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Almond

Module 2 Day 3 Your Turn Part 1
weirdmathnames
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  • R
    RZ923 M0★ M2★ M3★ M4★ M5
    last edited by RZ923 Aug 25, 2020, 4:09 AM Aug 4, 2020, 6:57 AM

    Is there a mathematical name for the “almond” shown in the diagram below, or the mathematical name is “almond“, or it don’t have a mathematical name at all?
    3B2DE444-5A2A-40CF-83F2-0BE1A322BDD5.jpeg
    🙂
    PS I put it under the tag “weirdmathnames” just to make it easier to find.

    Very Interesting

    D 1 Reply Last reply Aug 4, 2020, 1:26 PM Reply Quote 1
    • D
      debbie ADMIN M0★ M1 M5 @RZ923
      last edited by debbie Aug 4, 2020, 5:10 PM Aug 4, 2020, 1:26 PM

      @RZ923 Thank you for asking! I had to look this up, 🔍 so this is by no means an authoritative answer, but Wolfram Mathworld calls it a "lamina" or "lens", 🍋 defined to be formed by the intersection of circles if the centers of curvatures are on opposite sides. A lune 🌙 🌙
      seems to be a special case of such a lamina/lens where the centers of curvature are on the same side. (That means that their curves would "go the same way," as in, enclose each other.) 🙂

      R 1 Reply Last reply Aug 5, 2020, 3:20 AM Reply Quote 1
      • R
        RZ923 M0★ M2★ M3★ M4★ M5 @debbie
        last edited by Aug 5, 2020, 3:20 AM

        @debbie so almonds 🌰 and lunes 🌙 are the same thing, under the category of lamina (lemons) 🍋 ?
        Mathematicians always name abstract concepts as real things.

        Very Interesting

        P 1 Reply Last reply Aug 5, 2020, 8:00 PM Reply Quote 4
        • P
          Potato2017 M5★ @RZ923
          last edited by Aug 5, 2020, 8:00 PM

          @RZ923 l e m o n

          The best Potato
          aops: Potato2017
          yt: http://bit.ly/potatosubscribe
          discord: Potato2017#1822 (it's tent#0001 now)
          tetr.io: https://ch.tetr.io/u/potato2017
          -Potato2017

          1 Reply Last reply Reply Quote 3
          • B
            Bulba_Bulbasaur M0★ M1★ M2★ M3
            last edited by Aug 9, 2020, 9:46 AM

            I dunno, but it looks yummy.

            revenge of the math nerds!

            D 1 Reply Last reply Aug 9, 2020, 7:04 PM Reply Quote 3
            • D
              debbie ADMIN M0★ M1 M5 @Bulba_Bulbasaur
              last edited by Aug 9, 2020, 7:04 PM

              @Da-Parasite

              More whimsical math names:

              The Chicken McNugget Theorem 🐔
              The Shoelace Theorem 👟
              A Man and His Dad Put a Bomb in the Sink 💣

              P 1 Reply Last reply Aug 9, 2020, 8:28 PM Reply Quote 2
              • P
                Potato2017 M5★ @debbie
                last edited by Aug 9, 2020, 8:28 PM

                @debbie I know the shoelace theorem! It's like a theorem to find the area of any polygon on the Cartesian plane or something like that right?

                The best Potato
                aops: Potato2017
                yt: http://bit.ly/potatosubscribe
                discord: Potato2017#1822 (it's tent#0001 now)
                tetr.io: https://ch.tetr.io/u/potato2017
                -Potato2017

                D 1 Reply Last reply Aug 9, 2020, 8:33 PM Reply Quote 3
                • D
                  debbie ADMIN M0★ M1 M5 @Potato2017
                  last edited by debbie Aug 9, 2020, 8:33 PM Aug 9, 2020, 8:33 PM

                  @Potato2017 Yes!! 🙂 👟

                  You can find the area of any shape whose vertices are lattice points (integer coordinates).

                  Just write the coordinates starting from any one, going in clock-wise order (or counter-clockwise, doesn't matter) in a long column, in the form \((x,y)\) with the \(x\)'s on the left and the \(y\)'s on the right. Take the first coordinate at the top and copy it again at the bottom. Then start making diagonal south-easterly lines of two coordinates at a time, multiplying them together. Add these up, and this is the first sum. Make diagonal south-westerly lines of two coordinates at a time, multiplying them together. Add these up, and this is the second sum. Subtract the second from the first. Divide by 2 and take the absolute value; this is the area of the polygon.

                  The derivation comes from the idea of expressing the coordinates in a matrix and finding the determinant of it!

                  🙂

                  P 1 Reply Last reply Aug 10, 2020, 8:29 PM Reply Quote 2
                  • P
                    Potato2017 M5★ @debbie
                    last edited by Aug 10, 2020, 8:29 PM

                    @debbie yea, i found it in an aops textbook

                    The best Potato
                    aops: Potato2017
                    yt: http://bit.ly/potatosubscribe
                    discord: Potato2017#1822 (it's tent#0001 now)
                    tetr.io: https://ch.tetr.io/u/potato2017
                    -Potato2017

                    1 Reply Last reply Reply Quote 1
                    • T
                      The Blade Dancer M0★ M1★ M2★ M3★ M4 M5
                      last edited by The Blade Dancer Aug 12, 2020, 1:07 PM Aug 12, 2020, 1:06 PM

                      people need to stop making up complicated jargon

                      The Blade Dancer
                      League of Legends, Valorant: Harlem Charades (#NA1)
                      Discord: Change nickname if gay#7585

                      1 Reply Last reply Reply Quote 2
                      • R
                        RZ923 M0★ M2★ M3★ M4★ M5
                        last edited by RZ923 Sep 23, 2020, 9:26 AM Aug 13, 2020, 12:48 AM

                        @Da-Parasite @debbie
                        More weird maths theorem names:
                        Ham SandwichTheorem 🥪
                        Hairy Ball/Hedgehog Theorem 🎱 💇 🦔
                        Squeeze/Sandwich Theorem 🍹🥪

                        Very Interesting

                        D 1 Reply Last reply Aug 13, 2020, 12:49 AM Reply Quote 2
                        • D
                          debbie ADMIN M0★ M1 M5 @RZ923
                          last edited by Aug 13, 2020, 12:49 AM

                          @RZ923 Really!?! I haven't heard these before, lol 😄

                          R 1 Reply Last reply Aug 13, 2020, 12:52 AM Reply Quote 2
                          • R
                            RZ923 M0★ M2★ M3★ M4★ M5 @debbie
                            last edited by RZ923 Aug 13, 2020, 12:53 AM Aug 13, 2020, 12:52 AM

                            @debbie
                            4CF9738C-9DF7-44C4-967F-BEB8E6005202.jpeg
                            🎱 🦔
                            576C8B04-9E49-4602-9CC2-01158C9C9BEE.jpeg
                            🥓🥪
                            DF1D1E1C-FF1B-4E78-9E75-7ADAEEB127B7.jpeg
                            🍹🥪

                            Very Interesting

                            D 1 Reply Last reply Aug 13, 2020, 1:42 AM Reply Quote 2
                            • D
                              debbie ADMIN M0★ M1 M5 @RZ923
                              last edited by Aug 13, 2020, 1:42 AM

                              @RZ923 Ohhhhh wow... it will be a long time before I start learning algebraic topology, so I won't get to learn the Hairy Ball Theorem for a while yet... 🙂

                              1 Reply Last reply Reply Quote 1
                              • divinedolphinD
                                divinedolphin M0★ M1★ M2★ M3★ M4★ M5★ M6★
                                last edited by Aug 13, 2020, 2:32 PM

                                I like the way Wikipedia explains the hairy ball theorem "you can't comb a hairy ball flat without creating a cowlick." It's simple enough for most people to understand. Also, Wiki says that the hairy ball theorem is also called the hedgehog theorem, but when I search up the hedgehog theorem, it gives me the hedgehog principle/concept. "The Hedgehog Concept is based on an ancient Greek parable that states, "The fox knows many things, but the hedgehog knows one big thing." In the parable, the fox uses many strategies to try to catch the hedgehog. ... Hedgehogs, however, simplify the world and focus on a single, overarching vision, which they then achieve."

                                👕👕👕👕👕👕👕👕👕👕🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌

                                1 Reply Last reply Reply Quote 2
                                • R
                                  RZ923 M0★ M2★ M3★ M4★ M5
                                  last edited by Aug 25, 2020, 3:29 AM

                                  🙂 🧮 🔢
                                  3AD90C04-A3BB-4011-8E1B-764FB175E180.jpeg
                                  Who named that?!

                                  Very Interesting

                                  D 1 Reply Last reply Aug 25, 2020, 3:30 AM Reply Quote 3
                                  • D
                                    debbie ADMIN M0★ M1 M5 @RZ923
                                    last edited by Aug 25, 2020, 3:30 AM

                                    @RZ923 I thought one was the loneliest number... 🙂

                                    (Like that song...)

                                    R 1 Reply Last reply Aug 25, 2020, 4:06 AM Reply Quote 2
                                    • R
                                      RZ923 M0★ M2★ M3★ M4★ M5 @debbie
                                      last edited by Aug 25, 2020, 4:06 AM

                                      @debbie
                                      67FC8464-122C-4DD7-BE4E-63040CD66DF5.jpeg
                                      Also there’s this pun in Chinese that 1 is the laziest number, because of a saying called 一不做,二不休:
                                      Pun meaning: 1 never does anything, 2 never rests
                                      Actual meaning: you either don’t do something or do it until the end.
                                      🙂

                                      Very Interesting

                                      D 1 Reply Last reply Aug 25, 2020, 5:30 PM Reply Quote 3
                                      • D
                                        debbie ADMIN M0★ M1 M5 @RZ923
                                        last edited by Aug 25, 2020, 5:30 PM

                                        @RZ923 That's a very nice idiom. 🙂

                                        1 Reply Last reply Reply Quote 3
                                        • R
                                          RZ923 M0★ M2★ M3★ M4★ M5
                                          last edited by Oct 4, 2020, 12:23 AM

                                          Funny maths theorems edition 2:

                                          • Ugly Duckling 🐥🦢 Theorem
                                            3B80FD39-138F-495F-8AB3-109BBAAF4EFD.png
                                          • Shoes 🥿 👞 👟 and Socks 🧦 Theorem

                                          Very Interesting

                                          amusingmarmosetA 1 Reply Last reply Dec 9, 2020, 10:00 AM Reply Quote 3

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