Created
January 26, 2024 11:42
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Hashtag cloud with clockwise transform
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| # Based on https://www.youtube.com/watch?v=u8zLAUroUq8&ab_channel=WildMathing | |
| from manim import * | |
| from numpy.random import uniform | |
| # WORDS = ( | |
| # r"e^{i/pi}+1=0", | |
| # r"3^2+4^2=5^2", | |
| # r"V+F-E=2", | |
| # r"\exists", | |
| # r"\forall", | |
| # r"\Rightarrow", | |
| # r"\Leftarrow", | |
| # r"\oint", | |
| # r"\varnothing", | |
| # r"\varepsilon", | |
| # r"\pi", | |
| # r"\zeta(-1)=-\frac{1}{12}", | |
| # r"1729=1^3+12^3=9^3+10^3", | |
| # r"\sin^x+\cos^2x=1", | |
| # r"\frac{a+b}{2}\geqslant \sqrt{ab}", | |
| # r"\pi (x) \sim \frac{x}{\log x}", | |
| # ) | |
| WORDS = ( | |
| "React", | |
| "Vue", | |
| "Angular", | |
| "Svelte", | |
| "JavaScript", | |
| "TypeScript", | |
| "NodeJS", | |
| "Redux", | |
| "Zustand", | |
| "GraphQL", | |
| "Patterns", | |
| "OOP", | |
| "ConstCode" | |
| ) | |
| STEPS = 5 | |
| def get_position(horizontal=(-6.5, 6.5), vertical=(-3, 3)): | |
| x, y = uniform(*horizontal), uniform(*vertical) | |
| return np.array((x, y, 0)) | |
| def fit_into_fram(word): | |
| if word.get_left()[0] < -6.9: | |
| word.to_edge(LEFT) | |
| if word.get_right()[0] > 6.9: | |
| word.to_edge(RIGHT) | |
| if word.width > 1.5: | |
| word.set(width = 1.5) | |
| def get_intersections(words, limit = 1_000_000): | |
| counter = 0 | |
| boxes= [SurroundingRectangle(w, buff=0.03) for w in words] | |
| for n, box_1 in enumerate(boxes): | |
| for box_2 in boxes[n+1:]: | |
| counter += len(Intersection(box_1, box_2)) | |
| if counter >= limit: | |
| return counter | |
| return counter | |
| def get_cloud(words): | |
| words = shuffle_words(words) | |
| while get_intersections(words, 1) > 0: | |
| words = shuffle_words(words) | |
| return words | |
| def shuffle_words (words): | |
| new_words = VGroup() | |
| min_distance = 10000 | |
| min_distance_word = None | |
| for word in words: | |
| height = uniform(0.1, 1.2) | |
| array = get_position() | |
| x, y, z = list(array) | |
| dist = (x**2 + y**2)**0.5 | |
| new_word = word.copy() | |
| if min_distance > dist: | |
| min_distance = dist | |
| min_distance_word = new_word | |
| new_word.move_to(array) | |
| new_word.set(height=height) | |
| new_word.set_opacity(0.2 + height) | |
| fit_into_fram(new_word) | |
| new_words += new_word | |
| min_distance_word.set(height=1.5) | |
| min_distance_word.set_opacity(1) | |
| return new_words | |
| class Cloud(Scene): | |
| def construct(self): | |
| words = VGroup(*[MathTex(w) for w in WORDS]) | |
| words = get_cloud(words) | |
| fade_kwargs = { | |
| 'rate_func': rate_functions.ease_in_out_elastic, | |
| 'run_time': 3 | |
| } | |
| fade = [GrowFromCenter(w, **fade_kwargs) for w in words] | |
| self.play(AnimationGroup(*fade, lag_ratio=0.03)) | |
| self.wait() | |
| for _ in range(STEPS): | |
| transform = [] | |
| for w1, w2 in zip(words, get_cloud(words)): | |
| anim = np.random.choice([ | |
| ClockwiseTransform, | |
| CounterclockwiseTransform | |
| ]) | |
| transform.append(anim(w1, w2, run_time=1.5)) | |
| self.play(AnimationGroup(*transform, lag_ratio=0.01)) | |
| self.wait() | |
| fade_out = [FadeOut(w, scale=0) for w in words] | |
| self.play(*fade_out, lag_ratio=0.05) | |
| self.wait(2) |
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