In combinatorial mathematics, an Apollonian network is an undirected graph formed by a process of recursively subdividing a triangle into three smaller triangles. Apollonian networks may equivalently be defined as the planar 3-trees, the maximal planar chordal graphs, the uniquely 4-colorable planar graphs, and the graphs of stacked polytopes. They are named after Apollonius of Perga, who studied a related circle-packing construction.
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{"type":"standard","title":"Hörnum","displaytitle":"Hörnum","namespace":{"id":0,"text":""},"wikibase_item":"Q28013","titles":{"canonical":"Hörnum","normalized":"Hörnum","display":"Hörnum"},"pageid":13400143,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/5/59/H%C3%B6rnum_aerial_view.jpg/330px-H%C3%B6rnum_aerial_view.jpg","width":320,"height":180},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/5/59/H%C3%B6rnum_aerial_view.jpg","width":5360,"height":3012},"lang":"en","dir":"ltr","revision":"1235242901","tid":"735ab951-44ee-11ef-a15e-8d271d843c25","timestamp":"2024-07-18T10:14:00Z","description":"Municipality in Schleswig-Holstein, Germany","description_source":"local","coordinates":{"lat":54.7575,"lon":8.2875},"content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/H%C3%B6rnum","revisions":"https://en.wikipedia.org/wiki/H%C3%B6rnum?action=history","edit":"https://en.wikipedia.org/wiki/H%C3%B6rnum?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:H%C3%B6rnum"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/H%C3%B6rnum","revisions":"https://en.m.wikipedia.org/wiki/Special:History/H%C3%B6rnum","edit":"https://en.m.wikipedia.org/wiki/H%C3%B6rnum?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:H%C3%B6rnum"}},"extract":" is a municipality in the district of Nordfriesland, in Schleswig-Holstein, Germany. It is located on the southern headland of the island of Sylt. The municipality is part of the Amt Landschaft Sylt. The economy is dominated by tourism.","extract_html":"
is a municipality in the district of Nordfriesland, in Schleswig-Holstein, Germany. It is located on the southern headland of the island of Sylt. The municipality is part of the Amt Landschaft Sylt. The economy is dominated by tourism.
"}{"fact":"Researchers believe the word \u201ctabby\u201d comes from Attabiyah, a neighborhood in Baghdad, Iraq. Tabbies got their name because their striped coats resembled the famous wavy patterns in the silk produced in this city.","length":212}
{"slip": { "id": 206, "advice": "Don't waste food."}}
{"fact":"The domestic cat is the only species able to hold its tail vertically while walking. You can also learn about your cat's present state of mind by observing the posture of his tail.","length":180}
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