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Have you ever come across an oddly stretched image on the sidewalk, only to find that it looks remarkably realistic if you stand in exactly the right spot? These sidewalk illusions employ a technique called anamorphosis — a special case of perspective art where artists represent 3D views on 2D surfaces. So how is it done? Fumiko Futamura traces the history and mathematics of perspective.

Lesson by Fumiko Futamura, animation by TED-Ed.

23件のコメント

  1. The painting of Mona Lisa by Leonado Da Vinci is a best example of this!!!!
    I think the most mysterious thing existing in the universe.

  2. 2 Peter 1:16.   For we did not follow cleverly devised stories when we told you about the coming of our Lord Jesus Christ in power, but we were eyewitnesses of his majesty.

    I was an atheist till I was 28 years old. That was last year. God has helped me when it was bad. When you see signs and wonders, experience miraculous healings, read God's Word with the quidance of The Holy Spirit, maintain a relationship with The Lord, hear other testimonies, witness Catholic Exorcism and experience similar things then you know the Truth that the reality truly is that there is an Almighty Living God and the Scriptures is truly God's Word. God is a loving Father.

    John 1:14 The Word became flesh and made His dwelling among us. We have seen His glory, the glory of the one and only Son from the Father, full of grace and truth.

    John 14:6 Jesus answered, "I am the way and the truth and the life. No one comes to the Father except through me

    John 11:25 Jesus said to her, "I am the resurrection and the life. He who believes in Me will live, even though he dies.

  3. What would the world be like today if Leonardo da Vinci had never existed?

  4. FIRST VIOLATION OF THE LAW OF CONSERVATION OF ENERGY (MECHANICAL VERSION)
    ———————————————
    ANSWER THE TWO SIMPLE QUESTIONS BELOW.
    ———————————————
    ASKING OUR TWO SIMPLE QUESTIONS FOR THE 5TH TIME.
    ——————————————–
    1) Consider carefully and thoroughly (and many times!) the link https://www.youtube.com/watch?v=xX14NK8GrDY .
    ——————————————–
    2) Having in mind the link https://www.youtube.com/watch?v=xX14NK8GrDY assume that:
    a) Ma = 1 kg;
    b) Mb = 4 kg; the value of Mb can be either increased or decreased as many times as you want;
    c) V1 = 1m/s = const;
    d) Ffr. = force of friction inside the zigzag channels = 0.0000001 N; the latter can be further decreased as many times as you want;
    e) N = number of zigzags = 10; the value of N can be either increased or decreased as many times as you want;
    f) Shapes of the zigzags = sinusoids; the latter can be replaced by any other curve patterns.
    ——————————————–
    3) It is evident that if V2 = 0.6 m/s and if V3 = 0.1 m/s, then (a) the law of conservation of linear momentum is valid and (b) the law of conservation of mechanical energy is invalid.
    ——————————————–
    4) It is evident that if V2 = 0.8 m/s and if V3 = 0.3 m/s, then (a) the law of conservation of linear momentum is invalid and (b) the law of conservation of mechanical energy is valid.
    ——————————————–
    5) It is evident that both (a) the law of conservation of linear momentum and (b) the law of conservation of mechanical energy are invalid simultaneously in this special particular zigzag case, which is described in the link https://www.youtube.com/watch?v=xX14NK8GrDY .
    ——————————————–
    SO ANSWER THE TWO SIMPLE QUESTIONS BELOW.
    ——————————————–
    QUESTION 1: V2 = ? (How many meters per second is V2 equal to?)
    QUESTION 2: V3 = ? (How many meters per second is V3 equal to?)
    ——————————————–
    LOOKING FORWARD TO YOUR TWO ANSWERS FOR THE 5TH TIME.
    ===============================
    ===============================
    ===============================
    ===============================
    ===============================
    ===============================
    SECOND VIOLATION OF THE LAW OF CONSERVATION OF ENERGY (ELECTRIC VERSION)
    ————————————————————
    ANSWER THE FOUR SIMPLE QUESTIONS BELOW.
    ———————————————————-
    LOOKING FORWARD TO YOUR FOUR ANSWERS FOR THE 5TH TIME.
    ———————————————————–
    1) Consider carefully and thoroughly (and many times!) the link https://www.youtube.com/watch?v=BAydFMDKj2Y
    ——————————————————–
    2) Having in mind the link https://www.youtube.com/watch?v=BAydFMDKj2Y answer the four simple questions below.
    ——————————————————–
    QUESTION 1: What is the value of the electric energy, which is consumed by the electrolyte, that is, how many Joules of electric energy does the electrolyte consume?
    QUESTION 2: What is the value of the Joule's heat, which is generated by the electrolyte, that is, how many Joules of Joule's heat does the electrolyte generate?
    QUESTION 3: What is the mass of the released hydrogen, that is, how many kilograms of hydrogen does the electrolyte release while electrolysis takes place?
    QUESTION 4: What is the value of the heat, which is generated by burning/exploding of the released hydrogen, that is, how many Joules of heat is generated by burning/exploding of the released hydrogen?
    ——————————————————–
    ANSWER THE FOUR SIMPLE QUESTIONS ABOVE.
    LOOKING FORWARD TO YOUR FOUR ANSWERS FOR THE 5TH TIME.

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