A))/(a**(2) - b*c)', ID="X_295", classes=["center", "incident"])
            central_line(model, X_228, X_295, 228, 295, incident=True)
            return promote_point_to_top(model, X_1808)


        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_1808 on the given reference triangle."""
            model = create_model('X_1808 = INVERSE MIMOSA TRANSFORM OF X_511')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01808(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-01808.json"))
            write_center_svg(
                model_acute,
                here / "x-01808.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1808¶

X₁₈₀₈¶