文章目录
一:粒子爱心
1.效果展示
将数学爱心曲线与粒子系统结合,通过预计算和帧动画实现流畅的视觉效果,同时添加了精美的文字特效
2.完整代码
import tkinter as tk
import random
from math import sin, cos, pi, log
import numpy as np
np.set_printoptions(suppress=True)
WIDTH, HEIGHT = 800, 600
HEART_CENTER_X, HEART_CENTER_Y = WIDTH // 2, HEIGHT // 2
HEART_SIDE = 11
FPS = 60
ANIMATION_SPEED = 1.5
HEART_COLORS = [
"#FFB6C1", "#FFC0CB", "#FFD1DC", "#FFE4E1", "#FFF0F5",
"#FFB3BA", "#FFDFBA", "#FFFFBA", "#BAFFC9", "#BAE1FF",
"#FFB6C1", "#FF69B4", "#DB7093", "#FF1493", "#C71585"
]
BACKGROUND_COLOR = "#000000"
TEXT = "我喜欢你"
class Heart:
def __init__(self, generate_frames=60):
self.points = set()
self.edge_points = set()
self.center_points = set()
self.all_points = {}
self.frame_count = generate_frames
self.build(3000)
self.setup_animation()
def build(self, point_count):
for _ in range(point_count):
t = random.uniform(0, 2 * pi)
x, y = self.heart_function(t)
self.points.add((x, y))
for x, y in list(self.points):
for _ in range(3):
nx, ny = self.scatter_inside(x, y, 0.05)
self.edge_points.add((nx, ny))
point_list = list(self.points)
for _ in range(5000):
x, y = random.choice(point_list)
nx, ny = self.scatter_inside(x, y, 0.2)
self.center_points.add((nx, ny))
def heart_function(self, t, shrink_ratio=HEART_SIDE):
x = 16 * (sin(t) ** 3)
y = -(13 * cos(t) - 5 * cos(2 * t) - 2 * cos(3 * t) - cos(4 * t))
x *= shrink_ratio
y *= shrink_ratio
x += HEART_CENTER_X
y += HEART_CENTER_Y
return int(x), int(y)
def scatter_inside(self, x, y, beta=0.15):
ratio_x = -beta * log(random.random())
ratio_y = -beta * log(random.random())
dx = ratio_x * (x - HEART_CENTER_X)
dy = ratio_y * (y - HEART_CENTER_Y)
return x - dx, y - dy
def setup_animation(self):
for frame in range(self.frame_count):
self.calculate_frame(frame)
def calculate_frame(self, frame):
ratio = 10 * self.animation_curve(frame / self.frame_count * 2 * pi)
halo_radius = int(4 + 6 * (1 + self.animation_curve(frame / self.frame_count * 2 * pi)))
halo_count = int(4000 + 6000 * abs(self.animation_curve(frame / self.frame_count * 2 * pi) ** 2))
halo_points = set()
frame_points = []
for _ in range(halo_count):
t = random.uniform(0, 2 * pi)
x, y = self.heart_function(t, shrink_ratio=HEART_SIDE * 0.9)
x, y = self.shrink(x, y, halo_radius)
if (x, y) not in halo_points:
halo_points.add((x, y))
x += random.randint(-10, 10)
y += random.randint(-10, 10)
size = random.choice([1, 2, 3])
color = random.choice(HEART_COLORS)
frame_points.append((x, y, size, color))
for x, y in self.points:
nx, ny = self.calculate_position(x, y, ratio)
size = random.randint(1, 3)
color = self.get_color_gradient(x, y)
frame_points.append((nx, ny, size, color))
for x, y in self.edge_points:
nx, ny = self.calculate_position(x, y, ratio)
size = random.randint(1, 2)
color = self.get_color_gradient(x, y, edge=True)
frame_points.append((nx, ny, size, color))
for x, y in self.center_points:
nx, ny = self.calculate_position(x, y, ratio)
size = random.randint(1, 2)
color = self.get_color_gradient(x, y, center=True)
frame_points.append((nx, ny, size, color))
self.all_points[frame] = frame_points
def calculate_position(self, x, y, ratio):
dx = ratio * self.force_function(x, y) * (x - HEART_CENTER_X) + random.randint(-1, 1)
dy = ratio * self.force_function(x, y) * (y - HEART_CENTER_Y) + random.randint(-1, 1)
return x - dx, y - dy
def force_function(self, x, y):
return 1 / (((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.52)
def animation_curve(self, p):
return 0.5 * (1 + sin(p))
def shrink(self, x, y, ratio):
force = -1 / (((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.6)
dx = ratio * force * (x - HEART_CENTER_X)
dy = ratio * force * (y - HEART_CENTER_Y)
return x - dx, y - dy
def get_color_gradient(self, x, y, edge=False, center=False):
dist = ((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.5
max_dist = ((WIDTH / 2) ** 2 + (HEIGHT / 2) ** 2) ** 0.5
ratio = min(1.0, dist / max_dist)
if center:
return HEART_COLORS[int(ratio * len(HEART_COLORS) / 3)]
elif edge:
return HEART_COLORS[int(len(HEART_COLORS) / 2 + ratio * len(HEART_COLORS) / 3)]
else:
angle = (x - HEART_CENTER_X) / max_dist
return HEART_COLORS[int((angle + 1) / 2 * len(HEART_COLORS)) % len(HEART_COLORS)]
class HeartAnimation:
def __init__(self, root):
self.root = root
self.root.title("爱心代码")
self.root.geometry(f"{WIDTH}x{HEIGHT}")
self.root.resizable(False, False)
self.root.configure(bg=BACKGROUND_COLOR)
self.canvas = tk.Canvas(
self.root, width=WIDTH, height=HEIGHT,
bg=BACKGROUND_COLOR, highlightthickness=0
)
self.canvas.pack()
self.heart = Heart()
self.current_frame = 0
self.create_text_effect()
self.animate()
def create_text_effect(self):
self.text_ids = []
shadow_offset = 2
self.shadow_id = self.canvas.create_text(
HEART_CENTER_X + shadow_offset, HEART_CENTER_Y + shadow_offset,
text=TEXT, font=("SimHei", 36, "bold"),
fill="#4A4A6A", tags="text"
)
glow_colors = ["#FFB6C1", "#FFC0CB", "#FFD1DC", "#FFE4E1", "#FFF0F5"]
for i, color in enumerate(glow_colors):
glow_size = 36 + i * 2
text_id = self.canvas.create_text(
HEART_CENTER_X, HEART_CENTER_Y,
text=TEXT, font=("SimHei", glow_size, "bold"),
fill=color, tags="text", state=tk.HIDDEN
)
self.text_ids.append(text_id)
if i >= len(glow_colors) - 2:
self.canvas.itemconfig(text_id, state=tk.NORMAL)
self.main_text_id = self.canvas.create_text(
HEART_CENTER_X, HEART_CENTER_Y,
text=TEXT, font=("SimHei", 36, "bold"),
fill="#FFE4E1", tags="text"
)
self.current_text_color = 0
self.text_direction = 1
self.text_alpha = 1.0
def update_text_color(self):
soft_colors = [
("#FFE4E1", 1.0), ("#FFD1DC", 1.0), ("#FFC0CB", 1.0),
("#FFB6C1", 0.9), ("#FFB3BA", 0.8), ("#FFB6C1", 0.9),
("#FFC0CB", 1.0), ("#FFD1DC", 1.0)
]
self.current_text_color = (self.current_text_color + self.text_direction) % len(soft_colors)
if self.current_text_color == 0 or self.current_text_color == len(soft_colors) - 1:
self.text_direction *= -1
color, alpha = soft_colors[self.current_text_color]
self.canvas.itemconfig(self.main_text_id, fill=color)
offset = 2 * sin(self.current_frame * 0.1)
self.canvas.coords(self.main_text_id,
HEART_CENTER_X + offset,
HEART_CENTER_Y - abs(offset))
def animate(self):
self.canvas.delete("particles")
for x, y, size, color in self.heart.all_points[self.current_frame]:
self.canvas.create_rectangle(
x, y, x + size, y + size,
fill=color, width=0, tags="particles"
)
if self.current_frame % 3 == 0:
self.update_text_color()
self.current_frame = (self.current_frame + 1) % self.heart.frame_count
self.root.after(int(1000 / FPS), self.animate)
if __name__ == "__main__":
root = tk.Tk()
app = HeartAnimation(root)
root.mainloop()
3.代码分析
(1)模块导入
import tkinter as tk # tkinter: 用于创建GUI界面
import random # random: 生成随机数用于粒子分布
from math import sin, cos, pi, log # math: 提供数学函数(sin, cos, pi, log)
import numpy as np # 用于数值计算
(2)全局常量定义
# 画布尺寸和爱心位置参数
WIDTH, HEIGHT = 800, 600 # 可修改:窗口宽度和高度
HEART_CENTER_X, HEART_CENTER_Y = WIDTH // 2, HEIGHT // 2 # 爱心中心位置
HEART_SIDE = 11 # 可修改:爱心大小比例因子
FPS = 60 # 可修改:动画帧率
ANIMATION_SPEED = 1.5 # 可修改:动画速度系数
# 颜色设置
HEART_COLORS = [ # 可修改:爱心粒子颜色列表
"#FFB6C1", "#FFC0CB", "#FFD1DC", "#FFE4E1", "#FFF0F5",
"#FFB3BA", "#FFDFBA", "#FFFFBA", "#BAFFC9", "#BAE1FF",
"#FFB6C1", "#FF69B4", "#DB7093", "#FF1493", "#C71585"
]
BACKGROUND_COLOR = "#000000" # 可修改:背景颜色
TEXT = "我喜欢你" # 可修改:显示的文字内容
(3)爱心粒子系统
class Heart:
def __init__(self, generate_frames=60): # generate_frames: 动画帧数
self.points = set() # 爱心主要点集
self.edge_points = set() # 边缘点集
self.center_points = set() # 中心点集
self.all_points = {} # 存储所有帧的点数据
self.frame_count = generate_frames # 动画总帧数
self.build(3000) # 生成3000个基础点
self.setup_animation()
def build(self, point_count): # point_count: 生成的基础点数量
for _ in range(point_count):
t = random.uniform(0, 2 * pi)
x, y = self.heart_function(t)
self.points.add((x, y))
# 生成边缘扩散点
for x, y in list(self.points):
for _ in range(3): # 每个基础点生成3个边缘点
nx, ny = self.scatter_inside(x, y, 0.05) # 0.05: 扩散系数
self.edge_points.add((nx, ny))
# 生成中心密集点
point_list = list(self.points)
for _ in range(5000): # 生成5000个中心点
x, y = random.choice(point_list)
nx, ny = self.scatter_inside(x, y, 0.2) # 0.2: 中心点扩散系数
self.center_points.add((nx, ny))
def heart_function(self, t, shrink_ratio=HEART_SIDE):
"""爱心数学函数"""
x = 16 * (sin(t) ** 3)
y = -(13 * cos(t) - 5 * cos(2 * t) - 2 * cos(3 * t) - cos(4 * t))
x *= shrink_ratio # 应用大小缩放
y *= shrink_ratio
x += HEART_CENTER_X # 平移到中心位置
y += HEART_CENTER_Y
return int(x), int(y)
def scatter_inside(self, x, y, beta=0.15): # beta: 扩散强度
"""在点周围随机扩散"""
ratio_x = -beta * log(random.random())
ratio_y = -beta * log(random.random())
dx = ratio_x * (x - HEART_CENTER_X)
dy = ratio_y * (y - HEART_CENTER_Y)
return x - dx, y - dy
def setup_animation(self):
"""预计算所有帧的动画效果"""
for frame in range(self.frame_count):
self.calculate_frame(frame)
def calculate_frame(self, frame):
"""计算单帧的所有粒子位置和属性"""
# 计算当前帧的动画比例 (0-1)
ratio = 10 * self.animation_curve(frame / self.frame_count * 2 * pi)
# 光晕效果参数
halo_radius = int(4 + 6 * (1 + self.animation_curve(frame / self.frame_count * 2 * pi)))
halo_count = int(4000 + 6000 * abs(self.animation_curve(frame / self.frame_count * 2 * pi) ** 2))
halo_points = set()
frame_points = []
# 生成光晕粒子
for _ in range(halo_count):
t = random.uniform(0, 2 * pi)
x, y = self.heart_function(t, shrink_ratio=HEART_SIDE * 0.9) # 稍小的爱心
x, y = self.shrink(x, y, halo_radius) # 应用光晕半径
if (x, y) not in halo_points:
halo_points.add((x, y))
x += random.randint(-10, 10) # 添加随机偏移
y += random.randint(-10, 10)
size = random.choice([1, 2, 3]) # 粒子大小
color = random.choice(HEART_COLORS) # 粒子颜色
frame_points.append((x, y, size, color))
# 添加基础点、边缘点和中心点
for points, size_range in [(self.points, (1, 3)),
(self.edge_points, (1, 2)),
(self.center_points, (1, 2))]:
for x, y in points:
nx, ny = self.calculate_position(x, y, ratio)
size = random.randint(*size_range)
color = self.get_color_gradient(x, y, edge=(points is self.edge_points),
center=(points is self.center_points))
frame_points.append((nx, ny, size, color))
self.all_points[frame] = frame_points
def calculate_position(self, x, y, ratio):
"""计算粒子在动画中的位置"""
dx = ratio * self.force_function(x, y) * (x - HEART_CENTER_X) + random.randint(-1, 1)
dy = ratio * self.force_function(x, y) * (y - HEART_CENTER_Y) + random.randint(-1, 1)
return x - dx, y - dy
def force_function(self, x, y):
"""力函数,决定粒子如何移动"""
return 1 / (((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.52)
def animation_curve(self, p):
"""动画曲线函数,使用正弦函数创造平滑的脉动效果"""
return 0.5 * (1 + sin(p))
def shrink(self, x, y, ratio):
"""收缩函数,用于光晕效果"""
force = -1 / (((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.6)
dx = ratio * force * (x - HEART_CENTER_X)
dy = ratio * force * (y - HEART_CENTER_Y)
return x - dx, y - dy
def get_color_gradient(self, x, y, edge=False, center=False):
"""根据位置获取颜色渐变"""
dist = ((x - HEART_CENTER_X) ** 2 + (y - HEART_CENTER_Y) ** 2) ** 0.5
max_dist = ((WIDTH / 2) ** 2 + (HEIGHT / 2) ** 2) ** 0.5
ratio = min(1.0, dist / max_dist)
if center:
return HEART_COLORS[int(ratio * len(HEART_COLORS) / 3)]
elif edge:
return HEART_COLORS[int(len(HEART_COLORS) / 2 + ratio * len(HEART_COLORS) / 3)]
else:
angle = (x - HEART_CENTER_X) / max_dist
return HEART_COLORS[int((angle + 1) / 2 * len(HEART_COLORS)) % len(HEART_COLORS)]
(4)主动画控制
""" 初始化方法 """
def __init__(self, root):
self.root = root
# 设置窗口属性
self.canvas = tk.Canvas(...) # 创建画布
self.heart = Heart() # 创建爱心粒子系统
self.current_frame = 0 # 当前帧
self.create_text_effect() # 创建文字效果
self.animate() # 开始动画
""" 动画循环 """
def animate(self):
self.canvas.delete("particles") # 清除上一帧粒子
# 绘制当前帧的所有粒子
for x, y, size, color in self.heart.all_points[self.current_frame]:
self.canvas.create_rectangle(x, y, x+size, y+size, fill=color, tags="particles")
# 每3帧更新一次文字效果
if self.current_frame % 3 == 0:
self.update_text_color()
# 计算下一帧
self.current_frame = (self.current_frame + 1) % self.heart.frame_count
self.root.after(int(1000/FPS), self.animate) # 设置下一帧
二:跳动爱心
1.效果展示
通过数学函数绘制一个爱心形状,并添加了众多动态效果
2.完整代码
import tkinter as tk
import random
from math import sin, cos, pi, log
from tkinter.constants import *
width, height = 800, 600
heartx, hearty = width / 2, height / 2
side = 11
heartcolor = "#FF85A2"
bg_color = "#1A1A2E"
class Heart:
def __init__(self, generate_frame=20):
self._points = set()
self._edge_diffusion_points = set()
self._center_diffusion_points = set()
self.all_points = {}
self.build(2000)
self.generate_frame = generate_frame
for frame in range(generate_frame):
self.calc(frame)
def build(self, number):
for _ in range(number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t)
self._points.add((x, y))
for _x, _y in list(self._points):
for _ in range(3):
x, y = scatter_inside(_x, _y, 0.05)
self._edge_diffusion_points.add((x, y))
point_list = list(self._points)
for _ in range(8000):
x, y = random.choice(point_list)
x, y = scatter_inside(x, y, 0.17)
self._center_diffusion_points.add((x, y))
@staticmethod
def calc_position(x, y, ratio):
force = 1 / (((x - heartx) ** 2 + (y - hearty) ** 2) ** 0.520)
dx = ratio * force * (x - heartx) + random.randint(-1, 1)
dy = ratio * force * (y - hearty) + random.randint(-1, 1)
return x - dx, y - dy
def calc(self, generate_frame):
ratio = 10 * curve(generate_frame / 10 * pi)
halo_radius = int(4 + 6 * (1 + curve(generate_frame / 10 * pi)))
halo_number = int(3000 + 4000 * abs(curve(generate_frame / 10 * pi) ** 2))
all_points = []
heart_halo_point = set()
for _ in range(halo_number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t, shrink_ratio=11.6)
x, y = shrink(x, y, halo_radius)
if (x, y) not in heart_halo_point:
heart_halo_point.add((x, y))
x += random.randint(-14, 14)
y += random.randint(-14, 14)
size = random.choice((1, 2, 2))
all_points.append((x, y, size, random.choice(["#FFD700", "#FFA07A", "#FFB6C1", "#FFC0CB"])))
for x, y in self._points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 3)
all_points.append((x, y, size, heartcolor))
warm_colors = ["#FFB6C1", "#FFC0CB", "#FFD700", "#FFA07A", "#FF8C66", "#FFA500"]
for x, y in self._edge_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size, random.choice(warm_colors)))
for x, y in self._center_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size, random.choice(warm_colors)))
self.all_points[generate_frame] = all_points
def render(self, render_canvas, render_frame):
for x, y, size, color in self.all_points[render_frame % self.generate_frame]:
render_canvas.create_rectangle(x, y, x + size, y + size, width=0, fill=color)
def heart_function(t, shrink_ratio=side):
x = 16 * (sin(t) ** 3)
y = -(13 * cos(t) - 5 * cos(2 * t) - 2 * cos(3 * t) - cos(4 * t))
x *= shrink_ratio
y *= shrink_ratio
x += heartx
y += hearty
return int(x), int(y)
def scatter_inside(x, y, beta=0.15):
ratio_x = - beta * log(random.random())
ratio_y = - beta * log(random.random())
dx = ratio_x * (x - heartx)
dy = ratio_y * (y - hearty)
return x - dx, y - dy
def shrink(x, y, ratio):
force = -1 / (((x - heartx) ** 2 + (y - hearty) ** 2) ** 0.6)
dx = ratio * force * (x - heartx)
dy = ratio * force * (y - hearty)
return x - dx, y - dy
def curve(p):
return 2 * (2 * sin(4 * p)) / (2 * pi)
def draw(main, render_canvas, render_heart, render_frame=0):
render_canvas.delete('all')
render_heart.render(render_canvas, render_frame)
main.after(50, draw, main, render_canvas, render_heart, render_frame + 1)
def main():
root = tk.Tk()
root.title("爱心代码")
root.resizable(False, False)
screenwidth = root.winfo_screenwidth()
screenheight = root.winfo_screenheight()
x = (screenwidth - width) // 2
y = (screenheight - height) // 2 - 66
root.geometry(f"{width}x{height}+{x}+{y}")
canvas = tk.Canvas(root, bg=bg_color, width=width, height=height, highlightthickness=0)
canvas.pack()
heart = Heart()
draw(root, canvas, heart)
root.mainloop()
if __name__ == '__main__':
main()
3.代码分析
(1)导入模块和全局变量设置
import tkinter as tk
import random
from math import sin, cos, pi, log
from tkinter.constants import *
# 画布尺寸和爱心位置
width, height = 800, 600
heartx, hearty = width / 2, height / 2
side = 11 # 爱心大小比例系数
heartcolor = "#FF85A2" # 主爱心颜色(粉红色)
bg_color = "#1A1A2E" # 背景颜色(深蓝色)
(2)Heart类 - 核心动画逻辑
class Heart:
def __init__(self, generate_frame=20):
""" 初始化爱心动画
参数:
generate_frame: 动画生成的帧数,影响动画长度
"""
self._points = set() # 爱心边缘点集合
self._edge_diffusion_points = set() # 边缘扩散点集合
self._center_diffusion_points = set() # 中心扩散点集合
self.all_points = {} # 存储所有帧的点数据
self.build(2000) # 初始构建2000个基础点
self.generate_frame = generate_frame # 动画帧数
# 预计算所有帧的数据
for frame in range(generate_frame):
self.calc(frame)
def build(self, number):
""" 构建爱心的基础点
参数:
number: 生成的基础点数量
"""
for _ in range(number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t)
self._points.add((x, y))
# 创建边缘扩散效果
for _x, _y in list(self._points):
for _ in range(3):
x, y = scatter_inside(_x, _y, 0.05)
self._edge_diffusion_points.add((x, y))
# 创建中心扩散效果(更多点)
point_list = list(self._points)
for _ in range(8000):
x, y = random.choice(point_list)
x, y = scatter_inside(x, y, 0.17)
self._center_diffusion_points.add((x, y))
@staticmethod
def calc_position(x, y, ratio):
""" 计算点的动态位置
参数:
x, y: 原始坐标
ratio: 移动比例,控制动画幅度
"""
force = 1 / (((x - heartx) ** 2 + (y - hearty) ** 2) ** 0.520)
dx = ratio * force * (x - heartx) + random.randint(-1, 1)
dy = ratio * force * (y - hearty) + random.randint(-1, 1)
return x - dx, y - dy
def calc(self, generate_frame):
""" 计算每一帧的点位置和属性
参数:
generate_frame: 当前帧序号
"""
# 计算当前帧的动画比例和光晕参数
ratio = 10 * curve(generate_frame / 10 * pi)
halo_radius = int(4 + 6 * (1 + curve(generate_frame / 10 * pi)))
halo_number = int(3000 + 4000 * abs(curve(generate_frame / 10 * pi) ** 2))
all_points = []
heart_halo_point = set()
# 生成光晕效果点
for _ in range(halo_number):
t = random.uniform(0, 2 * pi)
x, y = heart_function(t, shrink_ratio=11.6)
x, y = shrink(x, y, halo_radius)
if (x, y) not in heart_halo_point:
heart_halo_point.add((x, y))
x += random.randint(-14, 14) # 添加随机偏移
y += random.randint(-14, 14)
size = random.choice((1, 2, 2)) # 随机大小
all_points.append((x, y, size, random.choice(["#FFD700", "#FFA07A", "#FFB6C1", "#FFC0CB"])))
# 添加基础爱心点
for x, y in self._points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 3)
all_points.append((x, y, size, heartcolor))
# 添加边缘扩散点(使用暖色调)
warm_colors = ["#FFB6C1", "#FFC0CB", "#FFD700", "#FFA07A", "#FF8C66", "#FFA500"]
for x, y in self._edge_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size, random.choice(warm_colors)))
# 添加中心扩散点
for x, y in self._center_diffusion_points:
x, y = self.calc_position(x, y, ratio)
size = random.randint(1, 2)
all_points.append((x, y, size, random.choice(warm_colors)))
# 存储当前帧的所有点
self.all_points[generate_frame] = all_points
def render(self, render_canvas, render_frame):
""" 渲染当前帧到画布
参数:
render_canvas: Tkinter画布对象
render_frame: 当前帧序号
"""
# 循环显示预计算的帧
for x, y, size, color in self.all_points[render_frame % self.generate_frame]:
render_canvas.create_rectangle(x, y, x + size, y + size, width=0, fill=color)