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    Almond

    Module 2 Day 3 Your Turn Part 1
    weirdmathnames
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    • debbieD
      debbie ADMIN M0โ˜… M1 M5 @RZ923
      last edited by debbie

      @RZ923 Thank you for asking! I had to look this up, ๐Ÿ” so this is by no means an authoritative answer, but Wolfram Mathworld calls it a "lamina" or "lens", ๐Ÿ‹ defined to be formed by the intersection of circles if the centers of curvatures are on opposite sides. A lune ๐ŸŒ™ ๐ŸŒ™
      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.) ๐Ÿ™‚

      RZ923R 1 Reply Last reply Reply Quote 1
      • RZ923R
        RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5 @debbie
        last edited by

        @debbie so almonds ๐ŸŒฐ and lunes ๐ŸŒ™ are the same thing, under the category of lamina (lemons) ๐Ÿ‹ ?
        Mathematicians always name abstract concepts as real things.

        Very Interesting

        Potato2017P 1 Reply Last reply Reply Quote 4
        • Potato2017P
          Potato2017 M5โ˜… @RZ923
          last edited by

          @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
          • Bulba_BulbasaurB
            Bulba_Bulbasaur M0โ˜… M1โ˜… M2โ˜… M3
            last edited by

            I dunno, but it looks yummy.

            revenge of the math nerds!

            debbieD 1 Reply Last reply Reply Quote 3
            • debbieD
              debbie ADMIN M0โ˜… M1 M5 @Bulba_Bulbasaur
              last edited by

              @Da-Parasite

              More whimsical math names:

              The Chicken McNugget Theorem ๐Ÿ”
              The Shoelace Theorem ๐Ÿ‘Ÿ
              A Man and His Dad Put a Bomb in the Sink ๐Ÿ’ฃ

              Potato2017P 1 Reply Last reply Reply Quote 2
              • Potato2017P
                Potato2017 M5โ˜… @debbie
                last edited by

                @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

                debbieD 1 Reply Last reply Reply Quote 3
                • debbieD
                  debbie ADMIN M0โ˜… M1 M5 @Potato2017
                  last edited by debbie

                  @Potato2017 Yes!! ๐Ÿ™‚ ๐Ÿ‘Ÿ

                  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!

                  ๐Ÿ™‚

                  Potato2017P 1 Reply Last reply Reply Quote 2
                  • Potato2017P
                    Potato2017 M5โ˜… @debbie
                    last edited by

                    @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
                    • The Blade DancerT
                      The Blade Dancer M0โ˜… M1โ˜… M2โ˜… M3โ˜… M4 M5
                      last edited by The Blade Dancer

                      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
                      • RZ923R
                        RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5
                        last edited by RZ923

                        @Da-Parasite @debbie
                        More weird maths theorem names:
                        Ham SandwichTheorem ๐Ÿฅช
                        Hairy Ball/Hedgehog Theorem ๐ŸŽฑ ๐Ÿ’‡ ๐Ÿฆ”
                        Squeeze/Sandwich Theorem ๐Ÿน๐Ÿฅช

                        Very Interesting

                        debbieD 1 Reply Last reply Reply Quote 2
                        • debbieD
                          debbie ADMIN M0โ˜… M1 M5 @RZ923
                          last edited by

                          @RZ923 Really!?! I haven't heard these before, lol ๐Ÿ˜„

                          RZ923R 1 Reply Last reply Reply Quote 2
                          • RZ923R
                            RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5 @debbie
                            last edited by RZ923

                            @debbie
                            4CF9738C-9DF7-44C4-967F-BEB8E6005202.jpeg
                            ๐ŸŽฑ ๐Ÿฆ”
                            576C8B04-9E49-4602-9CC2-01158C9C9BEE.jpeg
                            ๐Ÿฅ“๐Ÿฅช
                            DF1D1E1C-FF1B-4E78-9E75-7ADAEEB127B7.jpeg
                            ๐Ÿน๐Ÿฅช

                            Very Interesting

                            debbieD 1 Reply Last reply Reply Quote 2
                            • debbieD
                              debbie ADMIN M0โ˜… M1 M5 @RZ923
                              last edited by

                              @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... ๐Ÿ™‚

                              1 Reply Last reply Reply Quote 1
                              • divinedolphinD
                                divinedolphin M0โ˜… M1โ˜… M2โ˜… M3โ˜… M4โ˜… M5โ˜… M6โ˜…
                                last edited by

                                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."

                                ๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐Ÿ‘•๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ๐ŸŒ

                                1 Reply Last reply Reply Quote 2
                                • RZ923R
                                  RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5
                                  last edited by

                                  ๐Ÿ™‚ ๐Ÿงฎ ๐Ÿ”ข
                                  3AD90C04-A3BB-4011-8E1B-764FB175E180.jpeg
                                  Who named that?!

                                  Very Interesting

                                  debbieD 1 Reply Last reply Reply Quote 3
                                  • debbieD
                                    debbie ADMIN M0โ˜… M1 M5 @RZ923
                                    last edited by

                                    @RZ923 I thought one was the loneliest number... ๐Ÿ™‚

                                    (Like that song...)

                                    RZ923R 1 Reply Last reply Reply Quote 2
                                    • RZ923R
                                      RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5 @debbie
                                      last edited by

                                      @debbie
                                      67FC8464-122C-4DD7-BE4E-63040CD66DF5.jpeg
                                      Also thereโ€™s this pun in Chinese that 1 is the laziest number, because of a saying called ไธ€ไธๅš๏ผŒไบŒไธไผ‘:
                                      Pun meaning: 1 never does anything, 2 never rests
                                      Actual meaning: you either donโ€™t do something or do it until the end.
                                      ๐Ÿ™‚

                                      Very Interesting

                                      debbieD 1 Reply Last reply Reply Quote 3
                                      • debbieD
                                        debbie ADMIN M0โ˜… M1 M5 @RZ923
                                        last edited by

                                        @RZ923 That's a very nice idiom. ๐Ÿ™‚

                                        1 Reply Last reply Reply Quote 3
                                        • RZ923R
                                          RZ923 M0โ˜… M2โ˜… M3โ˜… M4โ˜… M5
                                          last edited by

                                          Funny maths theorems edition 2:

                                          • Ugly Duckling ๐Ÿฅ๐Ÿฆข Theorem
                                            3B80FD39-138F-495F-8AB3-109BBAAF4EFD.png
                                          • Shoes ๐Ÿฅฟ ๐Ÿ‘ž ๐Ÿ‘Ÿ and Socks ๐Ÿงฆ Theorem

                                          Very Interesting

                                          amusingmarmosetA 1 Reply Last reply Reply Quote 3
                                          • amusingmarmosetA
                                            amusingmarmoset M0โ˜… M1โ˜… M2โ˜… M3โ˜… M4 @RZ923
                                            last edited by

                                            @rz923 ham sandwich theorem ๐Ÿคก ๐Ÿ” ๐ŸŒฏ 330px-Ham_sandwich.jpg

                                            ่ฅฟๅทž้ฉฌๅญŸ่ตท,ๅ่ช‰้œ‡ๅ…ณไธญใ€‚
                                            ไฟกๅธƒ้ฝๅคธๅ‹‡,ๅ…ณๅผ ๅฏๅนถ้›„ใ€‚
                                            ๆธญๆกฅๆ–ฝๅ…ญๆˆ˜,ๅฎ‰่œ€ๅฅๅ…จๅŠŸใ€‚
                                            ๆ›นๆ“้—ป้ฃŽๆƒง,ๆต่Šณๆ’ญ่ฟœๆˆŽ!

                                            ไธ‰็›ฎๆ˜Ÿ็ฉบๅ”ฑๆƒ…ๆญŒ๏ผŒๅคฉๅฏๅญ”ๆ˜Ž้‡Š่ฐœๅ›ขใ€‚
                                            ๆฝœไผๅฐๅŸŽๆƒณ้™้™๏ผŒๆฎต่ช‰ไธƒๆ€ๆ–น่ฟ‡ๅ…ณใ€‚

                                            โ€œDeath is but crossing the world, as friends do the seas; they live in one another still."

                                            1 Reply Last reply Reply Quote 5

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