About: Order-2 apeirogonal tiling

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In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tiling of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°.

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  • In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tiling of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°. (en)
  • 在幾何學中，二階無限邊形鑲嵌（英語：order-2 apeirogonal tiling）是一種，由無限邊形組成，每個頂點周為皆有兩個無限邊形，頂點圖可計為∞.2或∞2，但由於所有頂點共線，因此，整個平面只需要二個正無限邊形就能完全密鋪，因此二階無限邊形鑲嵌也可以視為一種二面體，由二個正無限邊形組成，稱為無限邊形二面體（英語：apeirogonal dihedron）。 二階無限邊形鑲嵌是一種能以有限個多邊形完成的平面密鋪，他可以被視為是第四種二維歐幾里得平面上的正多邊形鑲嵌，在施萊夫利符號中用{∞, 2}表示，但在正式的場合中不會將之稱為第四種歐氏平正鑲嵌，因為它已退化。兩個正無限邊形沿著邊連接就足以填滿整個平面無窮的大小，因為其邊數為無限大，且具有180°的內角，因為180°是完整平面360°的一半，因此整個圖形也可以視為由兩個半平面拼合成的完整平面。 (zh)
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  • In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tiling of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°. (en)
  • 在幾何學中，二階無限邊形鑲嵌（英語：order-2 apeirogonal tiling）是一種，由無限邊形組成，每個頂點周為皆有兩個無限邊形，頂點圖可計為∞.2或∞2，但由於所有頂點共線，因此，整個平面只需要二個正無限邊形就能完全密鋪，因此二階無限邊形鑲嵌也可以視為一種二面體，由二個正無限邊形組成，稱為無限邊形二面體（英語：apeirogonal dihedron）。 二階無限邊形鑲嵌是一種能以有限個多邊形完成的平面密鋪，他可以被視為是第四種二維歐幾里得平面上的正多邊形鑲嵌，在施萊夫利符號中用{∞, 2}表示，但在正式的場合中不會將之稱為第四種歐氏平正鑲嵌，因為它已退化。兩個正無限邊形沿著邊連接就足以填滿整個平面無窮的大小，因為其邊數為無限大，且具有180°的內角，因為180°是完整平面360°的一半，因此整個圖形也可以視為由兩個半平面拼合成的完整平面。 (zh)
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  • Order-2 apeirogonal tiling (en)
  • 二階無限邊形鑲嵌 (zh)
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