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Are triangles and hexagons the only shapes one can use to make a geodesic sphere?
Geodesic basically means transferring a straight line to a curved space. It means that, somewhere in the sphere, there should be a straight line that goes around it, curved.So, yeah, triangles are the only shapes that create those 'arches'.Every opening in a (standard) geodesic dome building is a triangular opening, surrounded by 3 struts.If you tried to use any shape other than a triangle (a square, pentagon, or hexagon), in a geodesic dome building, such an opening would be mechanically unstable.One can find many hexagons and a few pentagons in a (standard) geodesic dome building -- but there are no hexagonal holes or pentagonal holes.All the pentagons have 5 struts inside dividing them up into 5 triangles.(the center of these pentagons is the only place 5 struts come together to a point).All the hexagons have 6 struts inside dividing them up into 6 triangles.In a few geodesic dome buildings, one can find a few squares -- but likewise, all the squares have 1 or 4 struts inside dividing them up into triangles.The "C60 Bucky ball", named for R. Buckminster Fuller, is a truncated icosahedron (as mimicked by the common soccer ball) and has 32 faces with twelve pentagons and 20 hexagons.All fullerene molecules, including C60 and carbon nanofibers, have exactly 12 pentagonal openings and many hexagonal openings, but no triangular openings.(Such shapes are highly stable -- the forces between the carbon atoms in a fullerene act differently than the forces between mechanical struts in a building).Other geodesic spheres, polyhedrons, of various faces are also possible but the triangular face is the type most commonly used in construction due to the inherent strength of the triangle.
What is the cross section of a structural dome most simiar to?
If horizontal, a circle. If vertical, a semi-circle.
What is Nathaniel Bacon famous for?
he is most famous for the famous Bacons Rebellion!
Who were some of the most famous mathematicians of the renaissance?
there are many but the most famous one is leonardo da vinci
Will you use geometry in fashion design?
Yes. When constructing a garment geometry is one of the most important part of the design.
