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A group of spherical tessellations based on second family regular octahedron-based polyhedra

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Bysiec D.

Journal Biuletyn of Polish Society for Geometry and Engineering Graphics

2009

tom Vol. 19

49--59

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

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.

The investigation of stability of double-layer octahedron-based geodesic domes

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Bysiec D.

Structure and Environment

2011

tom Vol. 3, no. 3

30-41

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.