Symmetry Festival – Sofia 2021

Symmetry Festival 2021 – logo

International Conference, , Exhibitions, Concerts, Public workshops
Symmetry Festival 2021
July 9-12, 2021

Sofia, Bulgaria

Symmetry in Nature and Society

The World’s Largest Multidisciplinary Conference & Art Festival in Symmetry Studies

Conference venue
National Museum “Earth and Man”
Blvd. Cherni Vrah 4; Sofia 1421, Bulgaria

+359 28656639

This is final update on the scientific event. A hybrid type festival is suggested that combines a “live” in-person event with an online component.

Organized by SYMMETRION, under the auspices of the International Symmetry Association.

National organizers: National Museum “Earth and Man”; Bulgarian Academy of Sciences; Bulgarian Mineralogical Society (Symmetry Festival national coordinator: Ruslan I. Kostov,

Scientific and Art Program (oral and poster presentations):

Program for online participants (introduction)

02.07.2021 10.00-11.00 (for online participants in Europe and Asia) and 17.00-18.00 (for online participants in USA)
Optional introductory Zoom meetings for testing system compatibility, internet connection and audio settings (Eastern European Summer Time Zone).



09.00-10.00 Registration

10.00-10.30 Official opening of SF2021 (Central Hall)

10.30-12.30 Oral session (20+5 min.)

Darvas, György (Hungary): What is hypersymmetry? (online)

Smolenov, Hristo (Bulgaria): Ancient measures as codes in a creative space

Kuroda, Reiko (Japan): Cutting edge science reveals the secrets of chiromorphogenesis in snails (online)

Miyazaki, Koji (Japan): Orthographic projections of hyperconics (online)

Petoukhov, Sergey V. (Russia): Symmetries, genetic languages and algebraic harmony in genomes

12.30-13.30 Lunch at the museum

13.30-15.30 Oral session (Art Hall; 12+3 min.)

Javorszky, Karl (Austria). Almost symmetrical subspaces resulting from sequencing natural numbers

Weil, Stephen (France): A timeline of symmetry 1800-2000

Petitjean, Michel (France): Chirality defined: The end of the even/odd paradigm (online)

Everitt, Dave, Fania Raczinski (United Kingdom): Magic square pattern homologies (online)

Gielis, Johan (Belgium), Simone Brasili (Italy): The apeirogon and dual numbers (online)

Chapman, Dominik (Switzerland), Johan Gielis (Belgium): Gielis transformations for the audiovisual geometry database (online)

Bakoev, Valentin (Bulgaria): On symmetry in mathematical identities

Koleva, Kamelia (Bulgaria): The beautiful symmetry of numbers

15.30-16.00 Coffee break

16.00-18.00 Oral/poster session (Art Hall; 12+3 min.)

Gould, Laurence I. (USA): Reflections on similarity and symmetry in poetry & music (online)

Lalvani, Haresh (USA): Pentiles: Discovery and concepts (online)

Fenyvesi, Kristóf (Finland): Lalvani’s pentiles tessellation system at experience workshop’s educational events (online)

He, Matthew (USA): Symmetry and asymmetry in bioinformatics: from genetic code to life (online)

Olsen, Scott (USA): Golden proportional symmetry and the Divided Line: solving the Platonic puzzles in one fell swoop (online)

Dunham, Douglas, Lisa Shier (USA): Creating symmetric art using craft technologies (online)

Dewar, Robert Earl (USA): New members for the class of Penrose nonperiodic tilings of the plane (online)

Chen, Nina (USA): Constructing harmony without a sound – Plato’s Timeaus (online; poster)

Chen, Nina (USA): The beauty of quantized form – Euclid’s irrational lines in the construction of the Platonic solids (online; poster)

18.00-18.30 Conference Hall

Smolenov, Hristo (Bulgaria): The Aurolithic Varna Civilization (29 min.; film on ancient measurements and proportions)

19.00 Welcome Party (Central Hall)


10.00-12.15 Oral session (Art Hall, 12+3 min.)

Sugimoto, Takeshi (Japan): The structure of the Solution Space in the direct and inverse Kepler problems (online)

Vladimirova, Genoveva (Bulgaria): Relation between the Golden Ratio and colours

Gailiunas, Paul (United Kingdom): Asymmetrical motifs in tooled book-bindings (online)

Protokhristova, Cleo, Hristo Protohristov (Bulgaria): Catoptric symmetries and asymmetries – cultural and scientific implications

Yavahchova, Mariya, Dimitar Tonev (Bulgaria): Example for symmetry in nuclear physics

Erbudak, Mehmet (Switzerland/Turkey): Symmetry of planar ornaments in Hellenic through Seljuk Ages (online)

Qureshi, Rabia Ahmed (Pakistan), Sarah Javed Shah (Pakistan), Gary J. Coates (USA): The Baba Hasan Din Shrine by architect Kamil Khan Mumtaz as an archetype of deep symmetry in architecture (online)

Kostov, Ruslan I. (Bulgaria): Symmetry patterns of images on megalithic T-shaped pillars from the prehistoric site Göbekli Tepe in Turkey

Spassova, Zdravka (Bulgaria): Symmetry of stone tile flooring from the Temple Mount in Jerusalem, Israel

12.15-13.45 Lunch at the museum

13.45-15.00 Oral/poster session (12+3 min.)

Doncheva, Stella (Bulgaria): The “Golden Section” in the Medieval Bulgarian architecture (online)

Vladimirova, Genoveva, Ognyan Dimitrov (Bulgaria): The code of the Bulgarian embroidery script

Stefanides, Panagiotis (Greece): Generator polyhedron geometry and relationships with Plato’s Timaeus and Epinomis (online)

Vlahov, Alexander (Bulgaria): Information significance of the volume/surface ratio of the simple forms of the hexoctahedral crystallographic class (poster)

Atanassova, Radostina (Bulgaria): Overview of the types of symmetry in the Bulgarian embroidery (poster)

Boeva, Julia (Bulgaria): Types of symmetry in the embroidery from Sofia Region, Bulgaria (poster)

Stoilov, Dimitar, Genoveva Vladimirova (Bulgaria): Innovative sports car design inspired by the model Manta (poster)

15.00-15.30 Coffee break

15.30-17.30 Symmetry and Music (12+3 min.)

Zenkin, Konstantin V. (Russia): Symmetry as a carrier and keeper of musical information

Petoukhov, Sergey, Elena Petoukhova, Vitaly Svirin, Vladimir Verevkin (Russia): Symmetries, the genetic basis of organisms and musical harmony

Rovenko, Elena (Russia): Translatory symmetry as a constructive basis of the “cyclic principle” in music and architecture in interpretation of Vincent d’Indy

Stanishevskiy, Yaroslav (Russia): Harmonic organization in music: symmetry or asymmetry?

Gaulhiac, Manuel (France): Symmetry of resonance in Almeida Prado’s Cartas Celestas I

Koblyakov, Alexander A. (Russia): Symmetry in the context of transdimensional relations (online)

Stepanyan, Ivan V. (Russia): The genometrica concept (online)

18.00-19.15 Concert (Central Hall)

Zenkin, Konstantin V. (Russia): Piano concert

Mozart, Haydn, Chopin, Liszt, Scriabin, Prokofiev

Bekirska, Boryana (Bulgaria): Viola concert

Music that Brings You to Different Dimensions and Densities – Einaudi, Djavadi, Gundry, Pallett, Britell

20.00 Official Dinner (Restaurant “Hemus”)


10.00-11.00 Symmetry in Education and Computer Applications (Art Hall; 12+3 min.)

Chehlarova, Toni (Bulgaria): Game with center of central symmetry in the plane

Chehlarova, Neda, Toni Chehlarova (Bulgaria): Computer model for self-preparation for playing with dominoes “Axes of Symmetry”

Chehlarova, Toni, Mladen Valkov (Bulgaria): Game with vertical axis of symmetry in a rectangular board

Jones, Kate (USA): Sweet symmetries – A gallery of gamepuzzles – “math as art” (online)

11.00-11.30 Closing of the Scientific Program

Smolenov, Hristo (Bulgaria): Codes in Space (27 min.; film on ancient measurements and proportions)

11.00-17.00 “Family Day” (Central Hall)
Symmetry: Crystals, geometry and more… structures, puzzles and games for children, students and curious adults

– Children’s corner with crystals and mineral games
– Symmetry in crystals and other solids
– Mosaics, games and puzzles
– Sacred geometry
– The graphic art of M. C. Escher

14.00-15.00 ISA General Assembly (Art Hall)


09.00-17.00 Excursion to the Rila Monastery
Harmony between architecture and natural scenery

The Rila Monastery is the largest and most famous Eastern Orthodox monastery in Bulgaria. It was founded in the 10th century by the heavenly protector of the Bulgarians Saint John of Rila after the official adoption of the Christian religion in Bulgaria in 865. During the centuries the monastery was destroyed and abandoned several times. The monastery and its church were rebuilt in the beginning of the 19th century. It became a center of spiritual and cultural life during the Bulgarian National Revival Period. The Hrelyu’s tower is the oldest preserved monument dating from 1335. The main church is decorated with mural paintings and exquisite wood carvings by the best representative of the Samokov, Debar and Bansko-Razlog schools. Since 1983 the Rila Monastery is listed as UNESCO World Heritage Site.



Special Exhibitions at the National Museum “Earth and Man”

Crystals shine with their symmetry! (“Course in Crystallography”, 1891)
E. S. Fedorov (1853-1919)

Symmetry in Crystallography and Mineralogy (1 floor; left)

Minerals in Contemporary Literature (1 floor; left)

Minerals and Gemstones on Stamps (1 floor; right)

Poetry and Gemstones (2 floor; right)

Photo Gallery: Bulgarian Minerals (2 floor; right)

“Secrets of Earth”: natural forms as personal vision for future innovative professional activity (watercolors of students from the National Academy of Art) (1 floor)

Prehistoric Treasures, the Golden Ratio and Units for Measurement: First Gold of Mankind; First Copper Mines in Europe; Standardization of Mineral, Gemstone and Metallic Artifacts (posters; 1 floor; entrance)

Festival Art Exhibitions
At the National Museum “Earth and Man” (Central Hall)

Chehlarova, Koya (Bulgaria): Glassworks “Planet Cuboctahedron” (Central Hall, right)

Michailov, Hristo (Bulgaria): Sculptures (bronze, crystal) “Symmetry” (Central Hall, right)

Mircheva, Svetlana (Bulgaria): “Palm Trees” (Central Hall, right)

Stoilov, Dimitar, Genoveva Vladimirova (Bulgaria): Design “Manta” Model (Central Hall, right)

At the National Gallery Sofia Arsenal – Museum of Contemporary Art (next door)

Mircheva, Svetlana (Bulgaria): “Possible Exhibitions”

International interdisciplinary scientific and art festival – including talks, presentations, workshops, art exhibitions, book shows, concerts, movies, performances and public events.

Planned sessions:

  • Symmetry and natural history
  • Symmetry in physics, chemistry and material science
  • Symmetry in mathematics and informatics
  • Symmetry in architecture, design and visual arts
  • Symmetry in biosciences and medicine
  • Symmetry and culture (archaeology; history; mythology; ethnology; fashion; psychology; linguistics; economics)
  • Symmetry in music, dance, folklore, literature and other arts
  • Symmetry in education and computer applications

Our worldwide symmetry events in the past:

Symmetry Festival 2021 Sofia (

Extended abstracts (4 pages) to be published in the journal of Symmetrion – Symmetry: Culture and Science (for submission of abstracts see here).
Please, submit the extended abstracts to

Keynote speakers and session chairs for the Symmetry Festival 2021:

Matthew He

Prof. Matthew He is Assistant Dean of the Halmos College of Natural Sciences and Oceanography of Nova Southeastern University in Florida. He is an editor of International Journal of Biological Systems, International Journal of Cognitive Informatics and Natural Intelligence, and International Journal of Integrative Biology. He is the book editor of Advances in Bioinformatics and its Applications of World Scientific Publishing. He is a series editor of Biomedical and Life Sciences of Henry Stewart Talk on “Using Bioinformatics in Exploration in Genetic Diversity.” He serves as a member of International Advisory Board of “International Symmetry Association (ISA).

Reiko Kuroda

Prof. Reiko Kuroda is a professor in Chemistry, Spectroscopy, X-ray Crystallography, Molecular Biology and Developmental Biology.

She works in the Institute for Science and Technology Research, Chubu University. She is Professor Emeritus of the University of Tokyo and a member of the Royal Swedish Academy of Sciences.

Haresh Lalvani

Prof. Haresh Lalvani is a sculptor, inventor, architect, designer, morphologist and visual mathematician. He works at the Pratt Institute, New York.

He is also affiliated with The Structural Morphology Group, the International Association of Shell and Space Structures, the Japan Institute of Hyperspace Science.

He was awarded by the Graham Foundation for Advanced Studies in Fine Arts, the National Endowment for the Arts, and the National Institute for Architectural Education, and worked as an artist-in-residence at the Cathedral of St. John the Divine in New York and as the Co-Director of the Center for Experimental Structures at the School of Architecture, Pratt Institute. He is Honorary Member of the International Symmetry Association.

Sergey Petukhov

Prof. Sergey Petukhov works in biophysics and bioinformatics.

He is awarded with Soviet Union State prize (1986). He is head of the Laboratory of Biomechanical Systems of the Mechanical Engineering Research Institute of the Russian Academy of Sciences and a leading researcher at the Centre for Interdisciplinary Research in Musical Creativity of the Moscow State Conservatory. He is Chair of the Advisory Committee of the International Symmetry Association.

Konstantin Zenkin

Prof. Konstantin Zenkin is a Russian pianist and theoretic of music.

He is a Moscow P. I. Tchaikovsky Conservatory’s vice rector for academic studies and an author of a number of books and articles about European music of the 19th -20th centuries, philosophy of music and piano performance art.