Mirror-Curves and Knot Mosaics

Inspired by the paper on quantum knots and knot mosaics [23] and grid diagrams (or arc presentations), used extensively in the computations of Heegaard-Floer knot homology [2,3,7,24], we construct the more concise representation of knot mosaics and grid diagrams via mirror-curves. Tame knot theory is equivalent to knot mosaics [23], mirror-curves, and grid diagrams [3,7,22,24]. Hence, we introduce codes for mirror-curves treated as knot or link diagrams placed in rectangular square grids, suitable for software implementation. We provide tables of minimal mirror-curve codes for knots and links obtained from rectangular grids of size 3x3 and px2 (p<5), and describe an efficient algorithm for computing the Kauffman bracket and L-polynomials [18,19,20] directly from mirror-curve representations

HERSUS [Commendation at 44th Salon of Architecture]

HERSUS (Enhancing of Heritage Awareness and Sustainability of Built Environment in Architectural and Urban Design Higher Education) is Erasmus + Strategic Partnerships for higher education which brings together five Universities from Serbia, Italy, Cyprus, Greece, and Spain working together on the design and development of the courses while disseminating knowledge through international training courses, workshops, and a jointly built Sharing Platform

HERSUS Sharing Platform [Commendation at 44th Salon of Architecture]

The HERSUS Sharing Platform is a digital platform for researchers and students conceived as an educational tool and archive of resources around the topics of sustainability and heritage awareness in architecture and urban design. The platform has been designed and developed as a source of reference and inspiration to refer to when doing research in the fields that the HERSUS project aims to investigate. In the platform, links are created between apparently distant subjects, showing underlying narratives, connections and overlappings that bring contents together on different levels

Open House Seville - Exhibition

On 11 May 2023, in the framework of the USE HERSUS Event series, the USE OPEN HOUSE activity of the international HERSUS project took place. The Open House was organized in a form of exhibition which consists of three parts: (1) RESULTS OF THE HERSUS STUDENT WORKSHOPS (The brief preview of the Syllabuses and Student Results – research and designs), (2) AWARDED PROPOSALS OF THE HERSUS PRIZE ON MODERN HERITAGE (The awarded, finalist and shortlisted proposals for each of 4 categories – Edu- cation Students, Education Instructors, Practice, and Research), and (3) PRESENTATION OF HERSUS INTELLECTUAL OUTPUTS AND OTHER ACTIVITIES (Timeline of the HERSUS Intellectual outputs followed by presenta- tion of organized events and main achievements including HERSUS in numbers presentation) The exhibition was held at the LOBBY OF THE USE SCHOOL OF ARCHITECTURE ETSAS with participation and interest of local students, academics, and representatives from practice. Moreover, USE Team organized School tour for all HERSUS Partners and exhibition visitors in order to introduce the school profile and student life.HERSUS Consortium Vladan Djokić, Ana Radivojević, Ana Nikezić, Jelena Živković, Nataša Ćuković Ignjatović, Milica Milojević, Jelena Ristić Trajković, Aleksandra Milovanović, Aleksandra Djordjević, Mladen Pešić, Ana Zorić, Bojana Zeković, Tamara Popović, Nevena Lukić, Emanuela Sorbo, Enrico Anguillari, Sofia Tonello, Irene Sgarro,Maria Philokyprou, Aimilios Michael, Andreas Savvides, Panayiota Pyla, Odysseas Kontovourkis, Stavroula Thravalou, Maria Nodaraki, Theodora Hadjipetrou, Konstantinos Sakantamis, Alkmini Paka, Kleoniki Axarli, Maria Doussi, Angeliki Chatzidimitriou, Sofoklis Kotsopoulos, Mar Loren-Méndez, José Peral López, Enrique Larive, Julia Rey, Marta García de Casasola Gómez, María Carrascal, Daniel Pinzón-Ayala, María Álvarez de los Corrales, Roberto Alonso-Jiménez. Учесници: Архитектонски факултет, Универзитет у Београду (Србија), IUAV University of Venice (Италија), University of Cyprus (Кипар), Aristotle University of Thessaloniki (Грчка), и University of Seville – UNESCO Chair on Built Urban Heritage CREhAR in the digital era (Шпанија)

Hersus пројекат и дигитална платформа дељења (2020–2023) [65. Међународни сајам технике и техничких достигнућа]

HERSUS je Erasmus + стратешко партнерство које окупља пет универзитета из Србије, Италије, Кипра, Грчке и Шпаније који заједно раде на дизајну и развоју иновативних интелектуалних исхода и изградњи дигиталне платформу дељења. HERSUS платформа дељења је дигитална платформа за истраживаче и студенте замишљена као архива ресурса о темама одрживости и свести о наслеђу у архитектури и урбанизму. У платформи се стварају везе између наизглед удаљених тема, показујући основне наративе, везе и преклапања која се налазе на различитим просторним и друштвеним нивоима.Учесници: Архитектонски факултет, Универзитет у Београду (Србија), IUAV University of Venice (Италија), University of Cyprus (Кипар), Aristotle University of Thessaloniki (Грчка), и University of Seville – UNESCO Chair on Built Urban Heritage CREhAR in the digital era (Шпанија). HERSUS Consortium Vladan Djokić, Ana Radivojević, Ana Nikezić, Jelena Živković, Nataša Ćuković Ignjatović, Milica Milojević, Jelena Ristić Trajković, Aleksandra Milovanović, Aleksandra Djordjević, Mladen Pešić, Ana Zorić, Bojana Zeković, Tamara Popović, Nevena Lukić, Emanuela Sorbo, Enrico Anguillari, Sofia Tonello, Irene Sgarro,Maria Philokyprou, Aimilios Michael, Andreas Savvides, Panayiota Pyla, Odysseas Kontovourkis, Stavroula Thravalou, Maria Nodaraki, Theodora Hadjipetrou, Konstantinos Sakantamis, Alkmini Paka, Kleoniki Axarli, Maria Doussi, Angeliki Chatzidimitriou, Sofoklis Kotsopoulos, Mar Loren-Méndez, José Peral López, Enrique Larive, Julia Rey, Marta García de Casasola Gómez, María Carrascal, Daniel Pinzón-Ayala, María Álvarez de los Corrales, Roberto Alonso-Jiménez (2022)

Open House Venice - Exhibition

On 1 APRIL 2023, in the framework of the IUAV OPEN DAY, the Iuav OPEN HOUSE activity of the international HERSUS project took place. For the occasion, the area dedicated to the University's Master's and Bachelor's degree courses in Architecture hosted Hersus POSTERS, DIGITAL MATERIALS AND POSTCARDS for the presentation of the 4 published Intellectual Outputs (01: Review of the Best Practices on Educating Sustainability and Heritage, 02: Questionnaire for the State of Art, 03: Statements for Teaching through Design for Sustainability of the Built Environment and Heritage Awareness, 04: HERSUS Sharing Platform), the 3 International Workshops (C2: Student Workshop 1: Sustainable Reconstruction in Urban Areas; C3: Student Workshop 2: Adaptive Reuse; C4: Student Workshop 3: Resilience and Climate Change) and the dissemination activities of the project, such as international conferences (C1: Seminar for Teachers: Teaching through design for Sustainability of the Built Environment and Heritage Awareness; E1: HERSUS Intro Presentation; E2: Presentation of the professional profile) and awards (HERSUS International Prize on Modern Built Heritage). At the event participated MORE THAN 1.250 PEOPLE, including students, parents and teachers from secondary schools and first and second-level university cycles.HERSUS Consortium Vladan Djokić, Ana Radivojević, Ana Nikezić, Jelena Živković, Nataša Ćuković Ignjatović, Milica Milojević, Jelena Ristić Trajković, Aleksandra Milovanović, Aleksandra Djordjević, Mladen Pešić, Ana Zorić, Bojana Zeković, Tamara Popović, Nevena Lukić, Emanuela Sorbo, Enrico Anguillari, Sofia Tonello, Irene Sgarro,Maria Philokyprou, Aimilios Michael, Andreas Savvides, Panayiota Pyla, Odysseas Kontovourkis, Stavroula Thravalou, Maria Nodaraki, Theodora Hadjipetrou, Konstantinos Sakantamis, Alkmini Paka, Kleoniki Axarli, Maria Doussi, Angeliki Chatzidimitriou, Sofoklis Kotsopoulos, Mar Loren-Méndez, José Peral López, Enrique Larive, Julia Rey, Marta García de Casasola Gómez, María Carrascal, Daniel Pinzón-Ayala, María Álvarez de los Corrales, Roberto Alonso-Jiménez. Учесници: Архитектонски факултет, Универзитет у Београду (Србија), IUAV University of Venice (Италија), University of Cyprus (Кипар), Aristotle University of Thessaloniki (Грчка), и University of Seville – UNESCO Chair on Built Urban Heritage CREhAR in the digital era (Шпанија)

Open House Thessaloniki - Exhibition

HERSUS Project Open House in Thessaloniki took place from the 8th till the 16th of June 2023 with an exhibition open to the public at the Centre for Architecture of the Municipality of Thessaloniki. The exhibition presented the activities and results of HERSUS Project, including six Intelectual Outputs, three International Student Workshops, awarded projects with Prize on Modern Built Heritage, as well as HERSUS international presence and media projection. The HERSUS project proposes enhancing and testing of innovative teaching practices in the field of sustainability of the built heritage and strives to enhance the competence and motivation of educators and researchers to include curricula elements that will have tangible results, preparing students and educators to become real actors of the environmental change.HERSUS Consortium Vladan Djokić, Ana Radivojević, Ana Nikezić, Jelena Živković, Nataša Ćuković Ignjatović, Milica Milojević, Jelena Ristić Trajković, Aleksandra Milovanović, Aleksandra Djordjević, Mladen Pešić, Ana Zorić, Bojana Zeković, Tamara Popović, Nevena Lukić, Emanuela Sorbo, Enrico Anguillari, Sofia Tonello, Irene Sgarro,Maria Philokyprou, Aimilios Michael, Andreas Savvides, Panayiota Pyla, Odysseas Kontovourkis, Stavroula Thravalou, Maria Nodaraki, Theodora Hadjipetrou, Konstantinos Sakantamis, Alkmini Paka, Kleoniki Axarli, Maria Doussi, Angeliki Chatzidimitriou, Sofoklis Kotsopoulos, Mar Loren-Méndez, José Peral López, Enrique Larive, Julia Rey, Marta García de Casasola Gómez, María Carrascal, Daniel Pinzón-Ayala, María Álvarez de los Corrales, Roberto Alonso-Jiménez. Учесници: Архитектонски факултет, Универзитет у Београду (Србија), IUAV University of Venice (Италија), University of Cyprus (Кипар), Aristotle University of Thessaloniki (Грчка), и University of Seville – UNESCO Chair on Built Urban Heritage CREhAR in the digital era (Шпанија)

Open House Nicosia - Exhibition

The UCY HERSUS OPEN HOUSE activity of the International HERSUS project took place at the Department of Architecture of the University of Cyprus (UCy) on June 7th. The exhibition presented the activities and results of HERSUS Project, including (1) Presentation of HERSUS Intellectual Outputs (01: Review of the Best Practices on Educating Sustainability and Heritage, 02: Questionnaire for the State of Art, 03: Statements for Teaching through Design for Sustainability of the Built Environment and Heritage Awareness, 04: HERSUS Sharing Platform) and other activities (timeline of the Hersus outputs, main achievements etc), (2) Results of the three International HERSUS Student Workshops (C2: Student Workshop 1: Sustainable Reconstruction in Urban Areas; C3: Student Workshop 2: Adaptive Reuse; C4: Student Workshop 3: Resilience and Climate Change), (3) Awarded projects of the HERSUS Prize on Modern Built Heritage (awarded finalist and shortlisted proposals for each of the four categories – Education Students, Education Instructors, Practice and Research). The exhibition was held at the Lobby of the UCY Department of Architecture at the same time as the students’ final projects exhibition for the academic year 2022-2023. The event was well attended, with participation and interest by students and faculty, as well as representatives from various municipalities, public entities and of course from practice. Moreover, introductory keynotes for the event were delivered by the university’s Vice-Rector of Academic Affairs, the Vice- Dean of the School of Engineering, the president of the Cyprus Scientific and Technical Chamber, the president of the Cyprus Architects Association and last but by no means least, the UCY Hersus coordinator

HERSUS Project and Digital sharing platform [1st prize, 31. International Urban Planners' Exhibition]

ХЕРСУС (Јачање свести о наслеђу и одрживости грађене средине у високошколском образовању у домену архитектонског и урбанистичког пројектовања) је Еразмус+ стратешко партнерство за високо образовање које окупља пет универзитета из Србије, Италије, Кипра, Грчке и Шпаније који заједно раде на дизајну и развоју курсева уз дисеминацију знања кроз семинаре, радионице и заједнички изграђену платформу дељења. ХЕРСУС платформа дељења је дигитална платформа за истраживаче и студенте замишљена као образовно средство и архива ресурса о темама одрживости и свести о наслеђу у архитектури и урбанизму. Платформа је дизајнирана и развијена као извор референци и инспирације када се ради о истраживањима у областима које пројекат ХЕРСУС има за циљ да истражи. У платформи се стварају везе између наизглед удаљених тема, показујући основне наративе, везе и преклапања која спајају садржаје на различитим просторним и друштвеним нивоима.HERSUS (Enhancing of Heritage Awareness and SustainaЬility of Built Environment in Architectural and Urban Design Higher Education) is Erasmus + Strategic Partnerships for higher education which brings together five Universities from SerЬia, ltaly, Cyprus, Greece, and Spain working together оп the design and development of the courses while disseminating knowledge through international training courses, workshops, and а jointly built Sharing Platform. The HERSUS Sharing Platform is а digital platform for researchers and students conceived as ап educational tool and archive of resources around the topics of sustainaЬility and heritage awareness in architecture and urban design. The platform has been designed and developed as а source of reference and inspiration to refer to when doi ng research in the fields that the HERSUS project aims to investigate. ln the platform, links аге created between apparently distant subjects, showing underlying narratives, connections and overlappings that bring contents together оп different levels.ПРВА НАГРАДА 31. Међународног Салона Урбанизма у категорији Дигиталне технике, дизајн и продукција у урбанизму и архитектури / 1st prize at the 31st International Urban Planners Exhibition in category Digital techniques, design and production in architecture and urbanis

Computation of Gordian distances and H2-Gordian distances of knots

One of the most complicated problems in Knot theory is to compute unknotting number. Hass, Lagarias and Pippenger proved that the unknotting problem is NP hard. In this paper we discuss the question of computing unknotting number from minimal knot diagrams, Bernhard-Jablan Conjecture, unknown knot distances between non-rational knots, and searching for minimal distances by using a graph with weighted edges, which represents knot distances. Since topoizomerazes are enzymes involved in changing crossing of DNA, knot distances can be used to study topoizomerazes actions. In the existing tables of knot smoothing, knots with smoothing number 1 are computed by Abe and Kanenobu [27] for knots with at most n = 9 crossings, and smoothing knot distances are computed by Kanenobu [26] for knots with at most n = 7 crossings. We compute some undecided knot distances 1 from these papers, and extend the computations by computing knots with smoothing number one with at most n = 11 crossings and smoothing knot distances of knots with at most n = 9 crossings. All computations are done in LinKnot, based on Conway notation and non-minimal representations of knots. [Projekat Ministarstva nauke Republike Srbije, br. 174012