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Impetus
This educational showcase and tribute was inspired by my reading of a recent science news article which announced the formulation of the "Noperthedron," a polyhedron boasting 90 vertices and 152 faces and allegedly the only convex polyhedron proven to lack Rupert's Property.
Rupert's Property
A polyhedron may be said to have Rupert's Property if it is possible for another polyhedron of equal size and shape to cleanly 'pass through' its interior without colliding or overlapping with the exterior surface.
Rupert's Property is named for Prince Rupert of the Rhine, acclaimed first for his military acumen and success as a Royalist cavalry commander during the English Civil War (1642-1651) and later, in his retirement, for his scholarly contributions. In 1660, Prince Rupert became the third founding member of the Royal Society, among the oldest national scientific institutions in the world. By 1674, he had converted many of the apartments at Windsor Castle into luxurious laboratory rooms, even fitted with forges, crucibles, and caches of raw materials for his experiments. His contemporaries referred to him as a “philosophic warrior,” which was appropriate, as much of his work focused on military science, including a method for producing a more potent form of gunpowder (for use in both mining and artillery).
Naturally, he also had a dedicated interest in mathematics, especially geometry, which lent well to his other pursuits in the fields of chemistry, engineering, metallurgy, and glassblowing. Rupert's Property comes from Prince Rupert's musings and inquiry into the properties of the five Platonic solids -- and particularly, the cube. His question was this: Could a cube (I assume, made of metal or glass) pass through another of equal size without sundering it? ( ... Yes! )
Map
This map is therefore a brief showcase and tribute to Prince Rupert and to our recent advances in geometry. You may visit four waystations, each of which will elaborate upon or demonstrate Rupert's Property (applied to the humble cube). Much of it is a restatement of what I have already written here but with the addition of a visual representation, but I am quite happy to present a command block and redstone device which uses the Clone function to generate a dynamic representation of the path that one cube may travel through another to prove or illustrate Rupert's Property.
Thank you for reading, and I hope you enjoy(ed) this bit of science news as much as I have.
This educational showcase and tribute was inspired by my reading of a recent science news article which announced the formulation of the "Noperthedron," a polyhedron boasting 90 vertices and 152 faces and allegedly the only convex polyhedron proven to lack Rupert's Property.
Rupert's Property
A polyhedron may be said to have Rupert's Property if it is possible for another polyhedron of equal size and shape to cleanly 'pass through' its interior without colliding or overlapping with the exterior surface.
Rupert's Property is named for Prince Rupert of the Rhine, acclaimed first for his military acumen and success as a Royalist cavalry commander during the English Civil War (1642-1651) and later, in his retirement, for his scholarly contributions. In 1660, Prince Rupert became the third founding member of the Royal Society, among the oldest national scientific institutions in the world. By 1674, he had converted many of the apartments at Windsor Castle into luxurious laboratory rooms, even fitted with forges, crucibles, and caches of raw materials for his experiments. His contemporaries referred to him as a “philosophic warrior,” which was appropriate, as much of his work focused on military science, including a method for producing a more potent form of gunpowder (for use in both mining and artillery).
Naturally, he also had a dedicated interest in mathematics, especially geometry, which lent well to his other pursuits in the fields of chemistry, engineering, metallurgy, and glassblowing. Rupert's Property comes from Prince Rupert's musings and inquiry into the properties of the five Platonic solids -- and particularly, the cube. His question was this: Could a cube (I assume, made of metal or glass) pass through another of equal size without sundering it? ( ... Yes! )
Map
This map is therefore a brief showcase and tribute to Prince Rupert and to our recent advances in geometry. You may visit four waystations, each of which will elaborate upon or demonstrate Rupert's Property (applied to the humble cube). Much of it is a restatement of what I have already written here but with the addition of a visual representation, but I am quite happy to present a command block and redstone device which uses the Clone function to generate a dynamic representation of the path that one cube may travel through another to prove or illustrate Rupert's Property.
Thank you for reading, and I hope you enjoy(ed) this bit of science news as much as I have.
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I forget about his other accomplishments (bad with names ¯\_(ツ)_/¯ ), remembering him primarily for his association with prince ruperts tears