Quotes from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Geometry is 'number in space', music is 'number in time'.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“In a seven-tone scale the eighth note is the octave, twice the pitch of the first note, and so signals the movement to a new level. This may be why, in religious symbolism, the eighth step is often associated with spiritual evolution or salvation.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Islamic patterns speak of infinity and the omnipresent center.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Ludwig Schlafi (1814-1895) proved that there are six regular four-dimensional polytopes (generalisations of polyhedra): the 5-cell made of tetrahedra, the 8-cell or tesseract made of cubes, the 16-cell made of tetrahedra, the 24-cell made of octahedra, the 120-cell made of dodecahedra, and the 600-cell made of tetrahedra.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Many familiar objects from cassettes to credit cards and Georgian front doors are Phi (1.618...) rectangles.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“When one circle is drawn over another like this so that they pass through each others' centers, then an important almond shape, the vesica piscis, literally 'fish's bladder' is formed. It is one of the first things that circles can do. Christ is often depicted inside a vesica.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“The dodecagon is also made from six squares and six equilateral triangles fitted around a hexagon”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Twelve is the number which fits around one in three dimensions in the same way that six fits around one in two dimensions. The New Testament is a story of a teacher surrounded by twelve disciples.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Ten is formed from two pentagons and ten life-invoking pentagons sit perfectly arpund a decagon, and DNA, appropriately as the key to the reproduction of life, has ten steps for each turn of its double helix, so appears in cross-section as a tenfold rosette.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Eleven is important as the first number that allows us to begin to comprehend the measure of a circle. This is because, for practical purposes, a circle measuring seven across will measure eleven halfway around.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“Venus draws a fivefold pattern around Earth every eight years allowing us to draw an amazing diagram. In those eight years there are almost exactly 99 full moons, nine elevens, the number of names or reflections of Allah in Islam. Jupiter draws a beautiful elevenfold pattern around Earth.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“The ancient Maya were superb stargazers. Their calendar synchronized not just the Sun and Moon, byt also Venus and Mars. They worked out that 81 (or 3X3X3X3) full moons occur exactly every 2,392 (or 8X13X23) days, an astonishingly accurate gearing.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

“The ancients were obsessed with measures, and the number eleven is central in their metrological scheme. Shown opposite is the extraordinary fact that the size of the Moon relates to the size of the Earth as does three to eleven. What this means is that if we draw down the Moon to the Earth, as shown, then a heavenly circle through the moon will have a circumference equal to the perimeter of a square around the Earth. This is called 'squaring the circle'. Quite how the old druids worked this out we may never know, but they clearly did, for the Moon and the Earth are best measured in miles, as shown. A double rainbow also magically squares the circle.”
― quote from Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Popular quotes

“The liquor, that is, the rye, was all about the same: most people bought drug store rye on prescriptions (the physicians who were club members saved 'scrips' for their patients), and cut it with alcohol and colored water. It was not poisonous, and it got you tight, which was all that was required of it and all that could be said for it.”
― John O'Hara, quote from Appointment in Samarra

“But there I was, surrendering to a most extraordinary call from the grave, the mass-grave-to-be of Europe, as if somewhere ahead lay an iron gateway, slightly ajar, leading to a low and sombre country, with an incalculable crowd on sides eager to pass into it, and bearing me along.”
― Thomas Pynchon, quote from Against the Day

“Or maybe that wasn't the time it snowed. Maybe it was the time we slept in the truck and I rolled over on the bunnies and flattened them. It doesn't matter. What's important for me to remember now is that early the next morning the snow was melted off the windshield and the daylight woke me up. A mist covered everything and, with the sunshine, was beginning to grow sharp and strange. The bunnies weren't a problem yet, or they'd already been a problem and were already forgotten, and there was nothing on my mind. I felt the beauty of the morning. I could understand how a drowning man might suddenly feel a deep thirst being quenched. Or how a slave might become a friend to his master.”
― Denis Johnson, quote from Jesus' Son

“And that, my dear children, is the moral of this chapter. I did not mean it to have a moral, but morals are nasty forward beings, and will keep putting in their oars where they are not wanted. And since the moral has crept in, quite against my wishes, you might as well think of it....”
― E. Nesbit, quote from Five Children and It

“It was a scary thought. A man could be surrounded by poetry reading and not know it.”
― Richard Russo, quote from Nobody's Fool

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