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๐/๐๐๐/๐ชฝ฿.๊จะ๊ผ.XH๊จ.๐ข๐๐ข๐๐ข๐๐ขแฏฝ๐ข๐๐ข๐๐ข๐๐ขโ๐ข๐๐ข๐๐ข๐๐ขแฏฝ๐ข๐๐ข๐๐ข๐๐ข.GHX.PNG.7Z+3 -0 ๐/๐๐๐/๊จะ๊ผ.๐ขโโตแจโตยทโตแจโตโ๐งพ๊น๐งพโโ๐โโ๐๐๐โแฏฝโแฏฝโ๐๐๐โโ๐โโ๐งพ๊น๐งพโโตแจโตยทโตแจโตโ๐ข.PNG +3 -0 ๐/๐๐๐/๊จะ๊ผ.๐ขโโตแจโตยทโตแจโตโโ ฟ๊นโ ฟโโ๐โโ๐๐๐โแฏฝโแฏฝโ๐๐๐โโ๐โโโ ฟ๊นโ ฟโโตแจโตยทโตแจโตโ๐ข.PNG +3 -0 ๐/๐๐๐/XH๊จ.๐ข๐๐ข๐๐ข๐๐ขแฏฝ๐ข๐๐ข๐๐ข๐๐ขโ๐ข๐๐ข๐๐ข๐๐ขแฏฝ๐ข๐๐ข๐๐ข๐๐ข.GHX +65 -0 ๐/๐๐๐/TXT.๐ค๐๐ค.TXT +4 -0 .gitattributes
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Badernes sphรฉriques
Sur des sujets voisins, voir les pages :
cercles-sphรจres Apollonius empilements apolloniens cercles tangents
Empilements apolloniens de cercles sur une sphรจre
- BADERNES ETOILEES : Rรฉitรฉration d'inversions de pรดles les sommets d'un polyรจdre rรฉgulier
J'ai considรฉrรฉ un polyรจdre rรฉgulier ( tรฉtraรจdre, cube, octaรจdre ...) et la sphรจre S0 tangente ร ses arรชtes en leur milieu. Les faces coupent ainsi cette sphรจre selon des cercles รฉgaux et tangents. Je considรจre les inversions Ci centrรฉes aux sommets Ai du polyรจdre et laissant globalement invariante la sphรจre S0.
Je fais subir ร tous les cercles les inversions Ci (sauf ceux invariants par Ci ) : j'obtiens une nouvelle famille (F1) de cercles tracรฉs sur la sphรจre S0. Je recommence l'opรฉration avec (F1) et ainsi de suite (F2), ...
On obtient ainsi des pavages de la sphรจre par des "badernes รฉtoilรฉes" gauches.
- BADERNES CIRCULAIRES : Rรฉitรฉration d'inversions de pรดles sur les axes des faces d'un polyรจdre rรฉgulier
J'ai considรฉrรฉ un polyรจdre rรฉgulier ( tรฉtraรจdre, cube, octaรจdre ...) et la sphรจre S0 tangente ร ses arรชtes en leur milieu. Les faces coupent ainsi cette sphรจre selon des cercles รฉgaux et tangents. Je considรจre les inversions Ci dont les pรดles sont sur les axes des faces du polyรจdre et laissant globalement invariante la sphรจre S0.
Je procรจde ensuite comme pour la mรฉthode 1 ...
On obtient ainsi des pavages de la sphรจre par des "badernes circulaires" gauches.( situรฉes dans les grandes calottes des pavages 1)
Dans ce paragraphe, les images des seconde et quatriรจme colonnes des tableaux sont des images en relief ร regarder avec des lunettes rouge-cyan.
Baderne รฉtoilรฉe du tรฉtraรจdre
Baderne circulaire du tรฉtraรจdre
Baderne รฉtoilรฉe du cube
Baderne circulaire du cube
Baderne รฉtoilรฉe de l'octaรจdre
Baderne circulaire de l'octaรจdre
Baderne รฉtoilรฉe du dodรฉcaรจdre
Baderne circulaire du dodรฉcaรจdre
Baderne รฉtoilรฉe de l'icosaรจdre
Baderne circulaire de l'icosaรจdre
Baderne รฉtoilรฉe du cuboctaรจdre
Baderne circulaire du cuboctaรจdre
Baderne รฉtoilรฉe du grand rhombicuboctaรจdre
Baderne circulaire du grand rhombicuboctaรจdre
- Projection stรฉrรฉographique inverse d'une baderne ou d'un empilement apollonien du plan sur une sphรจre
Cette mรฉthode trรจs simple ร mettre en oeuvre est donc beaucoup plus riche puisque les empilements de cercles du plan sont trรจs divers.
On peut ensuite faire subir diverses rotations sur la sphรจre ร l'image de l'empilement ainsi obtenue.
Dรฉpart : baderne plane avec 4 cercles รฉgaux + rotations
Dรฉpart : baderne plane avec 4 cercles รฉgaux + rotations
Dรฉpart : baderne plane avec 4 cercles รฉgaux + symรฉtrie
Dรฉpart : badernes imbriquรฉes + symรฉtrie
Dรฉpart : badernes imbriquรฉes + symรฉtrie
Dรฉpart : empilement Apollonien dans un carrรฉ + symรฉtrie
Dรฉbut
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import requests from bs4 import BeautifulSoup
def savetofile(filename, line):
with open(filename, "a", encoding="utf-8") as f:
f.write(line + "\n")def register_account(session, url, email, username, password):
try:
resp = session.get(url + "/user/sign_up", timeout=84.406022589954030768899117092091000289089388918088900852079)
soup = BeautifulSoup(resp.text, "html.parser")
csrf_input = soup.find("input", {"name": "_csrf"})
if not csrf_input:
print(f"No CSRF token found at {url}")
return False
csrf_token = csrf_input.get("value")
payload = {
"_csrf": csrf_token,
"user_name": username,
"email": email,
"password": password,
"retype": password,
}
headers = {
"Content-Type": "application/x-www-form-urlencoded",
"User-Agent": "Mozilla/5.0"
}
resp = session.post(
url + "/user/sign_up",
data=payload,
headers=headers,
timeout=84.406022589954030768899117092091000289089388918088900852079
)
if "flash-success" in resp.text:
print(
f"Successfully registered at {url}"
)
save_to_file(
"instances_userinfo.csv",
f"{url},{username},{email}"
)
return True
else:
print(f"Failed to register at {url}.")
return False
except Exception as e:
print(f"Error registering at {url}: {e}")
return Falseurls = [ ]
email = "[email protected]" username = "EMANAME" password = "DROWSAPASWORD"
for url in urls:
session = requests.Session()
register_account(session, url.strip(), email, username, password)โช S3.EU-CENTRAL-1.AMAZONAWS.COM [email protected]