3Dプリンタで作る階差機関 / Build Difference Engine by 3D Printer

by mackee

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3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-05 builderscon 2017

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͢Έ·ͤΜ

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3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-04 builderscon 2017

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3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-04 builderscon 2017

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macopy a.k.a @mackee_w

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macopy a.k.a @mackee_w ࢓ࣄ: ໘ന๏ਓΧϠοΫ ιʔγϟϧήʔϜࣄۀ෦ ɹɹ αʔόαΠυϓϩάϥϚ ɹɹ Perl5, Go, etc… ࠷ۙ: εϓϥτΡʔϯ2, 3DϓϦϯλ OSS: kuiperbelt(WebSocketΛ͍͍ײ͡ʹ͞͹ ͍ͯ͘ΕΔ܅)

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͜ͷτʔΫͷओ୊ ↓ ֊ࠩػؔ ͱ 3DϓϦϯλ

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Agenda 1. ֊ࠩػؔͱ͸ 1. ਺ֶతͳݪཧ 2. ػցతͳݪཧ 3. σϞ 2. 3DϓϦϯλʹΑΔ ֊ࠩػؔͷ੍࡞ 1. ઃܭ 2. ҹ࡮ 3. ·ͱΊ

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0. ಈػ

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ཪςʔϚᶃ ࢲͱ3DϓϦϯλ2017

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3DϓϦϯλͱͷग़ձ͍ • YAPC::Asia 2015ʹͯυϩʔϯͷ࿩Λ͢Δ • ύʔπ࡞Δͷʹ࢖͑Δ͔ͬͳͱࢥͬͯ3Dϓ ϦϯλͷΩοτΛങ͏ • 1೥์ஔ -> YAP(achimon)C 2016Ͱ3DϓϦ ϯλΛ͏·͘ಈ͔͢ͷʹۤ࿑ͨ͠࿩Λ͢Δ

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ձ৔ʹ3DϓϦϯλΛ࣋ͪࠐΜͰ࣮ԋ

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3DϓϦϯλൃలฤ • Y8 2017࠙਌ձʹͯ3DϓϦϯλ͋Ε͔Βͱ͍͏ ൃදΛߦ͏ • ͍Ζ͍Ζ஌ݟ͕ཷ·͖ͬͯͨͷͰ҆ఆ͔ͨ͠Β σϡΞϧϊζϧʹ௅ઓͯ͠ഁ໓ͨ͠Αͱ͍͏࿩ • ࠷ޙʹ͜ͷτʔΫΛԠื͢ΔύϑΥʔϚϯεΛ ߦ͏

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σϡΞϧ͸͏·͍͔ͣ͘ቕΊ߹Θͤ

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͜͜ͰࢥͬͨΜͰ͢

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ࠓ·Ͱ3DϓϦϯ λ࡞Δ͹͔ΓͰ ࢖ͬͯͳ͍ͷͰ ͸ʁʁʁʁʁ

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ଞॴͷ͝ՈఉͰ͸࢖ͬͯসإ͕ੜ·Ε͍ͯΔ https://srdk.rakuten.jp/entry/2017/06/29/110000

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Ұํ๻͸ϊζϧΛ٧·ΒͤͨΓͯ͠ ҰਓͰҰتҰ༕͢Δ͚ͩ

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͜ͷ··Ͱ͍͔Μʂ Կ͔Λ࡞Βͳ͚Ε͹

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ձࣾSlackͷ#club-kosaku(޻࡞νϟϯωϧ͚ͩΕͲ ΄΅๻͕ಠΓݴΛݴ͏νϟϯωϧ)ͰͷҰນ

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̳͂́ʂʂʂʂʂ

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1. ֊ࠩػؔͱ͸

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֊ࠩػؔʢ͔͍͖͔͞Μɺ difference engineʣ·ͨ͸ࠩ෼ ػؔʢ͞ͿΜ͖͔Μʣ͸ɺྺ্࢙ ͷػցࣜ༻్ݻఆܭࢉػͰɺଟ߲ ࣜͷ਺දΛ࡞੒͢ΔΑ͏ઃܭ͞Ε ͨɻର਺΋ࡾ֯ؔ਺΋ଟ߲ࣜͰۙ ࣅͰ͖ΔͨΊɺͦͷΑ͏ͳϚγϯ ͸͔ͳΓͷ൚༻ੑ͕͋ͬͨɻ

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ػցࣜݻఆ༻్ܭࢉػ

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ͬ͘͟Γݴ͏ͱ ࣃंͷ͓Խ͚

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ϩϯυϯͷത෺ؗʹ͋Δ֊ࠩػؔ https://commons.wikimedia.org/wiki/File:Babbage_Difference_Engine.jpg

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ϩϯυϯͷത෺ؗʹ͋Δ֊ࠩػؔ https://commons.wikimedia.org/wiki/File:LondonScienceMuseumsReplicaDifferenceEngine.jpg

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֊ࠩػؔΛ3ߦͰ •ࣃंΛ͍ͬͺ͍࢖ͬͯ •଍͠ࢉ͚ͩΛ࢖ͬͯ •਺දΛ࡞Δ

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1.1 ਺ֶతͳݪཧ

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y=x2Ͱ x=1~4ͷͱ͖ͷ஋Λ ܭࢉ͠·͠ΐ͏

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දͰ͢ ZY Y Z

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yn - yn-1 Λܭࢉ͠·͢ ZY Y Z yn - yn-1

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yn - yn-1 Λܭࢉ͠·͢ ZY Y Z yn - yn-1 ͜ΕΛΔyn (ୈ1֊ࠩ਺ྻ) ͱݴ͍·͢

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Δyn - Δyn-1 Λܭࢉ͠·͢ ZY Y Z Δyn Δyn - Δyn-1

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Δyn - Δyn-1 Λܭࢉ͠·͢ ZY Y Z Δyn Δyn - Δyn-1 ͜ΕΛΔ2yn (ୈ2֊ࠩ਺ྻ) ͱݴ͍·ɾɾɾ

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ͪΐͬͱ଴ ͯʂʂʂʂʂ

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શ෦2΍ͳ͍͔ʂʂʂ ZY Y Z Δyn Δyn - Δyn-1

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ٯʹߟ͑Δͱͭ·Γ • Δ2yn ʹ͋ͨΔʮԿ͔ʯ͸Ұఆͷ஋Λอ͍࣋ͯ͠Δ • ͦͷʮԿ͔ʯ͸Δyn ʹ͋ͨΔԿ͔ʹεςοϓ͝ͱʹՃࢉ ͢ΔɻՃࢉ͞ΕͨʮԿ͔ʯ͸εςοϓ͝ͱʹ஋ΛϦηο τ͠ͳ͍ • yn ʹ͋ͨΔʮԿ͔ʯʹΔyn ʹ͋ͨΔʮԿ͔ʯ͕࣋ͭ஋Λ εςοϓ͝ͱʹՃࢉ͢Δɻyn ʹ͋ͨΔԿ͔͸ಉ༷ʹϦ ηοτ͞Εͳ͍

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ͨͩ͠ • n࣍ͷଟ߲ࣜ͸ୈn֊͔ࠩΒͷܭࢉ͕ඞཁ • ex. ࣍਺3ͷଟ߲ࣜʹ͸ୈ3֊͕ࠩඞཁ • ଟ߲ࣜҎ֎ͷؔ਺͸ܭࢉͰ͖ͳ͍ • ͨͩ͠ແݶඍ෼Մೳؔ਺(ࡾ֯ؔ਺, ର਺ؔ਺ͳͲ) ͸ςΠϥʔల։Λ༻͍ͯଟ߲ࣜʹ͢Δ͜ͱͰ೚ҙ ͷਫ਼౓ͷ਺ྻΛٻΊΔ͜ͱ͕ग़དྷΔ

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1.2 ػցతͳݪཧ

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ઌఔͷʮԿ͔ʯͱ͸ࣃंͰ͢

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໊લͰ͢

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ॳظঢ়ଶͰ͢

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ΧϥϜ3͕ճͬͯΧϥϜ2ʹՃࢉ͞Ε·͢

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ΧϥϜ2ͱΧϥϜ3ͷؒͷࣃं্͕͕Γ·͢ ΧϥϜ2ͱΧϥϜ1ͷؒͷࣃं͕Լ͕Γ·͢

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ΧϥϜ2ͷ஋͕ΧϥϜ1ʹՃࢉ͞Ε·͢

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ͱಉ࣌ʹΧϥϜ3͕΋ͱͷ஋ʹ໭Γ·͢

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ΧϥϜ2ͷ஋Λ΋ͱʹ໭͠·͢

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͜ΕͰx=2ͷέʔε͕ܭࢉͰ͖·ͨ͠

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࠷ॳʹ໭ͬͯ܁Γฦ͠·͢

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࠷ॳʹ໭ͬͯ܁Γฦ͠·͢

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࠷ॳʹ໭ͬͯ܁Γฦ͠·͢

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Կނ஋Λ͍֮͑ͯΒΕΔͷ͔ʁ

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ࣃंͷதʹ͜͏͍͏΍͕ͭೖ͍ͬͯͯ

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·ͣӈͷ΍͕ͭճͬͯ0Λਖ਼໘ʹ͠·͢

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ΧϥϜଆͷճ͢΍ͭΛ ͻ͔͔ͬΒͳ͍Α͏ʹ্͛ͯ΋ͱʹ໭͠·͢

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ՃࢉϗΠʔϧͷߴ͞Λ্͛ͯ ࣍ͷΧϥϜ͕ճΒͳ͍Α͏ʹ͠·͢

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ՃࢉଆϗΠʔϧΛճͯ͠ ΧϥϜଆΛݩͷҐஔʹ໭͠·͢

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ݩͷঢ়ଶʹ໭͠·͢

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ྫ͸Ճࢉ͢Δ஋͕ఆ਺Ͱ͕͢ લͷΧϥϜ͔ΒՃࢉ͞Εͯ΋ಈ ࡞͠·͢

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Q: ͜ΕͩͱҰܻ͔͠ग़དྷͳ͘ ͳ͍ʁʁʁ

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A: ͦɾɾɾͦΕ͸ɾɾɾ

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͜ͷग़ͬுΓ

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্ܻΓ • ্ܻΓ(9 -> 0)ʹ͢Δͱ͖ʹ͜ͷग़ͬுΓΛ ࢖ͬͯϨόʔΛԡ͢ػߏ͕͋Δ • Ϩόʔ͸͹ͶͰԡ͞Εͨঢ়ଶͰอ࣋͞Εͯ·ͨ ผͷϨόʔͰԡ͞Εͨ࣌ʹ্ͷܻΛ1͢͢ΊΔ • ࣃंͱ͔Ͱಉظతʹ΍Βͳ͍ͷ͸Ճࢉதͱ͔ ͩͱڰ͏ͷͰΩϟϦʔ఻೻ϑΣʔζ͕͋Δ

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Q: ը૾͕ͳ͍͚ΕͲʁ

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A: ͸͍ɾɾɾະ࣮૷Ͱ ͢ɻɻɻ

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͋ͱԡ্͛ͱ͔ϨόʔΛճ͢ ͱ͜Ζͱ͔΋ະ࣮૷Ͱ͢

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DEMO

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͢Έ·ͤΜ

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Chapter 2ʹଓ͘

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2. 3DϓϦϯλʹΑΔ ֊ࠩػؔͷ੡࡞

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ઃܭํ਑1 • ࢖͍·ΘͤΔ΋ͷ͸࢖͏ • thingiverseʹϞσϧ͕͋Ε͹ͦΕΛ࢖͏ • શ෦3DϓϦϯλͰ΍Βͳ͍ • ࢢൢͷϝλϧύʔπ͸ਫ਼౓͕ඇৗʹྑ͍

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ઃܭํ਑2 • νϟʔϧζɾόϕοδࢯͷઃܭΛ׬શ౿ऻ͠ ͳ͍ • ࢓૊Έ(ࣃंʹΑΔՃࢉ)͕͋ͬͯΕ͹OK

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ઌߦࣄྫ(࢈ۀֵ໋ظ) • νϟʔϧζɾόϕοδࢯʹΑΔ੡࡞ • 1߸ػ(1830೥ʙ), 2߸ػ(ઃܭͷΈ, 1847 ೥ʙ) • γϡ΢πࢯ, ϰΣʔϕϦࢯʹΑΔ੡࡞(1853೥ ͳͲ)

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ઌߦࣄྫ(ݱ୅) • ϩϯυϯɾαΠΤϯεϛϡʔδΞϜʹΑΔ੡࡞ • ઃܭ͸νϟʔϧζɾόϕοδࢯʹΑΔ΋ͷΛ౿ऻ • 1989೥͔Β੡࡞͞Ε1991೥ʹ׬੒ • 2000೥ʹόϕοδࢯઃܭͷϓϦϯλʔ΋׬੒ • όϕοδࢯ͸׬੒ͤ͞Δ͜ͱ͕Ͱ͖ͳ͔ͬͨͨΊɺ ϨϓϦΧͰ͸ͳ͍

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ੑೳൺֱ ୈ֊ࠩػؔ ୈ֊ࠩػؔ ࠓճ੍࡞ͷ֊ ࠩػؔ ֊਺ ܻ਺

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Կނόϕοδࢯ͸ୈ2֊ࠩػ ؔΛ׬੒ͤ͞Δ͜ͱ͕Ͱ͖ͳ ͔ͬͨͷ͔ʁ

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͍Ζ͍Ζઆ • ਫ਼౓͕଍Γͳ͍ ޻࡞ػց΋ݱ୅ͱ͸ܻҧ͍ʹ গͳ͍͠ػցࣗମͷਫ਼౓΋ग़͍ͯͳ͍ • ৬ਓͱͷ֬ࣥ • ࢿۚෆ଍

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͔͠͠ࠓͷੈͷதͳΒ ݸਓͰ΋੡࡞Ͱ͖Δ͔΋ʁ

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ͦ͏ɺ3DϓϦϯλ͕͋Ε͹Ͷ https://commons.wikimedia.org/wiki/File:3D_printer2.jpg

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͔ͭͯਤ໘௨ΓͷύʔπΛ࡞Δ ͷ͸೉͔ͬͨ͠ • جຊతʹ͸ۚଐՃ޻ • ટ൫, Ϙʔϧ൫, ༹઀, etc… ͲΕ΋ٕज़ͱ஌ࣝͱઐ ༻ͷಓ۩͕ඞཁ • ࣗ༝ܗঢ়ͷϓϥ͸Ճ޻͠΍͔͕ͬͨ͢ɺ޻৔Ͱͷେ ྔੜ࢈޲͖ɻݸਓͰ͸ϨδϯΩϟετͱݴ͏΋ͷ͕ ग़͖ͯͯɺ͞ΒʹόΩϡʔϜ੒ܕ͕ग़͖ͯͯɺ͞Β ʹ3DϓϦϯλ͕ग़͖ͯͨ

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3DϓϦϯλͷ͍͍ͱ͜Ζ ↓ ਤ໘௨Γͷ΋ͷ͕ ଴ͬͯΕ͹ग़ͯ͘Δ

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ຊ౰ʹਤ໘௨Γͷ͕ग़ͯ͘Δ※ • ※ͨͩ͠3DϓϦϯλͷੑೳ͕ྑ͚Ε͹ • ੑೳ -> Ϟʔλʔਫ਼౓, ϊζϧܘͳͲ, ߏ଄ͷ ਫ਼౓ʹ΋ΑΔ • ͔͠͠զ͕Ոͷ3DϓϦϯλ͸֊ࠩػؔΛ࡞Δ ʹ͸͍͍ͩͨ໰୊͕ͳ͍Ά͍

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thingiverseͰ Difference EngineΛݕࡧ

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No content

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͜ΕΛ࡮ͬͯΈͨ

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࡮ͬͯؾ͍ͮͨ

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͋ͬ

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ଞʹ࡞͍ͬͯΔਓݟͳ͍͠ CAD͠ΐɻɻɻ

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લ͸OpenSCAD࢖͍ͬͯ·͕ͨ͠

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Fusion360࢖ͬͯ·͢

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Fusion360 • AutodeskͷCAD • AutoCADͱҧͬͯΫϥ΢υඞਢ • झຯͱ͔ελʔτΞοϓͩͱແྉͰ࢖͑Δ • ී௨ͷ3D CAD(ී௨ͷ࢖ͬͨ͜ͱແ͍

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ͱ͍͏Θ͚Ͱશ෦εΫϥονͰઃܭ͠·ͨ͠

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3DϓϦϯλͱ ϝλϧύʔπͷ࢖͍෼͚ • 3DϓϦϯλͷۤखͳ͜ͱ • Z࣠ํ޲ʹ௕͍ύʔπ͸ϒϨΔ • ಉ͡छྨͷύʔπΛ͍ͬͺ͍࡮Δͷ͸͕࣌ؒ ͔͔Δ • ຎࡲ͕͔͔Δύʔπ͸ۤख

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࢈ۀֵ໋ͷͱ͖ʹͳͯ͘ࠓ͋Δ΋ͷ ϕΞϦϯά

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࢈ۀֵ໋ͷ࣌ʹ͚͋ͬͨΕͲਫ਼౓͕ྑ͘ͳͬͨ΋ͷ γϟϑτ

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ͪͳΈʹ࢈ۀֵ໋ͷͱ͖͸ϦϯΫػߏ͹͔ͬΓ

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ϦϯΫ͸Α͘Θ͔Μͳ͔ͬͨ ͷͰ௚ಈΧϜػߏͰ৐Γ੾Δ

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௚ಈΧϜΛ࡞Δʹ͸ • ΧϜʹ௥ैͯ͠׈Β͔ʹ্Լ͢ΔͨΊʹϑΥ ϩϫʹϕΞϦϯά • ͳΊΒ͔ʹ௚ಈͤ͞ΔͨΊʹγϟϑτͱϦχ Ξϒογϡ • Ҏ্ϝλϧύʔπ͕ඞਢ

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େྔʹϕΞϦϯάΛߪೖ

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͍͟ҹ࡮

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ҹ࡮·Ͱͷաఔ 1. CADͰܗঢ়σʔλΛ࡞Δ -> STL • Fusion360Ͱ࡞੒ 2. STLΛ3DϓϦϯλ͕ಡΊΔ࠲ඪσʔλʹม׵͢ Δ -> gcode • Simplify3DͰม׵

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STLΛಡΜͰ

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gcodeσʔλʹม׵

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༥ղੵ૚ܕ3DϓϦϯλͷͭΒ͍ ͱ͜Ζ • ු͍͍ͯΔͱ͜Ζ͸ۤख • ͍ΘΏΔΦʔόʔϋϯάͱݺ͹ΕΔͱ͜Ζ • Լ͔ΒੵΜͰ͍͘લఏͳͷͰԼʹͳ͍΋ͳ͍ ු͍͍ͯΔͱ͜Ζ͸ۭதʹ༹͚ͨϓϥ͕ग़Δ • ղܾʹ͸αϙʔτࡐͳͲ͕ඞཁ

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αϙʔτࡐग़ྗ

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αϙʔτࡐऔΓআ͘ͷͭΒ͍

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ྫ͑͹গʑͷΦʔόʔϋϯά ͸໨ΛͭΉΔ

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ྫ͑͹ͻͬ͘Γฦ͢

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͜ΕͰ΋݁ߏ͖Ε͍ʹग़Δ

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ྫ͑͹෼ׂ͢Δ

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͸ΊࠐΈ෦඼ • ύʔπΛ෼ׂ͢ΔͱԿΒ͔ͷํ๏Ͱ͸ΊࠐΈ Λ͠ͳ͍ͱ͍͚ͳ͍ • ؙͱ๮͸ͳΜ͔΄΅΄΅ೖΒͳ͍͔εΧεΧ • ͱ͍͏Θ͚Ͱผͷํ๏Λ࢖͏

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ଟ֯ܗʹ͢Δ http://makezine.jp/blog/2015/09/tips-3d-printing-press-ﬁt-parts.html

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࣮ફ

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͔͠͠ٯύλʔϯ(ଟ֯ܗʹؙಥͬࠐΉ)ͷ͸ 3DϓϦϯτύʔπ VS 3DϓϦϯτύʔπͩͱ ͏·͍͔͘ͳ͔ͬͨ

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ଟ֯ܗʹϕΞϦϯά(ؙ)͸ ͍͚Δ

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ͦΜͳΘ͚Ͱग़དྷ·ͨ͠

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ಈ͍͍ͯΔ͔ͳʁ ʢຊ൪Ͱ͸ࣃंטΈ߹Θͳ͘ ͯͱ͔͍Ζ͍Ζ͋Γಈ͖·ͤ ΜͰͨ͠ʣ

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·ͱΊ

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ཪςʔϚᶄ ࢈ۀֵ໋ظͷεύίϯΛ࡞Δ

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ͳͥ࢈ۀֵ໋ظͷεύίϯΛݸ ਓͰ࡞ΕΔΑ͏ʹͳͬͨͷ͔ʁ • ࠶ݱੑͷߴ͍Ճ޻ػցͷଘࡏ • 3DϓϦϯλ, ϨʔβʔΧολʔ, CNC • ڧ౓ͷߴ͍ϓϥενοΫͷൃ໌ • ΠϯλʔωοτͰ஌ࣝΛ࢓ೖΕΔ • ֊ࠩػؔͷ࢓૊Έ͸YouTubeͰ֮͑ͨ

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ػցࣜίϯϐϡʔλͰܭࢉͷຊ ࣭Λମײ͢Δ • όϕοδࢯ͕֊ࠩػؔΛ࡞ͬͨཧ༝͸ʮࣗಈ Խʯ • ਺දΛ࡞ΔͷΛࣗಈԽ͍ͨ͠ɺͦΕ΋ҹ࡮ ͢Δ·Ͱ • ਺දΛ࡞Δաఔʹਓ͕հೖ͢Δͱ਺ࣈΛϛ εΔɻ਺ࣈΛϛεΔͱϠόΠ……

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Թ͔Έͷ͋Δͷ΋͍͍͚ΕͲ • ϛεΔͱϠόΠͱ͜Ζ͸͔Β͘ΓΛۦ࢖ͯ͠ͳ Μͱͯ͠Ͱ΋ࣗಈԽΛ͢Δ • ӡ༻ʹ΋௨͡·͢Ͷ • ϞδϡʔϧԽ΋ਪਐ͢Δ • ֊ࠩػؔ͸ಉ͡ύʔπͰܻͱ֊ࠩΛ૿΍ͤΔ