For me, this beauty is found in tessellation. But it is much more than this – ask a mathematician which part of maths they find the most intrinsically beautiful and you’ll receive a wide variety of answers, each very individual to the person. At first, it can just seem like they’re referring to the perfection of a nice proof when it comes to its conclusion. You will often hear mathematicians say that maths is beautiful. However, many don’t realise that this beauty is in fact mathematics. Have you ever noticed patterns in the brickwork of the pavement as you’re walking into town? Or in the wallpaper at your grandparents’ house? Or in the quilt on your bed? Most people have at some point in their lives noticed the beauty of the patterns in the world around them. “Triangles are my favourite shape, three points where two lines meet … let’s tessellate” Tessellation, Penrose Tilings and Infinity Harriet Wood was the Student Winner of the 2020 Teddy Rocks Maths Essay CompetitionĪ fantastic piece of writing that not only explained some complex topics in a clear and understandable manner, but also taught me a thing or two! The discussion of the Penrose Tilings in particular is fascinating. St Edmund Hall Association Show submenu for St Edmund Hall Association.Keep in Touch Show submenu for Keep in Touch.Get Involved Show submenu for Get Involved.Support the Hall Show submenu for Support the Hall.Conferences, Meetings and Summer Schools.Weddings, Civil Ceremonies and Receptions.Conferences and Weddings Show submenu for Conferences and Weddings.Oxford Chinese Economy Programme (OXCEP).Global Public Seminars in Comparative and International Education.Conversations in Environmental Sustainability: beyond greenwashing.Explore Teddy Hall Show submenu for Explore Teddy Hall.Creative Writing Show submenu for Creative Writing.Our Community Show submenu for Our Community.College Life Show submenu for College Life.Visiting Students Show submenu for Visiting Students.Postgraduate Study Show submenu for Postgraduate Study.Undergraduate Study Show submenu for Undergraduate Study.Tachi, T.: Introduction to structural origami. Tachi, T.: Rigid folding of periodic origami tessellations. Schenk, M., Guest, S.D.: Origami folding: a structural engineering approach. In: Proceedings of IASS Symposium on Folded Plates and Prismatic Structures, 1970 (1970) Resch, R., Christiansen, H.N.: Kinematic folded plate systems. Nassar, H., Lebée, A., Monasse, L.: Fitting surfaces with the miura tessellation. Nassar, H., Lebée, A., Monasse, L.: Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern. Mukhopadhyay, T., et al.: Programmable stiffness and shape modulation in origami materials: emergence of a distant actuation feature. Miura, K.: Proposition of pseudo-cylindrical concave polyhedral shells. McInerney, J., Chen, B.G.G., Theran, L., Santangelo, C.D., Rocklin, D.Z.: Hidden symmetries generate rigid folding mechanisms in periodic origami. MacKay, R.S.: Renormalisation in Area Preserving Maps. Ma, J., Feng, H., Chen, Y., Hou, D., You, Z., et al.: Folding of tubular waterbomb. American Society of Mechanical Engineers (2021) In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Imada, R., Tachi, T.: Geometry and kinematics of cylindrical waterbomb tessellation. thesis, Clermont Auvergne University (2018) Today 21(3), 241–264 (2018)įeng, H.: Kinematics of spatial linkages and its applications to rigid origami. KeywordsĬallens, S.J., Zadpoor, A.A.: From flat sheets to curved geometries: origami and kirigami approaches. Furthermore, by analyzing the mapping, we give proof of the conservation of the dynamical system. By changing parameters of the mappings and composite them, we generalize the dynamical system of waterbomb tube to that of various tubular origami tessellations and show their oscillating configurations. In this paper, we decompose the dynamical system of waterbomb tube into three steps and represent the one-step using the two kinds of mappings between zigzag polygonal linkages. Although the quasi-periodic behavior is the characteristic of conservative systems, whether the system is conservative has been unknown. Recently, the authors reported that the kinematics of waterbomb tube depends on the discrete dynamical system that arises from the geometric constraints between modules and quasi-periodic solutions of the dynamical system generate oscillating configurations. The oscillation of tubular waterbomb tessellation is one example. Folded surfaces of origami tessellations sometimes exhibit non-trivial behaviors, which have attracted much attention.
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