I went to Cal Tech yesterday to hear a lecture by the mathematician Dr. Yau. He spoke about his new book, The Shape of Inner Space: String Theory and the Geometry of the Universe’s Hidden Dimensions. We have been covering art and beauty in TOK the last few weeks and one of the important ideas is that mathematics, physics and the arts have a lot in common. Students usually think that the subjects are polar opposites when it comes to our search for truth and knowledge, but from my perspective this is not the case. Dr. Yau used the words beauty, elegance and intuition numerous times during his lecture. These words are often associated with the arts and not mathematics. He spoke of the beauty and elegance of Calabi-Yau Manifolds which he help develop and the spark of intuition that led him to his discoveries. Below is a beautiful picture of a Calabi-Yau Manifold.