[游戏娱乐] 塔珀自指公式自定义图形构造器

aa77dd@163.com

测试于 64bit Win7 Mathematica 10.0

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::............####  ####   ####   ####   ###  ##### #   #  ###  #   # #####   #   # ##### #####.............
::............#   # #   # #       #   # #   #   #   #   # #   # ## ## #       ##  # #       #  .............
::............####  ####   ###    ####  #####   #   ##### #   # # # # #####   # # # #####   #  .............
::............#   # #   #     #   #   # #   #   #   #   # #   # #   # #       #  ## #       #  .............
::............####  ####  ####  # ####  #   #   #   #   #  ###  #   # ##### # #   # #####   #  .............
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::                        上面区域除了左边的两个冒号外, 右边部分保持 106 宽 X 17 高
::                    不要增加多余的任何空行, 不要删除行, 不要用 # . 空格 之外的字符作图
::                                  # 是绘图像素, . 号和 空格 都是空白像素
::
::                                             BBS.BATHOME.NET
:: aa77dd@163.com 20161008_001459
:: 
:: 图像显示调整参数参考
:: http://math.stackexchange.com/questions/27182/tuppers-self-referential-formula-with-mathematica
:: 公式表达:  1/2 < floor(mod(floor(y/17)*2^(-17*floor(x)-mod(floor(y), 17)),2))
:: Tupper's self-referential formula @ wikipedia
:: https://en.wikipedia.org/wiki/Tupper%27s_self-referential_formula
::
:: 公式自身图形常数值
:: k=960939379918958884971672962127852754715004339660129306651505519271\
:: 7028023952664246896428421743507181212671537827706233559932372808741443\
:: 0789132596394133772348785773574982392662971551717371699516523289053822\
:: 1612403238855866184013235585136048828693337902491454229288667081096184\
:: 4960917051834540678277315517054053816273809676025656250169814820834187\
:: 8316384911559022561000365235137034387446184837873723819822484986346503\
:: 3159410054974700593138339226497249461751545728366702369745461014655997\
:: 933798537483143786841806593422227898388722980000748404719;
 
@echo off & setlocal enabledelayedexpansion
chcp 936
mode 110
for /f usebackq^ delims^= %%a in ("%~f0") do (
    set /a cnt+=1
    if !cnt! leq 17 (
        for %%i in (!cnt!) do (
            set "L%%i=%%a"
            set "L%%i=!L%%i:~2!"
            set "L%%i=!L%%i:#=1!"
            set "L%%i=!L%%i:.= !"
            echo;[!L%%i!]
        )
    )
)
REM 左下角最最高位, 右上角是最低位
set "BIN="
for /L %%c in (0 1 105) do (
    for /L %%r in (17 -1 1) do (
        set "BIN=!BIN!!L%%r:~%%c,1!"
        if "!BIN!"==" " set "BIN="
    )
)
 
set "oFile=BBS.BATHOME.NET.Tupper_s_self-referential_formula.nb"
 
>"!oFile!"  (
    echo;k=17*FromDigits["!BIN: =0!",2]; sh = 1;
    echo;tb = Table[
    echo; 1/2 ^< Floor[ Mod[Floor[y/17]*2^^^(-17 Floor[x] - Mod[Floor[y], 17]^), 2]],
    echo; {y, k + 17 - sh, k, -sh}, {x, 106 - sh, 0, -sh}];
    echo;g = Graphics[Raster[tb /. {True -^> 0, False -^> 1}], ImagePadding -^> None, PlotRangePadding -^> None]
)
 
call :runNbAtMathematica
pause
exit
 
 
:runNbAtMathematica
 
for /f "delims== tokens=1*" %%a in ('ftype ^| findstr /i /r "\.nb.*Mathematica.exe"') do (
    set "MathematicaPath=%%~dpnb.exe"
    echo;找到 Mathematica 路径 !MathematicaPath!  启动 Mathematica ...
    start "" "!MathematicaPath!" "%~dp0!oFile!"
    exit /b
)
if not defined MathematicaPath echo;未安装 Mathematica
exit /bCOPY

happy886rr

很有数学艺术感

codegay

没图没JB