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),...

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

"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...

motion in his Harmonices Mundi. He also recognises the duality of convex polyhedra. Publication of the Jesuit Giuseppe Biancani's Sphaera mundi, seu cosmographia...

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

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

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

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

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...

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...

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

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

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

headquarters of Festo, Professor Hans Scheurenbrand has constructed the Harmonices Mundi, an astronomical clock, a world time clock, and a 74 bell glockenspiel...

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...

copied from the Pacioli's work. By around 1620, Johannes Kepler in his Harmonices Mundi had completed the rediscovery of the thirteen polyhedra, as well as...

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

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...

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

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...

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

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...

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

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