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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| - Order-2 apeirogonal tiling (en)
- 二階無限邊形鑲嵌 (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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| - 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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