'commit'

AI/Manim/GouGyu.py

@@ -1,117 +1,138 @@
 from manim import *
+import numpy as np
+
+
+class PythagoreanProof(Scene):
+    def update_step(self, current_text, new_content, duration=1.5):
+        """带淡入淡出效果的步骤更新"""
+        # 创建新文本（使用黑体中文）
+        new_text = Text(new_content, font="SimHei", font_size=32).to_edge(UP, buff=0.8)
+        new_text.set_color_by_gradient(GOLD, ORANGE)
+
+        # 动画序列
+        if current_text:
+            self.play(
+                FadeOut(current_text, shift=UP * 0.3),  # 旧文本上移淡出
+                FadeIn(new_text, shift=DOWN * 0.3),  # 新文本下移进入
+                run_time=0.8
+            )
+        else:
+            self.play(FadeIn(new_text, shift=DOWN))
+
+        self.wait(duration)
+        return new_text
+
+    def create_polygon(self, points, color, fill_opacity=0.8):
+        """创建带样式的多边形"""
+        return Polygon(*points,
+                       color=color,
+                       fill_opacity=fill_opacity,
+                       stroke_width=4)
 
-class ClearProof(Scene):
     def construct(self):
-        config.frame_width = 12.8
-        config.frame_height = 10.24
-        colors = {
-            "a": "#4D9DE0",
-            "b": "#E15554",
-            "c": "#3BB273",
-            "bg": "#1E1E1E",
-            "text": "#FFFFFF"
-        }
-        self.camera.background_color = colors["bg"]
-        a, b = 3, 4  # 直角边长度
-        c = 5        # 斜边长度
-
-        # ========== 第一步：初始构造 ==========
-        step1 = Text("构造直角三角形", font_size=36, color=colors["text"]).to_edge(UP)
-        tri = Polygon([-4, -2, 0], [2, -2, 0], [-4, 2, 0], 
-                    color=colors["text"], stroke_width=4)
-        labels = VGroup(
-            MathTex("a", color=colors["a"]).next_to(tri.get_bottom(), DOWN, buff=0.3),
-            MathTex("b", color=colors["b"]).next_to(tri.get_left(), LEFT, buff=0.3),
-            MathTex("c", color=colors["c"]).move_to(tri.get_vertices()[2] + UR*0.5)
-        )
-        
-        self.play(Write(step1), run_time=1.5)
-        self.play(Create(tri), run_time=2)
-        self.play(LaggedStart(*[Write(l) for l in labels], lag_ratio=0.4))
-        self.wait(2)
-
-        # ========== 第二步：构建正方形 ==========
-        step2 = Text("构建边长的正方形", font_size=36, color=colors["text"]).to_edge(UP)
-        square_a = Square(a, color=colors["a"], fill_opacity=0.3).next_to(tri, RIGHT, buff=2)
-        square_b = Square(b, color=colors["b"], fill_opacity=0.3).next_to(tri, LEFT, buff=2)
-        square_c = Square(c, color=colors["c"], fill_opacity=0.3).move_to(ORIGIN + DOWN*1.5)
-        
-        self.play(
-            ReplacementTransform(step1, step2),
-            DrawBorderThenFill(square_a),
-            DrawBorderThenFill(square_b),
-            run_time=2
-        )
-        self.wait(1.5)
-        
-        # ========== 第三步：分割图形 ==========
-        step3 = Text("分割正方形为可重组部件", font_size=36, color=colors["text"]).to_edge(UP)
-        # 分割a²正方形
-        a_pieces = VGroup(
-            tri.copy().set_fill(colors["a"], 0.3),
-            tri.copy().rotate(PI/2).set_fill(colors["a"], 0.3).shift(RIGHT*a)
-        )
-        # 分割b²正方形
-        b_pieces = VGroup(
-            tri.copy().rotate(-PI/2).set_fill(colors["b"], 0.3),
-            tri.copy().rotate(PI).set_fill(colors["b"], 0.3).shift(LEFT*b)
-        )
-        
+        # 初始配置
+        current_step = None
+        elements = VGroup()  # 用于管理所有图形元素
+
+        # === 步骤1：绘制直角三角形 ===
+        current_step = self.update_step(None, "步骤1：绘制直角三角形")
+
+        # 定义三角形顶点坐标
+        triangle_points = [
+            [-2, -1, 0],  # 左顶点
+            [2, -1, 0],  # 右顶点
+            [1, 1.5, 0]  # 上顶点
+        ]
+        triangle = self.create_polygon(triangle_points, BLUE)
+        elements.add(triangle)
+        self.play(Create(triangle), run_time=2)
+        self.wait()
+
+        # === 步骤2：构建三个正方形 ===
+        current_step = self.update_step(current_step, "步骤2：构建三个正方形")
+
+        # 创建三个正方形
+        square_a = Square(side_length=4, color=ORANGE).shift(DOWN * 2)
+        square_b_points = [
+            triangle_points[0],
+            triangle_points[2],
+            triangle_points[2] + (triangle_points[2] - triangle_points[0]) * 0.8,
+            triangle_points[0] + (triangle_points[2] - triangle_points[0]) * 0.8
+        ]
+        square_b = self.create_polygon(square_b_points, ORANGE)
+
+        square_c_points = [
+            triangle_points[1],
+            triangle_points[2],
+            triangle_points[2] + (triangle_points[2] - triangle_points[1]) * 0.8,
+            triangle_points[1] + (triangle_points[2] - triangle_points[1]) * 0.8
+        ]
+        square_c = self.create_polygon(square_c_points, ORANGE)
+
         self.play(
-            ReplacementTransform(step2, step3),
-            square_a.animate.set_fill(opacity=0),
-            square_b.animate.set_fill(opacity=0),
             LaggedStart(
-                Transform(square_a, a_pieces),
-                Transform(square_b, b_pieces),
-                lag_ratio=0.5
+                Create(square_a),
+                Create(square_b),
+                Create(square_c),
+                lag_ratio=0.4
             ),
             run_time=3
         )
-        self.wait(2)
-
-        # ========== 第四步：重组图形 ==========
-        step4 = Text("重组部件构成大正方形", font_size=36, color=colors["text"]).to_edge(UP)
-        # 计算重组后的位置
-        final_positions = [
-            [-c/2, -c/2 -1.5, 0], [c/2, -c/2 -1.5, 0],
-            [c/2, c/2 -1.5, 0], [-c/2, c/2 -1.5, 0]
-        ]
-        # 创建重组动画
-        animations = []
-        for i, piece in enumerate(a_pieces):
-            animations.append(piece.animate.move_to(final_positions[i]))
-        for i, piece in enumerate(b_pieces):
-            animations.append(piece.animate.move_to(final_positions[i+2]))
-        
+        elements.add(square_a, square_b, square_c)
+        self.wait()
+
+        # === 步骤3：面积变换演示 ===
+        current_step = self.update_step(current_step, "步骤3：面积恒等变换")
+
+        # 创建可移动三角形
+        moving_tri = self.create_polygon([
+            triangle_points[2],
+            triangle_points[0],
+            triangle_points[0] + (triangle_points[0] - triangle_points[2]) * 0.8
+        ], YELLOW)
+
+        self.play(Create(moving_tri), run_time=1)
         self.play(
-            ReplacementTransform(step3, step4),
-            LaggedStart(*animations, lag_ratio=0.3),
-            FadeIn(square_c, shift=UP),
-            run_time=4
+            Rotate(
+                moving_tri,
+                angle=-PI / 2,
+                about_point=triangle_points[0],
+                rate_func=smooth
+            ),
+            run_time=2
+        )
+        self.wait()
+
+        # === 步骤4：最终结论 ===
+        current_step = self.update_step(current_step, "步骤4：得出结论")
+
+        # 数学公式
+        formula = MathTex(r"a^2 + b^2 = c^2", color=GOLD).scale(2)
+        formula_box = SurroundingRectangle(formula, color=WHITE, buff=0.5)
+
+        self.play(
+            FadeOut(elements),
+            FadeOut(moving_tri),
+            run_time=1
         )
-        self.wait(2)
-
-        # ========== 第五步：面积等式 ==========
-        step5 = Text("面积守恒证明定理", font_size=36, color=colors["text"]).to_edge(UP)
-        equation = MathTex(
-            "a^2", "+", "b^2", "=", "c^2",
-            substrings_to_isolate=["a^2", "b^2", "c^2"]
-        ).scale(1.5).set_color_by_tex("a^2", colors["a"]).set_color_by_tex("b^2", colors["b"]).set_color_by_tex("c^2", colors["c"])
-        
         self.play(
-            ReplacementTransform(step4, step5),
-            FadeOut(VGroup(a_pieces, b_pieces, square_c)),
-            Write(equation),
+            DrawBorderThenFill(formula_box),
+            Write(formula),
             run_time=2
         )
         self.wait(3)
 
-        # ========== 最终总结 ==========
-        conclusion = Text("勾股定理得证！", font_size=48, color=colors["c"])
-        self.play(
-            FadeOut(equation),
-            FadeOut(step5),
-            Write(conclusion, run_time=2)
-        )
-        self.wait(3)
+
+if __name__ == "__main__":
+    config = {
+        "quality": "high_quality",
+        "preview": True,
+        "media_dir": "./output",
+        "pixel_height": 1080,
+        "pixel_width": 1920,
+        "background_color": "#333333"  # 深色背景
+    }
+
+    with tempconfig(config):
+        scene = PythagoreanProof()
+        scene.render()

AI/Manim/output/texts/5fcbf78608fce8de.svg

@@ -0,0 +1,33 @@
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AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/partial_movie_file_list.txt

@@ -0,0 +1,18 @@
+# This file is used internally by FFMPEG.
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3529212410_2377933712_223132457.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4071516364_453330732.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4023380567_3630689631.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_2341082278_1845016187.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_3474186832_2097494488.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_3944917232_3876166900.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4071516364_2968863869.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_3954852861_3628728885.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4071516364_898411249.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_3129605711_629553160.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_667144672_3442754461.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_2195664176_2477249699.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4071516364_3221646503.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_37542298_1747269282.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_608929503_2139026023.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_1049479037_7969857.mp4'
+file 'file:D:/dsWork/QingLong/AI/Manim/output/videos/1080p60/partial_movie_files/PythagoreanProof/3040924799_4166842112_986107649.mp4'