hyperboloids
Doubly curved shapes
Hyperboloids are three-dimensional surfaces generated by rotating a hyperbola around one of its axes.
In mathematics, they come in two types: the hyperboloid of one sheet, which resembles a cooling tower or hourglass waist, and the hyperboloid of two sheets, which forms two separate curved surfaces facing each other.
The distinctive shape appears in architecture and engineering, where hyperboloid structures provide strength with minimal material: The power plant's cooling towers are hyperboloids.
Outermost boundary layer
- saddleMounted rider's seat
- asymptoticApproaching a limit infinitely
- coneTapered solid, circular base
- axisRotation reference line
revolution · paraboloid · ellipsoid · curvature · coordinates · equation · generators · vertex
Openwork of crossed strips
- tensileCapable of elongation
- lightweightLacking mass or importance
- roofBuilding's protective top
- membraneThin tissue sheet
curvilinear · span · load-bearing · aesthetic · modernist · industrial · silhouette
Light-redirecting surface
- antennaBroadcast signal receiver
- telescopeInstrument magnifying faraway objects
- parabolicShaped like a conic section
- focusingConcentrating on one point
radar · microwave · signal · receiver · electromagnetic · gain · aperture · beam
Toothed wheel or belongings
- transmissionSending of information
- meshingInterlocking in coordination
- torqueRotational force measurement
- rotationTurning on an axis
mechanical · drivetrain · pinion · angular · kinematics · bearing · shaft · efficiency
surface
Outermost boundary layer
- saddleMounted rider's seat
- asymptoticApproaching a limit infinitely
- coneTapered solid, circular base
axis · revolution · paraboloid · ellipsoid · curvature · coordinates · equation · generators · vertex · nappe
lattice
Openwork of crossed strips
- tensileCapable of elongation
- lightweightLacking mass or importance
- roofBuilding's protective top
membrane · curvilinear · span · load-bearing · aesthetic · modernist · industrial · silhouette
reflector
Light-redirecting surface
- antennaBroadcast signal receiver
- telescopeInstrument magnifying faraway objects
- parabolicShaped like a conic section
focusing · radar · microwave · signal · receiver · electromagnetic · gain · aperture · beam · transmission
gear
Toothed wheel or belongings
- transmissionSending of information
- meshingInterlocking in coordination
- torqueRotational force measurement
rotation · mechanical · drivetrain · pinion · angular · kinematics · bearing · shaft · efficiency · automotive
hyperboloidsspheres
Round solids, all points equidistant
ellipsoids · ovoids · spheroids · paraboloids · balls
hyperboloidsspheres
Round solids, all points equidistant
ellipsoids · domes · bowls · planes