Harmonice Mundi (Harmonices mundi libri V) (Latin: The Harmony of the World, 1619) is a book by Johannes Kepler. In the work, written entirely in Latin...

the cosmos as it relates to musical sound. In 1619, Kepler published Harmonices Mundi (literally Harmonies of the World), expanding on the concepts he introduced...

Calkin and Herbert Wilf, but appears in other works including Kepler's Harmonices Mundi. The sequence of rational numbers in a breadth-first traversal of the...

and lutenist. Spiegel's musical interpretation of Johannes Kepler's Harmonices Mundi appeared on "Sounds of Earth" section of the Voyager Golden Record...

referring to what is now called angular velocity.) Johannes Kepler, Harmonices Mundi [The Harmony of the World] (Linz, (Austria): Johann Planck, 1619),...

"augmented dodecahedron to which I have given the name of Echinus" (Harmonices Mundi, Book V, Chapter III — p. 407 in the translation by E. J. Aiton) "These...

Gemma Bertagnolli, Sergio Foresti, Mirko Guadagnini & Isabel Alvarez. Harmonices Mundi, Claudio Astronio. Brilliant 2011 Stradella: Duets - Susanne Rydén...

first systematic mathematical treatment was that of Kepler in his Harmonices Mundi (Latin: The Harmony of the World, 1619). Euclidean tilings are usually...

triangles and 18 squares. It is named by Johannes Kepler in his 1618 Harmonices Mundi, being short for truncated cuboctahedral rhombus, with cuboctahedral...

vertices. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron...

uniform tilings, was already known to Johannes Kepler in his 1619 book Harmonices Mundi. The pattern has long been used in Japanese basketry, where it is called...

of neighboring polygons in a tessellation pattern. In his 1619 work Harmonices Mundi, among periodic tilings, Johannes Kepler includes nonperiodic tilings...

tessellations. He wrote about regular and semiregular tessellations in his Harmonices Mundi; he was possibly the first to explore and to explain the hexagonal...

regular pentagonal faces, 60 vertices, and 120 edges. Johannes Kepler in Harmonices Mundi (1618) named this polyhedron a rhombicosidodecahedron, being short...

slips. Johannes Kepler coined the category semiregular in his book Harmonices Mundi (1619), including the 13 Archimedean solids, two infinite families...

including the truncated icosahedron, and included them in his 1609 book, Harmonices Mundi. Chamfered dodecahedron Chancey, C. C.; O'Brien, M. C. M. (1997). The...

Astronomia nova, Kepler discovered his "third law", published in his 1619 Harmonices Mundi (Harmonies of the world). He found that the ratio of the cube of the...

an n-gonal antiprism is an n-gonal trapezohedron. In his 1619 book Harmonices Mundi, Johannes Kepler observed the existence of the infinite family of antiprisms...

Kepler first named it in Latin as dodecahedron simum in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from either the...

5-fold symmetry. The images show an Islamic geometric pattern (15th century), an illustration in Kepler's Harmonices Mundi (1619) and a Penrose tiling....

deeply influenced western science. It served as the basis for Kepler's harmonices mundi and Leibniz's pre-established harmony. Albert Einstein believed that...

Kepler's views. Kepler wrote and published this work in parallel with his Harmonices Mundi (1619), the last Books V to VII appearing in 1621. Kepler introduced...

Small and great stellated dodecahedron from Harmonices Mundi by Johannes Kepler...

coelestium (1543) to 1835 Johannes Kepler Astronomia nova (1609); Harmonices Mundi (1619); Epitome Astronomiae Copernicanae (1617–21) Sade Justine (1791);...

Midnight GMT; also with an Aspectarian included for years 1900 to 2005 Harmonices mundi ("The Harmony of the Worlds") in fulltext facsimile; Carnegie-Mellon...

Following its attribution with nature by Plato, Johannes Kepler in his Harmonices Mundi sketched each of the Platonic solids, one of them is a cube in which...

laws of planetary motion. Kepler titled his book on the subject Harmonices Mundi (Harmonics of the World), after the Pythagorean teaching that had inspired...

Following its attribution with nature by Plato, Johannes Kepler in his Harmonices Mundi sketched each of the Platonic solids. In his Mysterium Cosmographicum...

headquarters of Festo, Professor Hans Scheurenbrand has constructed the Harmonices Mundi (named after Kepler's book of the same name), which consists of an...

of astronomer Johannes Kepler (1571-1630) who wrote his magnum opus harmonices mundi ("The Harmony of the world") in Linz during the early 17th century...