godišnjak / yearbook 2013/2014
Kabinet za matematiku, nacrtnu geometriju i perspektivu / section of Mathematics, descriptive geometry and perspective Voditelj / Head of section: dr.sc. Marija Šimić Horvath, doc. docent / Assistant Professor: dr.sc. Marija Šimić Horvath viši predavači / senior lecturers: mr.sc. Božica Hajsig, Zlatko Klanac, mr.sc. Nikoleta Sudeta Asistent / teaching assistant: Gordana Aras-Gazić Demonstratori / student assistants: David Ceilinger, Helena Ferkula, Luka Jecić, Andrea Mušić, Karlo Seitz, Matija Solomun
Arhitektonski fakultet, sveučilište u zagrebu
Kabinet za matematiku, nacrtnu geometriju i perspektivu Kosa aksonometrija i kosa projekcija U sklopu kolegija Osnove nacrtne geometrije studenti izrađuju dva programa sa zadatcima primjenjivima u arhitektonskoj praksi (prvi program iz područja ortogonalne aksonometrije te drugi program iz područja kose aksonometrije i kose projekcije). Na primjeru programa studenta Ivana Mimice pokazan je zadatak drugog programa. Studenti se s pravilnim (Platonova tijela) i polupravilnim poliedrima (Arhimedova tijela) upoznaju na samome početku akademske godine kad izrađuju 3D model zadanih poliedara. Prikazuju ih metodom ortogonalnog projiciranja te u kosoj aksonometriji i kosoj projekciji. Na programu je prikazano pola dodekaedra u kosoj aksonometriji, izometriji s pogledom odozdo te u kosoj projekciji s pogledom odozgo s desna (u ovom slučaju je dodekaedar postavljen na kružnu ploču). Dodekaedar je položen jednim bridom paralelno s nacrtnom ravninom što je olakšalo prikaz dodekaedra u ortogonalnom i u kosom tlocrtu i nacrtu, te je primijenjeno znanje iz područja rotacije i perspektivne afinosti.
Faculty of Architecture, UNIVERSITY OF ZAGREB
Section of Mathematics, descriptive geometry and perspective oblique axonometry and oblique projection Basics of Descriptive Geometry is the course which trains students in the creation of twoprogrammes with assignments which can be used in architectural practice (the first programme belongs to the fieldof orthogonal projection and the second to the field of oblique axonometry and oblique projection). Students are familiarized with regular polyhedrons(Plato’s bodies) and semi-regular polyhedrons(Archimedes’ bodies) in the very beginning of the academic year when they create 3D models of the givenpolyhedrons. The models are represented by using the methods of orthogonal projection,oblique projection and oblique axonometry. The programme shows a half ofdodecahedroncreated in oblique axonometric view, isometrictop view, and in oblique projection with the top right direction (in this case the dodecahedron is placed on a circular panel). One edge of the dodecahedron is placed parallel to the drawing plane which facilitates the orthogonal projection of the dodecahedron and its plan and elevation views. The projections are made by drawing on the knowledge ofrotation and affine perspective.
Nacrtna geometrija i perspektiva / Descriptive Geometry and Perspective preddiplomski studij / undergraduate study programme Godina / year: 1; semestar / semester: 1 student / student: Ivan Mimica mentori / mentors: Nikoleta Sudeta, Marija Šimić Horvath
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Katedra za arhitektonske konstrukcije i zgradarstvo
Department of Architectural Technology and Building Science