Musemathematics

“Numbers it is. All music when you come to think. Two multiplied by two divided by half is twice one. Vibrations: chords those are. One plus two plus six is seven. Do anything you like with figures juggling. Always find out this equal to that. Symmetry under a cemetery wall. He doesn’t see my mourning. Callous: all for his own gut. Musemathematics. And you think you’re listening to the etherial. But suppose you said it like: Martha, seven times nine minus x is thirtyfive thousand. Fall quite flat. It’s on account of the sounds it is.”
– James Joyce from Ulysses

Prof. Dr, Max Bruckner, Four Plates from the Book “Vielecke und Vielflache”, (1900)

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Max Bruckner


Max Bruckner


Max Bruckner


Max Bruckner

Regular convex polyhedra, frequently referenced as “Platonic” solids, are featured prominently in the philosophy of Plato, who spoke about them, rather intuitively, in association to the four classical elements (earth, wind, fire, water… plus ether). However, it was Euclid who actually provided a mathematical description of each solid and found the ratio of the diameter of the circumscribed sphere to the length of the edge and argued that there are no further convex polyhedra than those 5: tetrahedron, hexahedron (also known as the cube), octahedron, dodecahedron and icosahedron.”

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The Netherlands diary

One of six decorative patterns of a knot; round shape of intertwined strapwork with an empty, disc in the centre, in the four corners single knots with ornamental foliage. Woodcut
One of six decorative patterns of a knot; round shape of intertwined strapwork with an empty, disc in the centre, in the four corners single knots with ornamental foliage. Woodcut

Entry from ‘Albrecht Dürer and his Legacy’ BM exh. cat. 2002, no.103:
‘This woodcut design for ornament is one of six ‘knots’, as Dürer referred to them in his Netherlands diary (see Goris and Marlier, p. 81) copied after six engravings of c. 1490-1500 thought to be designed by Leonardo da Vinci

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