Truth and Beauty of Math

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Truth and Beauty of Math by Mind Map: Truth and Beauty of Math

1. Beethoven had a distinct mathematical connection to his music. https://www.youtube.com/watch?v=zAxT0mRGuoY

2. Melencolia I

2.1. "The objects she has at hand are associated with geometry and measurement, fields of knowledge that were considered the building blocks of artistic creation and that Dürer studied doggedly in his quest to theorize absolute beauty.  Yet struggle as she might intellectually, she is powerless to transcend the earthbound realm of imagination to attain the higher stages of abstract thought (an idea to which the ladder that extends beyond the image may allude). She is winged but cannot fly. Despairing of the limits of human knowledge, she is paralyzed and unable to create, as the discarded and unused tools suggest. Ironically, this anguished representation of artistic impotence has proved a shining and enduring example of the power of Dürer’s art."

3. "You can’t deny the patterns found in mathematics. All you need to do is list multiplication facts for a certain number, and a structure will jump off the page or computer screen. (Eventually.) Then there are a variety of sequences and series, like Fibonacci’s Sequence (1, 1, 2, 3, 5, 8, 13, …) or a geometric series (like 1 + 2 + 4 + 8 + …). The patterns in poetry are often found in meter and rhyming schemes. So the first line of Shakespeare’s Sonnet 73 is in iambic pentameter: “That time of year thou mayst in me behold.” We know this because it features five two-syllable feet that are expressed as non-stress, stress. (In other words: “That time of year thou mayst in me behold.”) Along with iambic, traditional poetry may follow trochaic, spondaic, anapestic or dactylic meters — but there are endless more styles. Cummings’ “anyone lived in a pretty how town” is generally considered to be a ballad, which, when you know the key that unlocks the poem’s meaning, makes perfect sense." -Laura Laing

4. Golden mean