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X₇₆₂¶

TRILINEAR CUBE OF X₃₇

X₇₆₂ = crosssum of X₅₉₃ and X₇₅₇

X₇₆₂ (TRILINEAR CUBE OF X₃₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_762 = TRILINEAR CUBE OF X_37."""

        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_00762(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_762 = TRILINEAR CUBE OF X_37 on reference triangle ABC."""
            X_762 = eval_trilinear_point(model, A, B, C, '(b + c)**(3)', ID="X_762", classes=["selected", "target"])
            X_210 = eval_trilinear_point(model, A, B, C, '(b + c)*(b + c - a)', ID="X_210", classes=["center", "incident"])
            X_213 = eval_trilinear_point(model, A, B, C, '(b + c)*a**(2)', ID="X_213", classes=["center", "incident"])
            central_line(model, X_210, X_213, 210, 213, incident=True)
            X_594 = eval_trilinear_point(model, A, B, C, '(b + c)**(2)/a', ID="X_594", classes=["center", "incident"])
            X_1089 = eval_trilinear_point(model, A, B, C, '(b**(2)*c**(2)*(b + c)**(2))', ID="X_1089", classes=["center", "incident"])
            central_line(model, X_594, X_1089, 594, 1089, incident=True)
            return promote_point_to_top(model, X_762)


        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_762 on the given reference triangle."""
            model = create_model('X_762 = TRILINEAR CUBE OF X_37')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00762(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-00762.json"))
            write_center_svg(
                model_acute,
                here / "x-00762.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X762¶

X₇₆₂¶