Tessellations
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Tessellations are patterns that tile a surface without gaps or overlaps using repeating shapes. M.C. Escher used tessellations in his artworks. Regular tessellations only use one regular polygon like squares, while semi-regular tessellations mix polygon shapes. Nature also exhibits tessellations in structures like beehives and snake scales. For a tessellation to work, the interior angles of the component shapes must sum to 360 degrees when arranged around a point.
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Tessellations
Tessellating patterns are repeating designs made of regular polygons that fit together edge-to-edge without gaps or overlaps, where each corner or vertex meets at 360 degrees. Famous artist M.C. Escher often used tessellations in his works, and the document challenges the reader to create their own tessellation pattern.
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You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
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This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.Pengantar Penggunaan Flutter - Dart programming language1.pptx
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ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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Tessellations
- 2. Overview According to Math 4 Kids- Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps. http://www.coolmath4kids.com/tesspag1.html http://upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Wallpaper_group-p3-1.jpg/300px-Wallpaper_group-p3-1.jpg
- 3. M.C. ESCHER M.C. Escher used tessellations in his art. http://3.bp.blogspot.com/_GjYTzeJ9A_Y/SidaI7Fa6UI/AAAAAAAAABc/wx-eSRkKzHk/s400/tess.liz.jpg http://mrcoley.com/art/images/escher03.jpg http://britton.disted.camosun.bc.ca/escher/pegasus.jpg
- 4. Tessellations in Nature Many regular tessellations can be found in nature: Beehive, pineapple, snake skin, etc. http://androidos.in/wp-content/uploads/2011/01/honeycomb.jpg
- 5. Regular Tessellations A regular tessellation is a regular polygon that can tile a flat surface using the same type of polygon. There are only three regular tessellations.
- 6. Semi-Regular Tessellations Semi regular tessellations are a mix of two or more regular polygons to fill a flat plane with no gaps or open spaces. There are eight semi-regular tessellations that tessellate.
- 7. Why do only certain shapes tessellate? Each polygon that can tessellate has an interior angle that can be added with any other polygons’ interior angles. For example, the interior angle of an equilateral triangle is 60o. The interior angle of a 3-3-3- 4-4 quadrilateral is 90o. When a point is picked in this tessellation the surrounding angles all add up to 360o.