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pip install PyQt5 PyOpenGL numpy二、用命令行进入保存 .py 文件的目录#xff0c;运行#xff1a;
python openGL_3d_demo.py三、建立python文件命名openGL_3…效果 一、只需打开命令行Windows 可用 cmd输入
pip install PyQt5 PyOpenGL numpy二、用命令行进入保存 .py 文件的目录运行
python openGL_3d_demo.py三、建立python文件命名openGL_3d_demo.py后粘贴代码然后运行
import sys
import math
import time
import numpy as np
from PyQt5.QtCore import Qt, QTimer
from PyQt5.QtGui import QFont, QPalette, QColor
from PyQt5.QtWidgets import (QApplication, QMainWindow, QWidget, QVBoxLayout, QGridLayout,QTabWidget, QLabel, QFrame, QOpenGLWidget
)
from OpenGL.GL import *
from OpenGL.GLU import *# 通用3D控件
class Base3DGL(QOpenGLWidget):name 3D效果def __init__(self, parentNone):super().__init__(parent)self.last_pos Noneself.angle_x, self.angle_y 20, 20self.fps 0self._frames 0self._last_time time.time()self.setMinimumSize(220, 180)self.timer QTimer(self)self.timer.timeout.connect(self.update)self.timer.start(16)def initializeGL(self):glClearColor(0.10, 0.11, 0.15, 1.0)glEnable(GL_DEPTH_TEST)glShadeModel(GL_SMOOTH)def resizeGL(self, w, h):glViewport(0, 0, w, h)glMatrixMode(GL_PROJECTION)glLoadIdentity()gluPerspective(40.0, w / float(h or 1), 1.0, 100.0)glMatrixMode(GL_MODELVIEW)def paintGL(self):self._frames 1now time.time()if now - self._last_time 1.0:self.fps self._frames / (now - self._last_time)self._last_time nowself._frames 0glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT)glLoadIdentity()glTranslatef(0, 0, -9)glRotatef(self.angle_x, 1, 0, 0)glRotatef(self.angle_y, 0, 1, 0)self.render_scene()def mousePressEvent(self, event):self.last_pos event.pos()def mouseMoveEvent(self, event):if self.last_pos:dx event.x() - self.last_pos.x()dy event.y() - self.last_pos.y()self.angle_y dx * 0.7self.angle_x dy * 0.7self.last_pos event.pos()self.update()# 50种3D效果 # ----------- 第1页常见几何体 -----------
class SphereGL(Base3DGL):name 渐变球体def render_scene(self):for i in range(30):lat0 math.pi * (-0.5 float(i) / 30)z0 math.sin(lat0)zr0 math.cos(lat0)lat1 math.pi * (-0.5 float(i 1) / 30)z1 math.sin(lat1)zr1 math.cos(lat1)glBegin(GL_QUAD_STRIP)for j in range(32):lng 2 * math.pi * float(j) / 32x math.cos(lng)y math.sin(lng)c1 abs(x)c2 abs(y)c3 abs(z0)glColor3f(0.5*c10.2, 0.20.5*c2, 0.40.5*c3)glVertex3f(x * zr0, y * zr0, z0)c3b abs(z1)glColor3f(0.5*c10.3, 0.40.5*c2, 0.30.5*c3b)glVertex3f(x * zr1, y * zr1, z1)glEnd()class CubeGL(Base3DGL):name 彩色立方体def render_scene(self):faces [((1,1,1), (1,1,-1), (1,-1,-1), (1,-1,1)), # X((-1,1,1), (-1,1,-1), (-1,-1,-1), (-1,-1,1)), # -X((1,1,1), (1,1,-1), (-1,1,-1), (-1,1,1)), # Y((1,-1,1), (1,-1,-1), (-1,-1,-1), (-1,-1,1)), # -Y((1,1,1), (1,-1,1), (-1,-1,1), (-1,1,1)), # Z((1,1,-1), (1,-1,-1), (-1,-1,-1), (-1,1,-1)) # -Z]colors [(1,0,0), (0,1,0), (0,0,1), (1,1,0), (1,0,1), (0,1,1)]glBegin(GL_QUADS)for i, f in enumerate(faces):glColor3f(*colors[i])for v in f:glVertex3f(*v)glEnd()class OctahedronGL(Base3DGL):name 多彩八面体def render_scene(self):verts [(1,0,0), (-1,0,0), (0,1,0), (0,-1,0), (0,0,1), (0,0,-1)]faces [(0,2,4),(2,1,4),(1,3,4),(3,0,4),(0,2,5),(2,1,5),(1,3,5),(3,0,5)]colors [(1,0,0),(0,1,0),(0,0,1),(1,1,0),(1,0,1),(0,1,1),(1,0.5,0.5),(0.5,1,0.5)]glBegin(GL_TRIANGLES)for i, f in enumerate(faces):glColor3f(*colors[i%len(colors)])for idx in f:glVertex3f(*verts[idx])glEnd()class IcosahedronGL(Base3DGL):name 渐变二十面体def render_scene(self):t (1.0 math.sqrt(5.0)) / 2.0verts [(-1, t, 0), ( 1, t, 0), (-1, -t, 0), ( 1, -t, 0),( 0, -1, t), ( 0, 1, t), ( 0, -1, -t), ( 0, 1, -t),( t, 0, -1), ( t, 0, 1), (-t, 0, -1), (-t, 0, 1)]faces [(0,11,5),(0,5,1),(0,1,7),(0,7,10),(0,10,11),(1,5,9),(5,11,4),(11,10,2),(10,7,6),(7,1,8),(3,9,4),(3,4,2),(3,2,6),(3,6,8),(3,8,9),(4,9,5),(2,4,11),(6,2,10),(8,6,7),(9,8,1)]glBegin(GL_TRIANGLES)for i, f in enumerate(faces):c (i%3/2.0, (i*2)%5/5.0, (i*3)%7/7.0)glColor3f(*c)for idx in f:v verts[idx]s 0.6glVertex3f(v[0]*s, v[1]*s, v[2]*s)glEnd()class DodecahedronGL(Base3DGL):name 炫彩十二面体def render_scene(self):phi (1 5 ** 0.5) / 2a, b 1, 1/phiverts [[a,a,a], [a,a,-a], [a,-a,a], [a,-a,-a],[-a,a,a], [-a,a,-a], [-a,-a,a], [-a,-a,-a],[0,bphi,b], [0,bphi,-b], [0,-b-phi,b], [0,-b-phi,-b],[b,0,bphi], [b,0,-b-phi], [-b,0,bphi], [-b,0,-b-phi],[bphi,b,0], [bphi,-b,0], [-b-phi,b,0], [-b-phi,-b,0]]faces [[0,8,4,14,12], [0,12,16,2,10], [0,10,6,18,8], [8,18,19,5,4], [12,14,15,17,16],[2,16,17,1,13], [10,2,13,11,6], [6,11,7,19,18], [4,5,15,14], [1,17,15,5,9], [1,9,3,13], [3,11,13,9,7,19]]for i, face in enumerate(faces):glBegin(GL_POLYGON)c [(i%3)/2.0, (i*2)%5/5.0, (i*3)%7/7.0]glColor3f(*c)for idx in face:v verts[idx]glVertex3f(*[0.36*e for e in v])glEnd()class CylinderGL(Base3DGL):name 三色圆柱体def render_scene(self):N 32for j, color in enumerate([(1,0,0), (0,1,0), (0,0,1)]):glColor3f(*color)glBegin(GL_QUAD_STRIP)for i in range(j*N//3,(j1)*N//31):ang 2*math.pi*i/Nx math.cos(ang)y math.sin(ang)glVertex3f(x, y, 1)glVertex3f(x, y, -1)glEnd()for z, c in [(1, (0.7,0.8,0.4)), (-1, (0.5,0.9,0.6))]:glColor3f(*c)glBegin(GL_TRIANGLE_FAN)glVertex3f(0,0,z)for i in range(N1):ang 2*math.pi*i/NglVertex3f(math.cos(ang), math.sin(ang), z)glEnd()class ConeGL(Base3DGL):name 三色圆锥体def render_scene(self):N 32for cidx, color in enumerate([(1,0,0),(0,1,0),(0,0,1)]):glColor3f(*color)glBegin(GL_TRIANGLE_FAN)glVertex3f(0,0,1.3)for i in range(cidx*N//3,(cidx1)*N//31):ang 2*math.pi*i/NglVertex3f(math.cos(ang), math.sin(ang), -1)glEnd()glColor3f(0.2, 0.6, 0.4)glBegin(GL_TRIANGLE_FAN)glVertex3f(0,0,-1)for i in range(N1):ang 2*math.pi*i/NglVertex3f(math.cos(ang), math.sin(ang), -1)glEnd()class TorusGL(Base3DGL):name 彩虹圆环体def render_scene(self):R, r 1.0, 0.36N, M 32, 18for i in range(N):glBegin(GL_QUAD_STRIP)for j in range(M1):for k in [0, 1]:s 2 * math.pi * (i k) / Nt 2 * math.pi * j / Mx (R r * math.cos(t)) * math.cos(s)y (R r * math.cos(t)) * math.sin(s)z r * math.sin(t)glColor3f(abs(math.cos(s)), abs(math.sin(t)), abs(math.cos(t)))glVertex3f(x, y, z)glEnd()class SpiralGL(Base3DGL):name 多彩螺旋线def render_scene(self):glBegin(GL_LINE_STRIP)for idx, t in enumerate(np.linspace(0, 6*math.pi, 120)):r 1.1 0.2*math.sin(t*6)x math.cos(t)*ry math.sin(t)*rz -1.1 t/(6*math.pi)*2.2glColor3f(abs(x), abs(y), abs(z))glVertex3f(x, y, z)glEnd()class WaveSurfaceGL(Base3DGL):name 渐变波浪面def render_scene(self):N 20for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 math.sin(x*3y*3self.angle_x*0.05)*0.5z2 math.sin((x4/N)*3y*3self.angle_y*0.06)*0.5glColor3f(0.50.5*j/N,0.50.5*i/N,0.50.25*(ij)/N)glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()# ----------- 第2页函数曲面特殊线型等 -----------
class HeartSurfaceGL(Base3DGL):name 心形面def render_scene(self):glBegin(GL_POINTS)for i in range(0, 90, 1):for j in range(0, 360, 3):theta math.radians(i)phi math.radians(j)x 16 * math.sin(theta)**3y 13 * math.cos(theta) - 5 * math.cos(2*theta) - 2 * math.cos(3*theta) - math.cos(4*theta)z 16 * math.sin(theta)**3 * math.sin(phi) / 4glColor3f(abs(math.sin(theta)), abs(math.cos(phi)), abs(math.sin(phi)))glVertex3f(x * 0.07, y * 0.07, z * 0.09)glEnd()class SineWaveGL(Base3DGL):name 三色正弦波曲面def render_scene(self):N 40for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 math.sin(x*4y*4)*0.7z2 math.sin((x4/N)*4y*4)*0.7glColor3f(abs(math.sin(x)), abs(math.cos(y)), abs(z1))glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()class SaddleGL(Base3DGL):name 马鞍曲面def render_scene(self):N 25for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 (x**2 - y**2)/4z2 ((x4/N)**2 - y**2)/4glColor3f(abs(z1), abs(x/2), abs(y/2))glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()class EggShapeGL(Base3DGL):name 蛋形曲面def render_scene(self):N 24for i in range(N):lat0 math.pi * (-0.5 float(i) / N)z0 math.sin(lat0)*1.2 0.4*math.sin(lat0)**3zr0 math.cos(lat0)lat1 math.pi * (-0.5 float(i1) / N)z1 math.sin(lat1)*1.2 0.4*math.sin(lat1)**3zr1 math.cos(lat1)glBegin(GL_QUAD_STRIP)for j in range(N1):lng 2 * math.pi * float(j) / Nx math.cos(lng)y math.sin(lng)glColor3f((j%3)/2, (i%5)/4, (j%7)/6)glVertex3f(x * zr0, y * zr0, z0)glVertex3f(x * zr1, y * zr1, z1)glEnd()class KleinBottleGL(Base3DGL):name 克莱因瓶-彩色def render_scene(self):N 32for i in range(N):glBegin(GL_QUAD_STRIP)for j in range(N1):u 2*math.pi*i/Nv 2*math.pi*j/Nx (2/15)*(35*math.cos(u))*math.sin(u) (2/15)*2*math.cos(u)*math.sin(v)y (2/15)*(35*math.cos(u))*math.cos(u) (2/15)*2*math.sin(u)*math.sin(v)z (2/15)*2*math.cos(v)glColor3f(abs(math.sin(u)), abs(math.sin(v)), abs(math.cos(u)))glVertex3f(x, y, z)glEnd()class StarGL(Base3DGL):name 星形体-三色def render_scene(self):glBegin(GL_TRIANGLE_FAN)glColor3f(1,0,0)glVertex3f(0,0,1.1)for i in range(13):ang i/12*2*math.pir 1.2 if i%20 else 0.6glColor3f((i%3)/2,(i%4)/3,(i%5)/4)glVertex3f(r*math.cos(ang), r*math.sin(ang), -0.7)glEnd()class MobiusGL(Base3DGL):name 莫比乌斯环def render_scene(self):N 60w 0.2for i in range(N):glBegin(GL_QUAD_STRIP)for j in range(2):phi 2*math.pi*i/Nt -w 2*w*jx math.cos(phi) t*math.cos(phi/2)*math.cos(phi)y math.sin(phi) t*math.cos(phi/2)*math.sin(phi)z t*math.sin(phi/2)glColor3f(abs(math.cos(phi)), abs(math.sin(phi)), abs(t))glVertex3f(x, y, z)glEnd()class RippleGL(Base3DGL):name 涟漪def render_scene(self):N 30for i in range(N):glBegin(GL_LINE_STRIP)for j in range(N1):r 0.2 1.6 * i/Ntheta 2*math.pi*j/Nz math.sin(r*4-theta*2)*0.3glColor3f(abs(math.sin(r)), abs(math.cos(theta)), abs(z))glVertex3f(r*math.cos(theta), r*math.sin(theta), z)glEnd()class RoseGL(Base3DGL):name 玫瑰线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(600):theta i/100 * math.pir math.sin(3*theta)*1.5x r*math.cos(theta)y r*math.sin(theta)z math.cos(5*theta)glColor3f(abs(math.sin(theta)), abs(math.cos(theta)), abs(z))glVertex3f(x, y, z)glEnd()class TrefoilGL(Base3DGL):name 三叶结def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(400):t 2*math.pi*i/400x math.sin(t) 2*math.sin(2*t)y math.cos(t) - 2*math.cos(2*t)z -math.sin(3*t)glColor3f(abs(math.sin(t)), abs(math.cos(t)), abs(z))glVertex3f(x, y, z)glEnd()# ----------- 第3页动态变体/动画 -----------
class BubbleGL(Base3DGL):name 泡泡球def render_scene(self):t time.time()for i in range(12, 40, 3):glBegin(GL_LINE_LOOP)r 10.2*math.sin(ti)for j in range(32):ang 2*math.pi*j/32x, y, z r*math.sin(i)*math.cos(ang), r*math.sin(i)*math.sin(ang), r*math.cos(i)glColor3f(abs(math.sin(ang)), abs(math.cos(i)), abs(math.cos(ang)))glVertex3f(x/15, y/15, z/15)glEnd()class AnimatedWaveGL(Base3DGL):name 动态波浪def render_scene(self):t time.time()N 22for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 math.sin(x*2y*2t*2)*0.6z2 math.sin((x4/N)*2y*2t*2)*0.6glColor3f(0.50.5*math.sin(ti), 0.60.4*math.cos(tj), 0.60.4*math.cos(ij))glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()class AnimatedSpiralGL(Base3DGL):name 动画螺旋def render_scene(self):t time.time()glBegin(GL_LINE_STRIP)for idx in range(120):ang idx/20 tr 1.1 0.2*math.sin(idx*6t)x math.cos(ang)*ry math.sin(ang)*rz math.sin(t idx/24)*0.6glColor3f(abs(math.sin(ang)), abs(math.cos(idx)), abs(z))glVertex3f(x, y, z)glEnd()class AnimatedWaveSurfaceGL(Base3DGL):name 动画波浪面def render_scene(self):t time.time()N 18for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 math.sin(x*3y*3t)*0.5z2 math.sin((x4/N)*3y*3t)*0.5glColor3f(abs(math.sin(tx)), abs(math.cos(ty)), abs(z1))glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()class AnimatedTwistGL(Base3DGL):name 动态扭曲体def render_scene(self):t time.time()N 20for i in range(N):glBegin(GL_TRIANGLE_STRIP)for j in range(N1):x -2 4*i/Ny -2 4*j/Nz1 math.sin(x*3y*3t*1.5i*0.2j*0.2)*0.3z2 math.sin((x4/N)*3y*3t*1.5i*0.2j*0.2)*0.3glColor3f(0.50.5*math.sin(ti), 0.60.4*math.cos(tj), 0.80.2*math.cos(ij))glVertex3f(x, y, z1)glVertex3f(x4/N, y, z2)glEnd()class AnimatedSphereGL(Base3DGL):name 动态呼吸球def render_scene(self):t time.time()for i in range(30):lat0 math.pi * (-0.5 float(i) / 30)z0 math.sin(lat0)zr0 math.cos(lat0)lat1 math.pi * (-0.5 float(i 1) / 30)z1 math.sin(lat1)zr1 math.cos(lat1)glBegin(GL_QUAD_STRIP)for j in range(32):lng 2 * math.pi * float(j) / 32x math.cos(lng)y math.sin(lng)s 1.1 0.25*math.sin(tj*0.13i*0.11)glColor3f(abs(x), abs(y), abs(z0))glVertex3f(x * zr0 * s, y * zr0 * s, z0 * s)glVertex3f(x * zr1 * s, y * zr1 * s, z1 * s)glEnd()class AnimatedTwistTorusGL(Base3DGL):name 动态扭曲圆环def render_scene(self):t time.time()R, r 1.0, 0.36N, M 32, 18for i in range(N):glBegin(GL_QUAD_STRIP)for j in range(M1):for k in [0, 1]:s 2 * math.pi * (i k) / Nt1 2 * math.pi * j / M 0.5*math.sin(ts)x (R r * math.cos(t1)) * math.cos(s)y (R r * math.cos(t1)) * math.sin(s)z r * math.sin(t1)glColor3f(abs(math.cos(s)), abs(math.sin(t1)), abs(math.sin(s)))glVertex3f(x, y, z)glEnd()class AnimatedExplosionGL(Base3DGL):name 动态爆炸球def render_scene(self):t time.time()for i in range(20, 30):lat0 math.pi * (-0.5 float(i) / 30)z0 math.sin(lat0)zr0 math.cos(lat0)lat1 math.pi * (-0.5 float(i1) / 30)z1 math.sin(lat1)zr1 math.cos(lat1)glBegin(GL_LINE_STRIP)for j in range(32):lng 2 * math.pi * float(j) / 32x math.cos(lng)y math.sin(lng)f 1.00.6*math.sin(t*2ij)glColor3f(abs(x*f), abs(y*f), abs(z0*f))glVertex3f(x * zr0*f, y * zr0*f, z0*f)glEnd()class AnimatedEggGL(Base3DGL):name 动态蛋形def render_scene(self):t time.time()N 24for i in range(N):lat0 math.pi * (-0.5 float(i) / N)z0 math.sin(lat0)*1.2 0.4*math.sin(lat0t)**3zr0 math.cos(lat0)lat1 math.pi * (-0.5 float(i1) / N)z1 math.sin(lat1)*1.2 0.4*math.sin(lat1t)**3zr1 math.cos(lat1)glBegin(GL_QUAD_STRIP)for j in range(N1):lng 2 * math.pi * float(j) / Nx math.cos(lng)y math.sin(lng)glColor3f((j%3)/2, (i%5)/4, (j%7)/6)glVertex3f(x * zr0, y * zr0, z0)glVertex3f(x * zr1, y * zr1, z1)glEnd()class AnimatedRippleGL(Base3DGL):name 动画涟漪def render_scene(self):t time.time()N 30for i in range(N):glBegin(GL_LINE_STRIP)for j in range(N1):r 0.2 1.6 * i/Ntheta 2*math.pi*j/Nz math.sin(r*4-theta*2t*2)*0.3glColor3f(abs(math.sin(rt)), abs(math.cos(theta)), abs(z))glVertex3f(r*math.cos(theta), r*math.sin(theta), z)glEnd()# ----------- 第4页极坐标/分形/特殊体 -----------
class HelixGL(Base3DGL):name 三色螺旋弹簧def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(300):t i/50x math.cos(t)*1.2y math.sin(t)*1.2z t/4glColor3f(abs(math.sin(t)), abs(math.cos(t)), abs(z)%1)glVertex3f(x, y, z)glEnd()class HyperboloidGL(Base3DGL):name 双曲面def render_scene(self):N 30for i in range(N):glBegin(GL_LINE_LOOP)for j in range(N):u i*2*math.pi/Nv j*2*math.pi/Nx math.cosh(v)*math.cos(u)y math.cosh(v)*math.sin(u)z math.sinh(v)glColor3f(abs(math.sin(u)), abs(math.cos(v)), abs(z)%1)glVertex3f(x/6, y/6, z/6)glEnd()class ParaboloidGL(Base3DGL):name 抛物面def render_scene(self):N 30for i in range(N):glBegin(GL_LINE_LOOP)for j in range(N):u i*2*math.pi/Nv j*2/Nx v*math.cos(u)y v*math.sin(u)z v**2glColor3f(abs(math.sin(u)), abs(math.cos(v)), abs(z)%1)glVertex3f(x, y, z/4)glEnd()class AstroidGL(Base3DGL):name 阿斯托洛伊德def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(400):t 2 * math.pi * i / 400x math.cos(t)**3y math.sin(t)**3z math.cos(3*t)glColor3f(abs(x), abs(y), abs(z))glVertex3f(x, y, z/2)glEnd()class SuperquadricGL(Base3DGL):name 超二次曲面def render_scene(self):N 32e 0.5for i in range(N):u -math.pi/2 i*math.pi/Nu2 -math.pi/2 (i1)*math.pi/NglBegin(GL_QUAD_STRIP)for j in range(N1):v -math.pi 2*j*math.pi/Nx1 math.copysign(abs(math.cos(u))**e, math.cos(u))*math.copysign(abs(math.cos(v))**e, math.cos(v))y1 math.copysign(abs(math.cos(u))**e, math.cos(u))*math.copysign(abs(math.sin(v))**e, math.sin(v))z1 math.copysign(abs(math.sin(u))**e, math.sin(u))x2 math.copysign(abs(math.cos(u2))**e, math.cos(u2))*math.copysign(abs(math.cos(v))**e, math.cos(v))y2 math.copysign(abs(math.cos(u2))**e, math.cos(u2))*math.copysign(abs(math.sin(v))**e, math.sin(v))z2 math.copysign(abs(math.sin(u2))**e, math.sin(u2))glColor3f(abs(x1), abs(y1), abs(z1))glVertex3f(x1, y1, z1)glColor3f(abs(x2), abs(y2), abs(z2))glVertex3f(x2, y2, z2)glEnd()class ButterflyGL(Base3DGL):name 蝴蝶线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(800):t i/50x math.sin(t)*(math.exp(math.cos(t)) - 2*math.cos(4*t) - math.sin(t/12)**5)y math.cos(t)*(math.exp(math.cos(t)) - 2*math.cos(4*t) - math.sin(t/12)**5)z math.sin(3*t)glColor3f(abs(x)%1, abs(y)%1, abs(z)%1)glVertex3f(x/3, y/3, z/2)glEnd()class LissajousGL(Base3DGL):name 利萨茹空间曲线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(800):t i/100x math.sin(3*t math.pi/2)y math.sin(4*t)z math.sin(5*t)glColor3f(abs(x), abs(y), abs(z))glVertex3f(x, y, z)glEnd()class VivianiGL(Base3DGL):name 维维亚尼曲线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(800):t 2*math.pi*i/800x 1 math.cos(t)y math.sin(t)z 2*math.sin(t/2)glColor3f(abs(x), abs(y), abs(z/2))glVertex3f(x/2, y/2, z/2)glEnd()class HypocycloidGL(Base3DGL):name 内摆线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(800):t 2*math.pi*i/800x 2*math.cos(t) math.cos(2*t)y 2*math.sin(t) - math.sin(2*t)z math.sin(3*t)glColor3f(abs(x/2), abs(y/2), abs(z/2))glVertex3f(x/2, y/2, z/2)glEnd()class EpicycloidGL(Base3DGL):name 外摆线def render_scene(self):glBegin(GL_LINE_STRIP)for i in range(800):t 2*math.pi*i/800x 2*math.cos(t) - math.cos(2*t)y 2*math.sin(t) - math.sin(2*t)z math.cos(3*t)glColor3f(abs(x/2), abs(y/2), abs(z/2))glVertex3f(x/2, y/2, z/2)glEnd()# ----------- 第5页分形/变幻/多样体 -----------
class FernGL(Base3DGL):name 分形蕨叶def render_scene(self):points []x, y 0, 0for i in range(5000):r np.random.random()if r 0.01:x, y 0, 0.16*yelif r 0.86:x, y 0.85*x 0.04*y, -0.04*x 0.85*y 1.6elif r 0.93:x, y 0.2*x - 0.26*y, 0.23*x 0.22*y 1.6else:x, y -0.15*x 0.28*y, 0.26*x 0.24*y 0.44points.append((x, y))glBegin(GL_POINTS)for px, py in points:glColor3f(0, 0.60.3*px, 0.20.5*py)glVertex3f((px-2)*0.5, (py-3)*0.5, 0)glEnd()class SierpinskiGL(Base3DGL):name 谢尔宾斯基地毯def render_scene(self):def draw_carpet(x, y, s, depth):if depth 0:glColor3f(1,0.6,0.2)glVertex3f(x, y, 0)returns / 3for dx in [-s, 0, s]:for dy in [-s, 0, s]:if dx ! 0 or dy ! 0:draw_carpet(xdx, ydy, s, depth-1)glBegin(GL_POINTS)draw_carpet(0,0,1.0,4)glEnd()class KochCurveGL(Base3DGL):name 科赫雪花def render_scene(self):def koch(p1, p2, depth):if depth 0:glColor3f(0.2,0.5,1)glVertex3f(*p1)glVertex3f(*p2)else:p3 ((2*p1[0]p2[0])/3, (2*p1[1]p2[1])/3, 0)p4 ((p1[0]2*p2[0])/3, (p1[1]2*p2[1])/3, 0)ang math.atan2(p2[1]-p1[1], p2[0]-p1[0]) - math.pi/3px p3[0] math.cos(ang)*(abs(p4[0]-p3[0]))py p3[1] math.sin(ang)*(abs(p4[0]-p3[0]))p5 (px, py, 0)koch(p1, p3, depth-1)koch(p3, p5, depth-1)koch(p5, p4, depth-1)koch(p4, p2, depth-1)glBegin(GL_LINES)koch((-0.8,0.5,0), (0.8,0.5,0), 3)koch((0.8,0.5,0), (0,-0.8,0), 3)koch((0,-0.8,0), (-0.8,0.5,0), 3)glEnd()class FractalTreeGL(Base3DGL):name 分形树def render_scene(self):def draw_tree(x, y, angle, depth):if depth 0: returnx2 x math.cos(angle)*depth*0.11y2 y math.sin(angle)*depth*0.11glColor3f(0.3,0.20.08*depth,0.10.03*depth)glVertex3f(x, y, 0)glVertex3f(x2, y2, 0)draw_tree(x2, y2, angle-math.pi/6, depth-1)draw_tree(x2, y2, anglemath.pi/6, depth-1)glBegin(GL_LINES)draw_tree(0,-0.7,math.pi/2,6)glEnd()class DragonCurveGL(Base3DGL):name 龙曲线def render_scene(self):def dragon(p1, p2, depth):if depth 0:glColor3f(0.7,0.2,1)glVertex3f(*p1)glVertex3f(*p2)else:mx (p1[0]p2[0])/2 (p2[1]-p1[1])/2my (p1[1]p2[1])/2 - (p2[0]-p1[0])/2m (mx,my,0)dragon(p1, m, depth-1)dragon(p2, m, depth-1)glBegin(GL_LINES)dragon((-0.7,0,0), (0.7,0,0), 12)glEnd()class JuliaGL(Base3DGL):name Julia分形def render_scene(self):glBegin(GL_POINTS)for ix in range(120):for iy in range(120):x (ix-60)/40y (iy-60)/40zx, zy x, ycX, cY -0.7, 0.27015n, max_n 0, 30while zx*zx zy*zy 4 and n max_n:tmp zx*zx - zy*zy cXzy, zx 2*zx*zy cY, tmpn 1glColor3f(n/max_n, 0.20.6*n/max_n, 1-n/max_n)glVertex3f(x, y, 0)glEnd()class MandelbrotGL(Base3DGL):name Mandelbrot分形def render_scene(self):glBegin(GL_POINTS)for ix in range(120):for iy in range(120):x0 (ix-60)/40y0 (iy-60)/40x, y 0, 0n, max_n 0, 30while x*x y*y 4 and n max_n:xt x*x - y*y x0y 2*x*y y0x xtn 1glColor3f(n/max_n, 1-n/max_n, 0.7*n/max_n)glVertex3f(x0, y0, 0)glEnd()class PeanoGL(Base3DGL):name 皮亚诺曲线def render_scene(self):def peano(x, y, dx, dy, depth):if depth 0:glColor3f(0.30.6*x,0.7-0.3*y,0.50.3*y)glVertex3f(x, y, 0)returnfor i in [0,1,2]:for j in [0,1,2]:peano(xi*dx/3, yj*dy/3, dx/3, dy/3, depth-1)glBegin(GL_POINTS)peano(-0.7,-0.7,1.4,1.4,3)glEnd()class CantorGL(Base3DGL):name 康托三分集def render_scene(self):def cantor(x, y, l, depth):if depth 0:glColor3f(0.8,0.8,0.2)glVertex3f(x, y, 0)glVertex3f(xl, y, 0)returnglColor3f(0.8,0.5,0.10.1*depth)glVertex3f(x, y, 0)glVertex3f(xl, y, 0)cantor(x, y-0.1, l/3, depth-1)cantor(x2*l/3, y-0.1, l/3, depth-1)glBegin(GL_LINES)cantor(-0.8, 0.8, 1.6, 6)glEnd()class PolygonFanGL(Base3DGL):name 渐变扇形多边形def render_scene(self):glBegin(GL_TRIANGLE_FAN)glColor3f(1,1,1)glVertex3f(0,0,0)for i in range(31):ang 2*math.pi*i/30glColor3f(abs(math.sin(ang)), abs(math.cos(ang)), 0.50.5*math.sin(ang*3))glVertex3f(math.cos(ang), math.sin(ang), 0)glEnd()# 工厂函数
def get_3d_widget_by_index(idx):page1 [SphereGL, CubeGL, OctahedronGL, IcosahedronGL, DodecahedronGL,CylinderGL, ConeGL, TorusGL, SpiralGL, WaveSurfaceGL]page2 [HeartSurfaceGL, SineWaveGL, SaddleGL, EggShapeGL, KleinBottleGL,StarGL, MobiusGL, RippleGL, RoseGL, TrefoilGL]page3 [BubbleGL, AnimatedWaveGL, AnimatedSpiralGL, AnimatedWaveSurfaceGL, AnimatedTwistGL,AnimatedSphereGL, AnimatedTwistTorusGL, AnimatedExplosionGL, AnimatedEggGL, AnimatedRippleGL]page4 [HelixGL, HyperboloidGL, ParaboloidGL, AstroidGL, SuperquadricGL,ButterflyGL, LissajousGL, VivianiGL, HypocycloidGL, EpicycloidGL]page5 [FernGL, SierpinskiGL, KochCurveGL, FractalTreeGL, DragonCurveGL,JuliaGL, MandelbrotGL, PeanoGL, CantorGL, PolygonFanGL]allcls page1 page2 page3 page4 page5return allcls[idx]()# 主窗口
class All3DEffectsGLDemo(QMainWindow):def __init__(self):super().__init__()self.setWindowTitle(50种3D效果合集GPUFPS鼠标旋转)self.setGeometry(100, 60, 1600, 900)self.init_ui()def init_ui(self):widget QWidget()vbox QVBoxLayout(widget)self.setCentralWidget(widget)title QLabel( 50种3D效果演示 (OpenGLFPS实时) )title.setFont(QFont(微软雅黑, 24, QFont.Bold))title.setAlignment(Qt.AlignCenter)title.setStyleSheet(color:#43e97b; background: #191a25;border-radius:14px; margin:10px; padding:20px;border: 2px solid #647dee;)vbox.addWidget(title)tabs QTabWidget()tabs.setTabPosition(QTabWidget.West)tabs.setStyleSheet(QTabBar::tab {background: #232338;color: #a3e0ff;font: 16px 微软雅黑;border: 2px solid #647dee;border-radius: 12px;margin: 6px;min-width: 110px;min-height: 50px;padding: 8px 18px;}QTabBar::tab:selected {background: qlineargradient(x1:0, y1:0, x2:1, y2:0, stop:0 #43e97b, stop:1 #38f9d7);color: #161623;font: bold 18px 微软雅黑;border: 3px solid #43e97b;}QTabBar::tab:hover {background: #304674;color: #fff;}QTabWidget::pane {border: 2px solid #647dee;border-radius: 16px;margin: 8px;})vbox.addWidget(tabs)self.widget_list []for page in range(5):tab QWidget()grid QGridLayout(tab)for i in range(10):idx page*10 iframe QFrame()frame.setFrameShape(QFrame.StyledPanel)frame.setStyleSheet(background:#22242e; border-radius:18px;)vlay QVBoxLayout(frame)w get_3d_widget_by_index(idx)self.widget_list.append(w)vlay.setContentsMargins(2,2,2,2)vlay.addWidget(w)fps_label QLabel()fps_label.setFont(QFont(微软雅黑, 10))fps_label.setStyleSheet(color:#43e97b; margin-left:3px;)fps_label.setAlignment(Qt.AlignLeft)vlay.addWidget(fps_label)frame.fps_label fps_labelframe.widget wgrid.addWidget(frame, i//5, i%5)tabs.addTab(tab, f第{page1}页)for i in range(5): grid.setColumnStretch(i, 1)for i in range(2): grid.setRowStretch(i, 1)self.fps_timer QTimer(self)self.fps_timer.timeout.connect(self.update_fps_labels)self.fps_timer.start(400)def update_fps_labels(self):for tab_index in range(5):tab self.centralWidget().layout().itemAt(1).widget().widget(tab_index)grid tab.layout()for i in range(10):frame grid.itemAt(i).widget()w frame.widgetframe.fps_label.setText(f{w.name}\nFPS: {w.fps:.1f})if __name__ __main__:app QApplication(sys.argv)app.setStyle(Fusion)palette QPalette()palette.setColor(QPalette.Window, QColor(#191a25))palette.setColor(QPalette.WindowText, QColor(#e0eafc))app.setPalette(palette)win All3DEffectsGLDemo()win.show()sys.exit(app.exec_())
