Titlebook: Looking at Numbers; Tom Johnson,Franck Jedrzejewski Book 2014 Springer Basel 2014 nature.platonic.symmetry

同步信息

(9,4,3),ugh that one should be able to see how it works, and since by definition each pair occurs three times in three different blocks of four, all that is necessary is to write out the 36 pairs and connect each pair with the three other pairs that form one of the 18 blocks of the system. I could imagine a

提名

起草

Loops,, but I’ve written an awful lot of musical loops, and there are a great many ways of doing this. Most of the loops we’ll be discussing here might better be called “rhythmic canons”, a term introduced in . in 1991-1992 in an article by the Rumanian mathematician and music theorist Dan Tudor Vuza. Bas

WAG

Juggling,s in the most obvious ways. After learning to throw three balls, keeping each one in the air for three beats, jugglers went on to four balls, keeping each one in the air for four beats, and then on to higher and higher throws with more and more balls or plates or bowling pins or whatever. The result

GUISE

弹药

Entropion

Book 2014 patterns he finds while “looking at numbers” can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski..​.

BOAST

Tom Johnson,Franck JedrzejewskiMathematics and music from a platonic point of view.Numbers as Pythagoras might have seen them.Numbers producing images and music too ?.Includes supplementary material:

Atheroma

http://image.papertrans.cn/l/image/588628.jpg

Goblet-Cells

Permutations,mber in one of these drawings represents a particular note in a particular composition, but all the numbers here represent a particular point in some sort of logical sequence, in some system of permutations or combinations, in some network of sets and subsets.