Naslov
Mathematical concepts in graphics of M. C. Escher

Autori
Matotek, Josipa ; Stipančić-Klaić, Ivanka

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, stručni

Izvornik
ABSTRACTS / Tomislav Došlić, Ema Jurkin - : Hrvatsko društvo za geometriju i grafiku, 2012

Skup
16th Scientific-Professional Colloquium on Geometry and Graphics

Mjesto i datum
Baška, Hrvatska, 09.09.2012. - 13.09.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
tessalation; symmetry groups; polyhedra; impossible figue ras; non- Euclidian geometry; projective geometry; eternity; duali ty

Sažetak
This article is inspired by Dutch graphic artist M. C. Escher and his works. Although he had no formal mathematical education, this famous and established artist used in his work some mathematical ideas as well as some mathematical concepts and properties, such as infinity and the problem of tessellations. In his woodcuts, which are also very popular, he displays elaborate concern about pattern and symmetry. He discovered and made illustrations for tilings for 17 symmetry groups in plane. While studying symmetry, he contacted the great Hungarian mathematician Polya, who influenced him immensely. The regular solids also held a special interest for him. Penrose and Coxeter, two great mathematicians he cooperated with, also made a great impact on his work. The relationship between Escher and the mathematicians were reciprocal since his works served as an inspiration for some mathematical research.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA