added files

.gitignore

@@ -0,0 +1,96 @@
+# ---> Python
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+env/
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*,cover
+.hypothesis/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# pyenv
+.python-version
+
+# celery beat schedule file
+celerybeat-schedule
+
+# SageMath parsed files
+*.sage.py
+
+# dotenv
+.env
+
+# virtualenv
+.venv
+venv/
+ENV/
+
+# Spyder project settings
+.spyderproject
+
+# Rope project settings
+.ropeproject
+

cython/serp.pyx

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+from cpython cimport array
+cdef list serp(int n):
+     cdef list ret = []
+     cdef int ind
+     cdef int i
+     cdef int v
+     cdef array.array t = array.array('b',(1,))
+ 
+     for ind in range(1,n+1):
+         ret.append(t)
+         l = ret[-1]
+         t = array.array('b')
+         for i in range(-1,ind):
+             if i == -1 or i==ind-1:
+                 v = 1
+             else:
+                 v = l[i]^l[i+1]
+             t.append(v)
+     return ret
+
+from PIL import Image
+class SubPix:
+    def __init__(self,mode,size,color = 0,s=2):
+        self.s = s
+        try:
+            self.image = Image.new(mode,tuple(map(lambda x: int(x*s),size)),color)
+        except:
+            print(tuple(map(lambda x: x*s,size)))
+    def set_subpix(self,cord,v):
+        s=self.s
+        x,y = map(lambda c: int(c*s),cord)
+        args = tuple(map(lambda n: ((n%s+x,n//s+y),v),range(s**2)))
+        for i in args:
+            self.image.putpixel(*i)
+cpdef make_triangle1(n,b_w = False,outdir = r'x:\users\Ralphie\Documents'):
+    n = 2**n
+    if b_w:
+        p = (255,255,255)
+        np = (0,0,0)
+    else:
+        np = (255,255,255)
+        p = (0,0,0)
+    s = serp(n)
+    c = 0
+    off = (n-1)/2
+    triangle = SubPix('RGB',(n,n),np)
+    for row in s:
+        for x in range(len(row)):
+            xy = (x+off,c)
+            if row[x]:
+                v = p
+            else:
+                v = np
+        off -= .5
+        c += 1
+    triangle.image.save(r'{}\serp.png'.format(outdir))

cython/setup.bat

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+python3 setup.py build_ext

cython/setup.py

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+from distutils.core import setup
+from Cython.Build import cythonize
+
+setup(
+  name = 'Serpinsky',
+  ext_modules = cythonize("serp.pyx"),
+)

cython/test.bat

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+python3 -m cython -a serp.pyx
+serp.html

serp.py

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+from math import log
+from PIL import Image
+from serp import serp
+class SubPix:
+    def __init__(self,mode,size,color = 0,s=2):
+        self.s = s
+        try:
+            
+            self.image = Image.new(mode,tuple(map(lambda x: int(x*s),size)),color)
+        except:
+            print(tuple(map(lambda x: x*s,size)))
+    def set_subpix(self,cord,v):
+        s=self.s
+        x,y = map(lambda c: int(c*s),cord)
+        args = tuple(map(lambda n: ((n%s+x,n//s+y),v),range(s**2)))
+        for i in args:
+            self.image.putpixel(*i)
+            
+def make_triangle(n,b_w = False,outdir = r'x:\Users\Ralphie\Documents'):
+    n = 2**n
+    if b_w:
+        p = (255,255,255)
+        np = (0,0,0)
+    else:
+        np = (255,255,255)
+        p = (0,0,0)
+    
+
+    s = serp(n)
+    c = 0
+    off = n-1
+    
+    triangle = SubPix('RGB',(2*n-1,n),np)
+    for row in s:
+        for x in range(len(row)):
+            xy = (c,2*(x)+off)
+            if row[x]:
+                v = p
+            else:
+                v = np
+            triangle.set_subpix(xy, v)
+        off -= 1
+        c += 1
+
+    triangle.image.save(r'{}\serp.png'.format(outdir))
+##make_triangle(11)
+def make_triangle1(n,b_w = False,outdir = r'x:\users\Ralphie\Documents'):
+    n = 2**n
+    if b_w:
+        p = (255,255,255)
+        np = (0,0,0)
+    else:
+        np = (255,255,255)
+        p = (0,0,0)
+    s = serp(n)
+    c = 0
+    off = (n-1)/2
+    triangle = SubPix('RGB',(n,n),np)
+    for row in s:
+        for x in range(len(row)):
+            xy = (x+off,c)
+            if row[x]:
+                v = p
+            else:
+                v = np
+            try:
+                
+                triangle.set_subpix(xy,v)
+            except:
+                print(xy,triangle.image.size)
+        off -= .5
+        c += 1
+            
+    triangle.image.save(r'{}\serp.png'.format(outdir))
+make_triangle1(6)

setup.bat

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+python3 -m cython -a serp.py