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https:///mymemo.xyz/wiki/api.php?action=feedcontributions&feedformat=atom&user=180.36.50.32 2024-06-02T03:24:42Z 利用者の投稿記録 MediaWiki 1.31.0 2014-07-18T17:31:57Z

<p>180.36.50.32: </p> <hr /> <div>&#039;&#039;&#039;五面体&#039;&#039;&#039;（ごめんたい、pentahedron）は、5つの面からなる[[多面体]]。<br /> <br /> [[トポロジー]]（[[頂点]]・[[辺]]・面の関係）には次の2種類がある。<br /> *3つの[[四角形]]と2つの[[三角形]]。辺の数は9、頂点の数は6。2つの三角形が平行な場合は[[三角柱]]である。面が全て[[正多角形]]のものはアルキメデスの三角柱。<br /> *1つの四角形と4つの三角形。辺の数は8、頂点の数は5。これはすなわち[[四角錐]]（直四角錐または斜四角錐）である。[[ジョンソンの立体]]では[[正四角錐]]。<br /> <br /> 複数のトポロジーがある最少の面数である。なお、これに対し[[四面体]]のトポロジーは1種類しかなく、[[六面体]]のトポロジーは10種類にまで増える。<br /> <br /> &lt;gallery&gt;<br /> Image:Geometric wedge.png|[[w:Wedge (geometry)|Wedge]]<br /> Image:Triangular prism.png|[[三角柱]]<br /> Image:Square pyramid.png|[[四角錐]]<br /> &lt;/gallery&gt;<br /> <br /> {{多面体}}<br /> <br /> {{DEFAULTSORT:こめんたい}}<br /> <br /> [[Category:多面体]]<br /> [[Category:数学に関する記事]]</div>

180.36.50.32 2014-07-18T17:22:25Z

<p>180.36.50.32: 英語版を参考に、凹図形の画像を追加</p> <hr /> <div>&#039;&#039;&#039;六面体&#039;&#039;&#039;（ろくめんたい）とは、6つの平面図形で囲まれた立体のことである。特に、6つの[[正方形]]で囲まれた立体のことを、[[立方体]]又は正六面体という。<br /> <br /> ==種類==<br /> 六面体の各面の組合せには、凸六面体が7種類、凹六面体が3種類ある。番号は仮に付けたものである。右は、対応する[[ジョンソン多面体]]（面が全て[[正多角形]]の多面体）。<br /> <br /> #6つの[[四角形]]（[[直方体]]、[[平行六面体]]、[[ねじれ双三角錐]]など） - [[正六面体]]（立方体）<br /> #6つの[[三角形]]（[[双三角錐]]、[[複三角錐]]など） - [[デルタ六面体]]<br /> #1つの[[五角形]]と5つの三角形（[[五角錐]]） - [[正五角錐]]<br /> #1つの五角形と2つの四角形と3つの三角形<br /> #2つの五角形と2つの四角形と2つの三角形<br /> #4つの四角形と2つの三角形<br /> #2つの四角形と4つの三角形<br /> #2つの凹四角形と4つの三角形<br /> #2つの凹五角形と4つの三角形<br /> #2つの凹[[六角形]]と4つの三角形<br /> <br /> &lt;gallery&gt;<br /> Image:Hexahedron1.svg|1（特に立方体）<br /> Image:Hexahedron5.svg|2（特に双三角錐）<br /> Image:Hexahedron2.svg|3（五角錐）<br /> Image:Hexahedron3.svg|4<br /> Image:Hexahedron4.svg|5<br /> Image:Hexahedron6.svg|6<br /> Image:Hexahedron7.svg|7<br /> Image:Hexahedron7a.svg|7の[[鏡像]]<br /> Image:Hexahedron8.svg|8<br /> Image:Hexahedron10.svg|9<br /> Image:Hexahedron9.svg|10<br /> &lt;/gallery&gt;<br /> <br /> {{多面体}}<br /> <br /> {{DEFAULTSORT:ろくめんたい}}<br /> [[Category:多面体]]<br /> [[Category:数学に関する記事]]</div>

180.36.50.32
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