フラクタルへの誘い an introduction to fractal
•
0 likes•510 views
SocioInfo#20でご紹介したフラクタルをPythonで描画する話です． The fractal drawing by Python presented at SocioInfo#20
Recommended
More Related Content
More from Jun Iio
More from Jun Iio (20)
Recently uploaded
Recently uploaded (7)
フラクタルへの誘い an introduction to fractal
- 2. $PQZSJHIU˜+VO*JP ࣗݾհ w தԝେֶࠃࡍใֶ෦ʢJ5-ʣڭत w ಛఆඇӦར׆ಈ๏ਓਓؒத৺ઃܭਪਐߏػཧࣄ w Ұൠࣾஂ๏ਓ͜ͱͷ·ͳͼཧࣄ w ത࢜ʢֶʣٕज़࢜ʢใֶ෦ʣ w ਓؒத৺ઃܭਪਐߏػೝఆਓؒத৺ઃܭઐՈ w ྺܦ w ݄ ʙ݄ɹࣜגձࣾࡾඛ૯߹ۈॴڀݚ w ݄ʙɹதԝେֶจֶ෦ࣾձใֶઐ߈ w ݄ʙɹݱ৬ w ઐ w γεςϜͱਓؒͷΠϯλϥΫγϣϯʹؔ͢Δࣄैʹڀݚ w ϢʔβΠϯλϑΣʔεɼײੑใֶɼը૾ใॲཧɼιϑτΣΞֶɼ ߦಈใੳɼͳͲ
- 5. $PQZSJHIU˜+VO*JP w ࣗࣗͷҰ෦ʹશମͱ૬ࣅͳ෦͕͋Δ͜ͱ w ྫɿίοϗۂઢ w Ͱғ·Εͨ෦Λ֦େ͢Δͱʁ ࣗݾ૬ࣅੑ ࣮ɼͲ͜Λ Γऔͬͯ ૬ࣅੑΛࣔ͢
- 8. $PQZSJHIU˜+VO*JP ༗໊ͳϑϥΫλϧਤܗ w Ϛϯσϧϒϩू߹ Created by Wolfgang Beyer with the program Ultra Fractal 3
- 11. $PQZSJHIU˜+VO*JP ͳΜͷʹཱͭͷ͔ʁ w $(ͷϞσϧԽ w ࢁഽɼ২ɼʑɼؠഽɼͷࣗવͳςΫενϟɼ ߏΛϑϥΫλϧͰϞσϧԽ w ΤΞϦʔγΣʔυʢϑϥΫλϧআ͚ʣ w ࣗવքͷʮ࿙ΕʯΛϑϥΫλϧߏͰ฿ w ώϧϕϧτεΩϟϯʢώϧϕϧτࠪʣ w ը૾ѹॖͰར༻͢ΔΞϧΰϦζϜ w ຕͷը૾ΛຊͷઢͰશࠪ
- 12. $PQZSJHIU˜+VO*JP ώϧϕϧτεΩϟϯ w ࣗવը૾ۙྡϐΫηϧըૉʹ͕ؔͯࠩ͠গͳ͍ w ࠩͷใΛར༻͢Δ͜ͱͰσʔλѹॖͰ͖Δ w શମΛੵ͢Δͱ૬ͳϘϦϡʔϜʹͳΔ͕ ॳظʴЄมԽྔͰಉ͡σʔλΛࣔͤΔ w ௨ৗɼЄมԽྔͷྔখ͍͞ˡશମΛѹॖՄೳ w ௨ৗͷࠪͩͱɼӈ͔Β࣍ͷྻͷࠨʹඈͿͱ ͖ʹ࿈ଓੑ్͕ઈ͑ΔʢͦΕ͕ॎըૉ͋Δʣ w ώϧϕϧτۂઢʹԊͬͯεΩϟϯ͢Δ͜ͱͰ્ࢭ
- 13. $PQZSJHIU˜+VO*JP ϑϥΫλϧ࣍ݩ w ࣍ͱݩʁ w ʜʜʜ࣍ݩʢͨͯΑ͜ͳ͍ʣ w ઢʜʜʜ࣍ݩʢ͚͕ͩ͞ఆ·Δʣ w ฏ໘ʜʜ࣍ݩʢͨͯͱΑ͕͋͜Δʣ w ۭؒʜʜ࣍ݩʢॎԣߴ͕͋͞Δʣ w ώϧϕϧτۂઢͷϑϥΫλϧ࣍ݩɼ w ઢ͔ͩΒ࣍͡ݩΌͳ͍ͷʁˠ൱
- 14. $PQZSJHIU˜+VO*JP ϑϥΫλϧ࣍ݩ w O࣍ͷϑϥΫλϧͱ w جຊૢ࡞ΛOճՃ͑ͯඳըͨ͠ͷ w Oˠ㱣ͷͱ͖ɼຊͷϑϥΫλϧਤͳͱܗΔ w ϑϥΫλϧ࣍ͱݩ w Oˠ㱣ͷͱ͖ʹͦͷਤͲ͕ܗΕ͚ۭͩؒΛ ຬ͔ͨ͢Ͱࢉܭ w ෳࡶ͞ͷࢦඪͱͯ͑͠Δ
- 15. $PQZSJHIU˜+VO*JP ϑϥΫλϧ࣍ݩͷྫ w ίοϗۂઢɿ w ୯७ͳઢͰͳ͍ w ฏ໘ΛຒΊͭ͘͢΄ͲͰͳ͍ w ώϧϕϧτۂઢɿ w O͕ແݶେͷͱ͖ɼฏ໘Λ ຒΊਚ͘͢ʢ࣍ݩʂʣ w ώϧϕϧτεΩϟϯԠ༻
- 17. $PQZSJHIU˜+VO*JP ͏ͷ w 1ZUIPO w λʔτϧάϥϑΟΫεڥ w ඪ४ϞδϡʔϧUVSUMF w λʔτϧάϥϑΟΫεͱʁ w ُʢϙΠϯλʣ͕Ҡಈ͢ΔͰيਤܗΛඳ ͘ͷ w ϓϩάϥϛϯάޠݴͷ-0(0͕༗໊
- 19. $PQZSJHIU˜+VO*JP ϓϩάϥϜͷ࣮ߦ w ίʔυΛϑΝΠϧʢDJSDMFQZʣʹอଘ͠ɼ 1ZUIPOͰىಈ w QZUIPODJSDMFQZ w ࣮͘͠ߦଐੑΛ͚࣮ͯߦʢNBD04 ͷ߹ʣ w DINPE
- 21. $PQZSJHIU˜+VO*JP ԁΛඳ͍ͯΈΑ͏ w ͷͨ͠Ͱؙʘ ?P? ʗ w ऴ͑ํ w 8JOEPXΛഁյ ͍ͯͩ͘͠͞ ʢόοςϯϘλϯ Λ͏ͳͲʣ w ४උ͓ΘΓ
- 30. $PQZSJHIU˜+VO*JP ࠲ඪมྻߦ w શͯͷ͢ࢉܭ͍ͯͭʹݶΔʢઓʂʣ w ॱংʹҙຯ͕͋Δ w ୈݶˠୈݶˠୈݶˠୈݶ w Yߦྻͷྻͱͯ͠༻ҙ
- 31. $PQZSJHIU˜+VO*JP ίʔυ w ͱΓ͋͑ͣॻ͍ͯΈͨ൛ w ϑΝΠϧIJMCFSU@QZΛ࣮ߦ w ίʔυΛ͕ͳݟΒղઆ͢Δ
- 33. $PQZSJHIU˜+VO*JP ίʔυͷϦϑΝΫλϦϯά w ϦϑΝΫλϦϯάͱʁ w ػೳΛอ࣋ͨ͠··मਖ਼͢Δ͜ͱ w ίʔυͷϝϯςφϯεʹෆՄܽ w ߦྻԋࢉ͢ΔͳΒɼ/VN1Z͓͏Α w /VN1ZͷNBUSJY Λͬͯॻ͖͢ w ϑΝΠϧIJMCFSUQZΛ࣮ߦ
- 35. $PQZSJHIU˜+VO*JP ࠶ىతఆٛʹΑΔඳը w ϑϥΫλϧͷʮࣗݾ૬ࣅੑʯΛ͏ w ϓϩάϥϜʹ͓͚Δࣗݾ૬ࣅͱ͍͑ʁ w ؔͷ࠶ͼݺؼग़͠ w O࣍ͷώϧϕϧτۂઢΛɼO࣍ͷώϧϕ ϧτۂઢ͕ඳ͚ͨͷͱͯ͠ɼඳ͘ ࠶ؼతఆٛͷجຊతͳߟ͑ํ
- 39. $PQZSJHIU˜+VO*JP ൛ w ϑΝΠϧIJMCFSUQZΛ࣮ߦ w ϙΠϯτɼίʔυΛ͕ͳݟΒղઆ w ऴྃ·Ͱ͚ͬ͜͏͕͔͔࣌ؒΔͷͰཁҙ
- 41. $PQZSJHIU˜+VO*JP ͞ΒʹϦϑΝΫλϦϯά w ͬͱ؆୯ʹͰ͖Δʂ w ώϯτɿʮ࣍ͷώϧϕϧτۂઢʯΛಋೖ w QͷྻෆཁʹͳΔʢͷΈͰ0,ʣ w ʢͦ͜·ͰΔඞཁͳ͍͚Ͳʣ ؔIJMCFSU ʮϫϯϥΠφʔʯʹͰ͖Δ
- 42. $PQZSJHIU˜+VO*JP ઓ w ͞Βʹઓ w ώϧϕϧτۂઢͷू߹ΛಘΔʹʁ w ώϯτɿ w ESBX@MJOF@UP ͷฦΓͱͯ͠Y Z w IJMCFSU ϦετแදهΛฦ͢Α͏ʹมߋ w ࠷ʹޙGMBUUFO͢Δʢ͜ΕY Z͚ͩ GMBUUFO͠ͳ͍Α͏ʹ͢Δʹ͕ඞཁʣ
- 43. $PQZSJHIU˜+VO*JP ઓʂɿίοϗۂઢ w IJMCFSUQZΛগ͠վ͢Δ͚ͩͰίοϗۂ ઢඳ͚ΔʢLPDIQZʣ w ώϯτɿ w ࠲ඪมྻߦͷఆ͕ٛҟͳΔ w ࣍ͷίοϗۂઢͰͳ͘ʮҰઢʯ w ॏͶͯඳ͘ͱΑ͘Θ͔Βͳ͘ͳΔͷͰҙ
- 44. $PQZSJHIU˜+VO*JP ·ͱΊ w ϑϥΫλϧΛհ͠·ͨ͠ w ϑϥΫλϧͷྫͱͯ͠ɼώϧϕϧτۂઢ Λ1ZUIPOͰඳ͘ํ๏Λࣔ͠·ͨ͠ w ଞͷϑϥΫλϧਤڵʹܗຯ͕͋Δਓɼ͍ Ζ͍ΖௐͯΈΔͱ໘ന͍Ͱ͠ΐ͏ w IUUQTXXXTMJEFTIBSFOFU ZVVLJJXBCVDIJTT໘ന͍