Donald in Mathmagic Land


 * Donald: Man is strange. Shaa! That's a non looking creature. What that you're creature place as guess. But that with you. Square rooms!
 * Bird: I is equal to 3 point 141592653589747 and 7 and 7 and 7 and.
 * Donald: Huh? [Echoing] Hello?
 * Spirit: Hello, Donald.
 * Donald: That's me! Where am I?
 * Spirit: Mathamagic Land.
 * Donald: Mathamagic Land, get over who get over.
 * Spirit: It's the land of great adventure.
 * Donald: Now, who are you?
 * Spirit: I'm the Spirit. The true spirit of adventure.
 * Donald: That's for me. What's next?
 * Spirit: A journey through the wonderland of mathematics.
 * Donald: Mathematics? That's for eggheads?
 * Spirit: Egg heads? Now, hold on, Donald. You like music, don't you?
 * Donald: What?
 * Spirit: Now, without eggheads, there would be no music.
 * Donald: Oh!
 * Narrator: Come on. Let's go to Ancient Greece. To the time of pythagoras. The master egghead of them all.
 * Donald: Pythagoras?
 * Spirit: The father of mathematics in music.
 * Donald: Mathematics in music?
 * Spirit: Ah, you'll find mathematics in the artist places. Watch. First, we'll need a string. Stretch it good and tight, plunk it. [Plunking] Now, divide in half, plunk again. You see? It's the same tone, one octave higher. Now divide the next section, and the next. The pythagoras discovered the octave had a rational 2 to 1. With simple fractions, he got this. [Harmony Music Playing] And from this harmony in the numbers developed the musical scale of today. [Music Playing, Breaking]
 * Donald: Oh, goody! You do find mathematics in the goodness gracious.
 * Spirit: You can imagine how excited pythagoras was. When he shared his findings with his pals of fraternity of eggheads, known as the pythagorians. [Whispers] They used to meet in secret to discuss their mathematical discoveries. Only members were allowed to attend. They had a secret emblem: the pentagram. Let's see what the topic is for today. [Harp Music Playing] [Flute Music Playing] [Harp Music Playing] [Music Playing]
 * Donald: What's going on?
 * Spirit: [Whispering] Shh, it's chance secion.
 * Donald: Give us something with a big.
 * Spirit: [Whispering] Shh.

[Music Playing, Bongo Music Playing, Music Playing]
 * Spirit: So, from these eggheads, the pythagorians, with their mathematical formula, came the bases of our music of today. [Cello Music Playing] [Saxophone Music Playing] [Horns Music Playing] [Horns Music Playing, Violin Music Playing] [Trumpet Music Playing] [Horns Music Playing] [Music Playing] [Piano Music Playing] [Violin Music Playing] [Cymbal Crashing] [Tympani Playing] [Cymbal Crashing] [Violin Music Playing] [Cello Music Playing] [Harp Music Playing] [Music Ending]
 * Donald: Oh, thank you, boy! Good, good, yeah! [Sparkling]
 * Donald: Now, I'll be a cod good a chan! [Laughing]
 * Spirit: It was our old friend, pythagoras who discovered that the pentagram was full of mathemagic. The 2 shorter lines combine, exactly equal the third. And this line shows the magic proportions of the famous golden section. The second and third lines exactly equal the fourth. Once again, we have the golden section. But this only the beginning, hidden within the pentagram is a secret for creating a golden rectangle which the Greeks admire for it's beautiful proportions in magic qualities. The star contains the golden rectangle many times over. It's a most remarkable shape. It can mathematically reproduces itself indefinitely. All these rectangles have exactly the same proportions. This figure also contains a magic spiral that repeats the proportions of the golden section into infinity. To the Greeks that golden rectangle represented a mathematical of beauty. We find it in their classical architecture: the parthama. Perhaps one of the most famous of early greek buildings contains many golden rectangles. These same golden proportions are also found in their sculpture. In the centuries that followed, the golden rectangle dominated the idea of beauty in architecture throught the western world. The cathedral of Notre Dame is an outstanding example. The Renaissance painters knew this secret well. Today, the golden rectangle has very much apart of our modern world. Modern painters have rediscovered the magic of proportions. Indeed this ideal proportion is to be found in life itself.
 * Donald: Boy! Oh, boy, oh, boy! This is mathematics! I get mathematical figures like that!
 * Spirit: Uh, uh, uh, Donald.
 * Donald: Let me try it.
 * Spirit: No, no.
 * Donald: Ideal proportion.
 * Spirit: Not quite. Uh-uh. No, I'm afraid not. Well, we can't all be mathematically perfect.
 * Donald: Oh, yeah? [Grunting] There. I knew I can do it.
 * Spirit: Now that you're all bent up in a pentagon, let's see how nature uses it's ame mathematical form. The petunia. The Star Jasmine. The starfish. The wax flower. There are literally thousands of members and good standing, and natures pythagorians suicide of the star. All nature's works have a mathematical logic and her patterns are limitless. The magic proportions of the golden section are often found in the spirals of nature's desings. The prefusion of mathematal forms brings to mind the words of pythagoras. Everything is arranged according to number and mathematical shape. Yes, there is mathematics in music in our art, and just about everything, and as the Greeks had guessed the rules are always the same. Well, Donald, did you enjoy your geometrical journey?
 * Donald: Gee, Mr. Spirit, there's a lot more to mathematics than 2 times 2!
 * Spirit: That's right, Donald. And you can find mathematics in games, too?
 * Donald: Games? Oh, boy!
 * Spirit: Let's begin with the game that's played on squares.
 * Donald: Checkers?
 * Spirit: No. Chess.
 * Donald: Chess?
 * Spirit: A mathematical contest between 2 minds. It's a game that is been enjoyed the centers by Kings and Colliers. In fact, Louis Carol, a famous mathematician the literary mind used chess as a setting for it's classic tale through the looking glass. Alice. Found herself face to face with line to friendly group of chess pieces.
 * Queen: Good heavens, what's this.
 * King: Upon my soul, it appears to be a lost pond!
 * Donald: Ain't no gone! I'm Donald Duck!
 * Queen: He says, "He's Donald Duck!"
 * King: Preposterous.
 * Queen: Or it could be an Alice.
 * Donald: Alice?
 * King: No, no, no! It's a lost pon!
 * Queen: Lost pon! Stop that pon!
 * Donald: Hey, Mr. Stewart! Help, help, help! [Banging] [Donald looks at "Hurry. Eat One.", but Donald eats one treat and growing bigger]
 * Donald: Oh, there. Could that much good.
 * Spirit: Now you can look at this game from a safer prespective. Chess is a game of calculated strategy. And since the board is geometrical, the moves are mathematical. Checkmate, and the game is over.
 * Donald: That's really is good game. What's next?
 * Spirit: Pratically, all games are played on geometrical areas. The baseball field is a diamond.
 * Donald: Oh, boy!
 * Spirit: And without mathematics, we couldn't ever keep score. Football is played on a rectangle divided by yardlines. Basketball is game of circles, spheres, and rectangle. Even hopscotch has it's multiple squares.
 * Donald: What's next? [Licking] Can I play lakes?
 * Spirit: No. A mathematical game played on a field of 2 perfect squares using 3 perfect spheres and a lot of diamonds. Another worth, billiards.
 * Donald: Oh, boy! That's for me!
 * Spirit: You know the game, don't you, Donald?
 * Donald: Of course! The cue ball has to got for you balls, like this!
 * Spirit: Now, let's see how an expert of 3 cushion billiards uses his head.
 * Donald: Free cushion?
 * Spirit: Yes. The cue ball not only has to hit both the other balls, but it must contact that these 3 cushion hard hits the final ball. 1, 2, 3. [Repeating] 1, 2, 3. It takes an expert to make several shots of succession. 1, 2, 3, 4, 5, 6.
 * Donald: Wow! That was a luck good shot!
 * Spirit: Luck? No. It's skill. For this game, you have to know all the angles.
 * Donald: 1, 2, 3, 4, 5, 6, 7! That's amazing! How's it going?
 * Spirit: First, there's technique. He's striking the cue ball low, so it'll spin backwards. Hitting the ball on the right side, it will make it tug the rail. These trick shots take a lot of practice.
 * Donald: [Laughing] He missed me! [Laughing]
 * Spirit: 1, 2, 3.
 * Donald: That's for mathematical get!
 * Spirit: Know this game takes precise calculation. He figures out how each shot and his hit. He could play it like this, be it cause a quite of bit of luck. There is a better choice. For this, he uses the diamond markings on the rail as a mathematical guide. First he figures the natural angle for hitting the object balls, and then he finds at his cue ball must bounce off the number 3 diamond. Next, he gets ready for the shot and he needs the number for his cue position. This cause for a different set of numbers.
 * Donald: Holy confusion! This is that!
 * Spirit: Not when you get the hang of it. You see the cue position is 4. Now simple subtraction: 3 from 4 is 1. So he shoots for the first diamond. He shoot naked. It's called playing the diamond system. Natural angle 2. Cue position. 1 and a half 2, 2 and a half 3, 3 and a half. 2 from 3 and a half is 1 and a half. So, shoot halfway between the first and second diamonds.
 * Donald: Guess let me too! Let me try! Let's see now. If I figure see now, and about see now, and no, here. If I go from here, 4 and a half minus 3. 3 and a half plus 4 and I take 2 and get, now. Find it through 2 and throught it now. I guess that's should 2 miles here.
 * Spirit: No, no, Donald. There's no guess where to mathematics. It's quite simple. Natural angle for the hit. 2. Cue position. 3 and a half. How much is 3 and a half minus 2?
 * Donald: Uh, 1 and a half! Hey! It works! Oh, boy! If I see itch! If I hit it here, 3 and a half plus 4. 2. 4 and a half minus 3 and a half. [Thinking]
 * Spirit: You're making it tough for yourself, Donald.
 * Donald: How do you like that for mathematics, Mr. Spirit?
 * Spirit: Wonderful, Donald. And now you're ready for the most exciting game of all.
 * Donald: Oh, boy!
 * Spirit: And the playing field for this game is in the mind. Uh-oh. Look at the condition of your mind! "Antiquated Ideas. Bungling. False Concepts. Superstitions. Confusion." Do think straight have to clean house. There. That's more like it. A nice cleansweet! This game is played with circles and triangles. Think of a perfect circle. A perfect circle. Perfect circle. Perfect. Uh, put a triangle inside, and turn it. Now, spin the circle and what have you got.
 * Donald: A ball!
 * Spirit: Yes, a sphere. The shape of things is first discovered in the mind. Slice off the top, and we have a...
 * Donald: A magnifying glass!
 * Spirit: That's right. A lens is a section of a sphere. All optical instruments are created through mathematics. You see, there's a lot more to mathematics than just numbers and equations. [Camera Snapping] Let's get back to our circle and triangle. Roll it, and we have a...
 * Donald: Uh-- A wheel! [Transforms into Wheelbarrow, Car, and Train]
 * Spirit: The circle has been the bases for many of man's important adventures. [Transforms To Planes] The mind can create the most amazing things. If we spin the triangle, we have a--
 * Donald: Cone!
 * Spirit: Slice the cone. The cone is full of useful mathematical shapes. Slice it again. Slice it several a times. The orbits of all planets and sadlights can be found in the cone. No matter how you slice it, it's always mathematics. A slice like this, gives us the reflector of a searchlight. A slice like this, the mirror of a giant telescope. A line on the cone, and we have a drill. And a spring. [Spring Hopping] Now, you're ticking.
 * Telephone: Number, please.
 * Spirit: [Record Music Playing, Drums Music Playing] The mind is the birth place for all of many scientific achievements. The mind knows no limits when use properly. Think of a pentagram, Donald. Now, put another inside, a third, and a fourth. No pencil is sharp enough to draw us fine as you can think. And no paper large enough to hold your imagination. In fact, we use only in the minds that we can see infinity. Mathematical thinking has opened the doors to the exciting adventures of science.
 * Donald: I'll be going door! I've been seen so many doors before.
 * Spirit: Each discovery leads to many others, and endless chain.
 * Donald: Hey! Hey! What's the matter with these doors? Hey! These doors won't open! Good luck!
 * Spirit: Of course, they are. These are the doors of the future, and the key is--
 * Donald: Mathematics!
 * Spirit: Right. Mathematics. The boundless treasures of science are locked behind those doors. In time, they will be open by the curious and acquiring minds of future generations. In the words of Galileo, mathematics is the alphabet with which god has written the universe.

Characters

 * Donald Duck
 * Mr. Spirit, the Narrator
 * Mona Lisa
 * Alice Disguise
 * Queen Chess Piece
 * King Chess Piece
 * Horse Chess Piece

Shapes

 * Circle
 * Triangle
 * Square
 * Rectangle
 * Pentagram
 * Pentagon