Talk:Rectangle
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moved dubious material from main page + last paragraph about puzzles etc too detailed for lede
editThis is a simple rectangle.[dubious – discuss]
A rectangle that is not simple is complex,[dubious – discuss] but more clearly described as self-intersecting or crossed. It is defined as[dubious – discuss] a self-intersecting quadrilateral with the same vertex arrangement as a simple rectangle. An alternative view (covering both simple and self-intersecting shapes) is to define a rectangle as an equiangular quadrilateral.
Rectangles may be used in periodic tilings of the plane. Another popular subject in recreational mathematics is the tiling of rectangles by polygons, ranging from simple puzzles to unsolved problems.
"The two diagonals are equal in length and bisect each other. Every quadrilateral with both these properties is a rectangle."
editThis fact is given under "miscellaneous" but does it not belong as a "characterization"? This seems rather inconsistent to me. TheGrappler (talk) 16:39, 17 February 2017 (UTC)
- This characterization is already given in another form: a parallelogram with diagonals of equal lengths. Circlesareround (talk) 09:59, 20 February 2017 (UTC)
Pronunciation
editPlease add phonetic and audio pronunciation of the word 'rectangle'. Thanks Shimmy (talk) 04:12, 21 December 2018 (UTC)
- The OED has Brit./ˈrɛktaŋɡl/, U.S./ˈrɛkˌtæŋɡ(ə)l/ and the American audio can be found at wikt:rectangle. Wikipedia's IPA retains 1950s /æ/ for British, so it would be /ˈrɛkˌtæŋəl/ for both. Perhaps someone can check this before inserting into the article. Dbfirs 09:28, 21 December 2018 (UTC)
Analytical geometry
editShow that Ac bisects BD 41.113.63.39 (talk) 07:36, 13 May 2022 (UTC)
folded rectangle theorem
editRecently added:
- A rectangle with sides a, b (a<b) is folded along the line that passes through the center of the rectangle in order to get the minimum area of crossing intersections: a unique rectangle exists for two solutions with equal area but different shapes - triangle and pentagon (the unique ratio of sides : ).
I guess this means: of all the fold-lines that pass through the center, find the one (or two, in the special case) that minimizes the area of the overlap. Is that right? —Tamfang (talk) 02:29, 29 November 2023 (UTC)
- Yes, indeed.I just wanted to highlight the special case. Do you like other text of the theorem? Migvnk (talk) 10:18, 12 March 2024 (UTC)