Symmetry Quotes - page 4
By the time of his Fourth String Quartet, inversional symmetry had become as fundamental a premise of Bartók's harmonic language as it is of the twelve-tone music of Schoenberg, Berg, and Webern. Neither he nor they ever realized that this connection establishes a profound affinity between them in spite of the stylistic features that so obviously distinguish his music from theirs...Nowhere does he [Bartók] recognize the communality of his harmonic language with that of the twelve-tone composers that is implied in their shared premise of the harmonic equivalence of inversionally symmetrical pitch-class relations.
George Perle
The church and the world alike demand that those who profess to love the Lord should be careful to love their brethren also. It is for them to have in essentials unity, in non-essentials diversity, in all things charity. Only so can the church realize the ideal of its Divine Founder, and foreshadow its future excellence and beauty. Only so can this spiritual structure be celestial and glorious, revealing in all its fair proportions from dome and turret, from glittering spires and airy traceries, its marvelous symmetry and oneness, while at the same time it swells from every organ pipe, and chants in every choral anthem the praises of Him whose essence is love, and whose being is characterized by unity.
John McClellan Holmes
In making the four-channel video work Dachau, my experience as a weaver directly influenced the basic structuring of the work. The content itself was taped in 1974 at the former concentration camp Dachau. The symmetry of the architecture and the present ambience of the space were the focus of the recordings. The past was recorded only insofar as the sounds of the voices of the present commingled with the feeling absorbed in the wood and revealed in the structure of forms which has no amount of time can erase.
Beryl Korot
Humans have various ways of coping with extended stress, and one is the anticipation of a better time. Here, as with retribution, there is often a kind of symmetry: the more intense the stress and the more hopeless the situation, the more fabulous the coming times that are anticipated.
Robert Wright
Beauty depends on size as well as symmetry. No very small animal can be beautiful, for looking at it takes so small a portion of time that the impression of it will be confused. Nor can any very large one, for a whole view of it cannot be had at once, and so there will be no unity and completeness.
Aristotle
Broadly, the proposition holds that all economic systems known to us up to the end of feudalism in Western Europe were organized either on the principle of reciprocity or redistribution, or householding, or some combination of the three. These principles were institutionalized with the help of a social organization which, inter alia, made use of the patterns of symmetry, centricity, and autarchy. In this framework, the orderly production and distribution of goods was secured through a great variety of individual motives disciplined by general principles of behavior. Among these motives gain was not prominent. Custom and law, magic and religion cooperated in inducing the individual to comply with rules of behavior which, eventually, ensured his functioning in the economic system.
Karl Polanyi