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【作品展示】

 

【作品介绍】

分形图上帝的指纹

上下左右键移动视角

ws键放大缩小

ad键减少，增加精度

空格输出参数

q键还原

 

【作品源代码】

import pygame
import sys
import math
from pygame.locals import*
screen_length = 900
centrex = -0.45
centrey = 0
zx = 0
zy = 0
TULV_TO_ASP = 3/screen_length
cnt = 20
cnt_print=1
pygame.init()
screen = pygame.display.set_mode((screen_length, screen_length))
pygame.display.set_caption("曼得勃罗集")


def z(zx, zy, cx, cy, cnt):
    a = (zx, zy)
    b = (zx, zy)
    for i in range(cnt):
        b = (a[0]**2-a[1]**2+cx, 2*a[0]*a[1]+cy)
        if math.sqrt(abs(b[0])**2+abs(b[1])**2) >= 2:
            return "big"
        a = b
    return b


#print(z(zx, zy, -1.8, -0.3, cnt))


def draw():
    global screen_length, centrex, centrey, zx, zy, TULV_TO_ASP, cnt, screen
    screen.fill((255, 255, 255))
    range_cnt = int(screen_length/5+1)
    for x in range(range_cnt):
        for y in range(range_cnt):
            cx = centrex+TULV_TO_ASP*(5*x+3-screen_length/2)
            cy = centrey+TULV_TO_ASP*(5*y+3-screen_length/2)
            return_z = z(zx, zy, cx, cy, cnt)
            if return_z != "big":
                pygame.draw.rect(screen, (0, 0, 0), (x*5, y*5, 5, 5))
    pygame.display.update()


draw()
while True:
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            pygame.quit()
            sys.exit()
        if event.type == pygame.KEYUP:
            # 上下左右移动
            if event.key == pygame.K_UP:
                centrey -= 50*TULV_TO_ASP
                draw()
            if event.key == pygame.K_LEFT:
                centrex -= 50*TULV_TO_ASP
                draw()
            if event.key == pygame.K_DOWN:
                centrey += 50*TULV_TO_ASP
                draw()
            if event.key == pygame.K_RIGHT:
                centrex += 50*TULV_TO_ASP
                draw()
            # w大a小，a多d少
            if event.key == pygame.K_w:
                TULV_TO_ASP = TULV_TO_ASP/1.1
                draw()
            if event.key == pygame.K_a:
                cnt = int(cnt*1.1)
                draw()
            if event.key == pygame.K_s:
                TULV_TO_ASP = TULV_TO_ASP*1.1
                draw()
            if event.key == pygame.K_d and cnt/1.1 >= 10:
                cnt = int(cnt/1.1)
                draw()
            if event.key == pygame.K_q:
                centrex = -0.45
                centrey = 0
                cnt = 20
                draw()
            if event.key == pygame.K_SPACE:
                print(cnt_print)
                print()
                print("------------------")
                print("|TULV_TO_ASP")
                print("|cnt")
                print("|centrex", "centrey")
                print("------------------")
                print("|", TULV_TO_ASP)
                print("|", cnt)
                print("|", centrex, centrey)
                print("------------------")
                cnt_print+=1

 

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