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1
Content available The investigation of stability of double-layer octahedron-based geodesic domes
Bysiec D.
Structure and Environment
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2011
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Vol. 3, no. 3
30-41
EN
The paper presents the investigation of stability of two double-layer octahedron-based geodesic domes. The stability analysis includes the forces acting in the bars as well as the displacements of the nodes with a static point load of 10 kN applied to the top symmetrical node. The investigation was conducted with both identical constant cross-section of all the bars and variable cross-sections (with their adjustment to the internal forces) in each of the bar groups. Moreover, diagrams illustrating the rates of change of the values of the forces and displacements were presented. Also the limit values were determined, above which the analysed structures are unstable.
2
Content available A group of spherical tessellations based on second family regular octahedron-based polyhedra
Bysiec D.
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
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2009
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Vol. 19
49--59
EN
The aim of this study was to calculate geometrie parameters of octahedron-based polyhedra generated according to the second method of subdivision each equilateral face into smaller triangulär elements. The analysis was generated for 6 derivative polyhedra and on the basis of them the final conclusions were prepared. Some formulas were invented and algorithms were developed using MsExcel program
PL
Celem pracy jest wyznaczenie parametrów geometrycznych wielościanów pochodnych od oktaedru, wygenerowanych na podstawie II sposobu podziału trójkąta równobocznego. Skoncentrowano się na 6 wielościanach pochodnych i na ich podstawie ustalono sposób obliczania analizowanych parametrów geometrycznych.
3
Content available A group of spherical tessellations based on regular octahedron
Bysiec D.
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
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2008
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Vol. 18
58--68
EN
The aim of the study was to calculate of geometric parameters of polyhedra with the bigger amount of faces – derived from a regular octahedron. The algorithms were developed using the MsExcel program. The analysis was concentrated on three regular octahedron-based polyhedra with an even number of edges and on three regular octahedron-based polyhedra with an odd number of edges.
PL
Praca jest poświęcona obliczeniom parametrów geometrycznych wielościanów o większej liczbie ścian – pochodnych od ośmiościanu foremnego. Algorytmy utworzono w programie MsEXCEl. Skoncentrowano się na trzech wielościanach pochodnych o parzystej liczbie oczek oraz na trzech o nieparzystej liczbie oczek. Na tej podstawie sformułowano wnioski końcowe
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