Shapes and solids of constant width.
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The Reuleaux Triangle is one shape other than a circle that can be rotated inside a square and remain in constant contact with all four sides of the square. If the square has a perimeter of 16, what is the perimeter of the triangle? See the answer: https://brilliant.org/problems/shapes-of-constant-width/?utm_source=facebook&utm_medium=social&utm_campaign=fb_posts_01132017&utm_content=pt_reuleaux | Brilliant.org
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1.4M views · 10K reactions | Does the property of having a constant diameter characterise a sphere? Prof Sam Howison explains why the answer is no...  | Oxford Mathematics #maths #math #mathematics #OxfordUni #OxfordUniversity #OxfordProfessor #Mathslesson #Geometry #GeometryLesson #MathsHack | University of Oxford | Facebook
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Five Orbiforms: precision 3D printed volumes of constant width. These shapes have constant diameter no matter their orientation and will roll like spheres between two planes- note how the acrylic plate stays parallel to the table as the sphere and other orbiforms roll underneath. The one that resembles a pyramid is the Meissner tetrahedron, which is conjectured to be the orbiform of least volume. A sphere is the orbiform of maximal volume, and the others are based on revolutions of the Reuleaux
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