[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/1129#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/1129","headline":"\u4e8c\u5341\u516d\u89d2\u5f62 – Wikipedia","name":"\u4e8c\u5341\u516d\u89d2\u5f62 – Wikipedia","description":"\u4e8c\u5341\u516d\u89d2\u5f62\uff08\u306b\u3058\u3085\u3046\u308d\u304f\u304b\u304f\u3051\u3044\u3001\u306b\u3058\u3085\u3046\u308d\u3063\u304b\u3063\u3051\u3044\u3001icosihexagon\uff09\u306f\u3001\u591a\u89d2\u5f62\u306e\u4e00\u3064\u3067\u300126\u672c\u306e\u8fba\u306826\u500b\u306e\u9802\u70b9\u3092\u6301\u3064\u56f3\u5f62\u3067\u3042\u308b\u3002\u5185\u89d2\u306e\u548c\u306f4320\u00b0\u3001\u5bfe\u89d2\u7dda\u306e\u672c\u6570\u306f299\u672c\u3067\u3042\u308b\u3002 Table of Contents \u6b63\u4e8c\u5341\u516d\u89d2\u5f62[\u7de8\u96c6]\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306e\u4f5c\u56f3[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6] \u6b63\u4e8c\u5341\u516d\u89d2\u5f62[\u7de8\u96c6] \u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306b\u304a\u3044\u3066\u306f\u3001\u4e2d\u5fc3\u89d2\u3068\u5916\u89d2\u306f13.846\u2026\u00b0\u3067\u3001\u5185\u89d2\u306f166.153\u2026\u00b0\u3068\u306a\u308b\u3002\u4e00\u8fba\u306e\u9577\u3055\u304c a \u306e\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306e\u9762\u7a4d S \u306f S=264a2cot\u2061\u03c026\u224353.53232a2{displaystyle S={frac {26}{4}}a^{2}cot {frac {pi }{26}}simeq 53.53232a^{2}} cos\u2061(2\u03c0\/26){displaystyle cos(2pi","datePublished":"2021-02-26","dateModified":"2021-02-26","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/88\/Regular_polygon_26.svg\/300px-Regular_polygon_26.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/88\/Regular_polygon_26.svg\/300px-Regular_polygon_26.svg.png","height":"298","width":"300"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki3\/archives\/1129","about":["Wiki"],"wordCount":4192,"articleBody":"  \u4e8c\u5341\u516d\u89d2\u5f62\uff08\u306b\u3058\u3085\u3046\u308d\u304f\u304b\u304f\u3051\u3044\u3001\u306b\u3058\u3085\u3046\u308d\u3063\u304b\u3063\u3051\u3044\u3001icosihexagon\uff09\u306f\u3001\u591a\u89d2\u5f62\u306e\u4e00\u3064\u3067\u300126\u672c\u306e\u8fba\u306826\u500b\u306e\u9802\u70b9\u3092\u6301\u3064\u56f3\u5f62\u3067\u3042\u308b\u3002\u5185\u89d2\u306e\u548c\u306f4320\u00b0\u3001\u5bfe\u89d2\u7dda\u306e\u672c\u6570\u306f299\u672c\u3067\u3042\u308b\u3002  Table of Contents\u6b63\u4e8c\u5341\u516d\u89d2\u5f62[\u7de8\u96c6]\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306e\u4f5c\u56f3[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u6b63\u4e8c\u5341\u516d\u89d2\u5f62[\u7de8\u96c6]\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306b\u304a\u3044\u3066\u306f\u3001\u4e2d\u5fc3\u89d2\u3068\u5916\u89d2\u306f13.846\u2026\u00b0\u3067\u3001\u5185\u89d2\u306f166.153\u2026\u00b0\u3068\u306a\u308b\u3002\u4e00\u8fba\u306e\u9577\u3055\u304c a \u306e\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306e\u9762\u7a4d S \u306f  S=264a2cot\u2061\u03c026\u224353.53232a2{displaystyle S={frac {26}{4}}a^{2}cot {frac {pi }{26}}simeq 53.53232a^{2}}cos\u2061(2\u03c0\/26){displaystyle cos(2pi \/26)}\u3092\u5e73\u65b9\u6839\u3068\u7acb\u65b9\u6839\u3067\u8868\u3059\u3068cos\u20612\u03c026=cos\u2061\u03c013=11272+72\u22c5cos\u20612\u03c013=11272+72\u22c5112(104\u22122013+12\u2212393+104\u22122013\u221212\u2212393+13\u22121)=0.970941…{displaystyle cos {frac {2pi }{26}}=cos {frac {pi }{13}}={frac {1}{12}}{sqrt {72+72cdot cos {frac {2pi }{13}}}}={frac {1}{12}}{sqrt {72+72cdot {frac {1}{12}}left({sqrt[{3}]{104-20{sqrt {13}}+12{sqrt {-39}}}}+{sqrt[{3}]{104-20{sqrt {13}}-12{sqrt {-39}}}}+{sqrt {13}}-1right)}}=0.970941…}\u95a2\u4fc2\u5f0f  \u03b1=2cos\u20612\u03c026+2cos\u20616\u03c026+2cos\u206118\u03c026=1+132\u03b2=2cos\u206114\u03c026+2cos\u206110\u03c026+2cos\u206122\u03c026=1\u2212132{displaystyle {begin{aligned}&alpha =2cos {frac {2pi }{26}}+2cos {frac {6pi }{26}}+2cos {frac {18pi }{26}}={frac {1+{sqrt {13}}}{2}}&beta =2cos {frac {14pi }{26}}+2cos {frac {10pi }{26}}+2cos {frac {22pi }{26}}={frac {1-{sqrt {13}}}{2}}end{aligned}}}\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u3092\u6c42\u3081\u308b\u30682cos\u20612\u03c026\u22c52cos\u20616\u03c026+2cos\u20616\u03c026\u22c52cos\u206118\u03c026+2cos\u206118\u03c026\u22c52cos\u20612\u03c026=\u221212cos\u20612\u03c026\u22c52cos\u20616\u03c026\u22c52cos\u206118\u03c026=\u03b2\u22122{displaystyle {begin{aligned}&2cos {frac {2pi }{26}}cdot 2cos {frac {6pi }{26}}+2cos {frac {6pi }{26}}cdot 2cos {frac {18pi }{26}}+2cos {frac {18pi }{26}}cdot 2cos {frac {2pi }{26}}=-1&2cos {frac {2pi }{26}}cdot 2cos {frac {6pi }{26}}cdot 2cos {frac {18pi }{26}}=beta -2end{aligned}}}\u89e3\u3068\u4fc2\u6570\u306e\u95a2\u4fc2\u3088\u308ax3\u2212\u03b1x2\u2212x\u2212(\u03b2\u22122)=0{displaystyle x^{3}-alpha x^{2}-x-(beta -2)=0}\u5909\u6570\u5909\u63dbx=y+\u03b1\/3{displaystyle x=y+alpha \/3}\u6574\u7406\u3059\u308b\u3068y3\u221213+136y+26+51327=0{displaystyle y^{3}-{frac {13+{sqrt {13}}}{6}}y+{frac {26+5{sqrt {13}}}{27}}=0}\u4e09\u89d2\u95a2\u6570\u3001\u9006\u4e09\u89d2\u95a2\u6570\u3092\u7528\u3044\u3066\u89e3\u306fx=1+136+2313+132cos\u2061(13arccos\u2061\u2212(26+513)2(13+132)32){displaystyle x={frac {1+{sqrt {13}}}{6}}+{frac {2}{3}}{sqrt {frac {13+{sqrt {13}}}{2}}}cos left({frac {1}{3}}arccos {frac {-(26+5{sqrt {13}})}{2left({frac {13+{sqrt {13}}}{2}}right)^{tfrac {3}{2}}}}right)}\u5e73\u65b9\u6839\u3001\u7acb\u65b9\u6839\u3092\u7528\u3044\u3066x=1+136+1313+132\u2212(26+513)2(13+132)32+i3392(13+132)323+1313+132\u2212(26+513)2(13+132)32\u2212i3392(13+132)323{displaystyle x={frac {1+{sqrt {13}}}{6}}+{frac {1}{3}}{sqrt {frac {13+{sqrt {13}}}{2}}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2left({frac {13+{sqrt {13}}}{2}}right)^{tfrac {3}{2}}}}+i{frac {3{sqrt {39}}}{2left({frac {13+{sqrt {13}}}{2}}right)^{tfrac {3}{2}}}}}}+{frac {1}{3}}{sqrt {frac {13+{sqrt {13}}}{2}}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2left({frac {13+{sqrt {13}}}{2}}right)^{tfrac {3}{2}}}}-i{frac {3{sqrt {39}}}{2left({frac {13+{sqrt {13}}}{2}}right)^{tfrac {3}{2}}}}}}}x=1+136+13\u2212(26+513)2+i33923+13\u2212(26+513)2\u2212i33923{displaystyle x={frac {1+{sqrt {13}}}{6}}+{frac {1}{3}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2}}+i{frac {3{sqrt {39}}}{2}}}}+{frac {1}{3}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2}}-i{frac {3{sqrt {39}}}{2}}}}}cos\u2061(2\u03c0\/26){displaystyle cos(2pi \/26)}\u3092\u5e73\u65b9\u6839\u3068\u7acb\u65b9\u6839\u3067\u8868\u3059\u3068cos\u20612\u03c026=1+1312+16\u2212(26+513)2+i33923+16\u2212(26+513)2\u2212i33923{displaystyle cos {frac {2pi }{26}}={frac {1+{sqrt {13}}}{12}}+{frac {1}{6}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2}}+i{frac {3{sqrt {39}}}{2}}}}+{frac {1}{6}}{sqrt[{3}]{{frac {-(26+5{sqrt {13}})}{2}}-i{frac {3{sqrt {39}}}{2}}}}}\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306e\u4f5c\u56f3[\u7de8\u96c6]\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306f\u5b9a\u898f\u3068\u30b3\u30f3\u30d1\u30b9\u306b\u3088\u308b\u4f5c\u56f3\u304c\u4e0d\u53ef\u80fd\u306a\u56f3\u5f62\u3067\u3042\u308b\u3002\u6b63\u4e8c\u5341\u516d\u89d2\u5f62\u306f\u6298\u7d19\u306b\u3088\u308a\u4f5c\u56f3\u53ef\u80fd\u3067\u3042\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6].mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox{font-size:90%}.mw-parser-output .asbox-note{font-size:90%}.mw-parser-output .asbox 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