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  • Geometric Models - Dissected Polyhedra
  • Dissected but not Transformed
  • Transformable Dissected Polyhedra

Geometric Model - Dissected Polyhedra

Dissected Polyhedra Transformable into Other Polyhedra

American History Museum

Wheeler’s more ingenious plane dissections involved polyhedra, cut into smaller polyhedra, that could then be rearranged to form other polyhedra. He and his students first made these models of paper. Wheeler later made large plastic models for lecture demonstrations. The models are listed in the order of the numbers Wheeler assigned to them, when such a number could be found.


Geometric Model by A. Harry Wheeler, Union of Regular Octahedron and Cube Transformable Into Itself, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Cuboctahedron (Part of a Dissected Polyhedron)

Geometric Model by A. Harry Wheeler, Cuboctahedron (Portion of a Dissected Polyhedron)

Geometric Model by A. Harry Wheeler, Dissected Rhombic Dodecahedron, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Rhombic Dodecahedron, Filler for Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Transformation of Two Equal Rhombic Dodecahedra into Rhombic Dodecahedron of the Second Species, Dissected Polyhedron (Portion)

Geometric Model by A. Harry Wheeler, Cube Transformable into Two Stellated Rhombic Dodecahedra, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Cube Transformable into Two Stellated Rhombic Dodecahedra, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Stellated Dodecahedron Transformable into Two Rhombic Dodecahedra, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Pyramid, Part of Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Cube, Part of a Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Rhombic Dodechahedron Transformable into Two Cubes, Dissected Polyhedron (Incomplete)

Geometric Model by A. Harry Wheeler, Rhombic Dodechahedron Transformable into Two Cubes, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Tesseract, Dissected Polyhedron

Geometric Model by A. Harry Wheeler,Transformable Dodecahedron, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Regular Octahedron and Rhombic Dodecahedron, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Triangular Prism Transformable into a Cube, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Cube Transformable into a Cube, Dissected Polyhedron

Geometric Model by A. Harry Wheeler, Rhombic Dodecahedron Transformable into a Trapezohedron, Dissected Polyhedron

Geometric Model by A. Harry Wheeler,Two Cubes Transformable into a Rhombic Dodecahedron, Dissected Polyhedron (Portion)

Geometric Model by A. Harry Wheeler,Two Cubes Transformable into a Rhombic Dodecahedron, Dissected Polyhedron (Portion)

Geometric Model by A. Harry Wheeler, Cube Transformable into Rectangular Parallelepiped, Dissected Polyhedron

Patterns and Documentation Relating to Geometric Models of A. Harry Wheeler

Documentation and Pattern for Geometric Models of A. Harry Wheeler - Dissections

Patterns and Documentation for Geometric Models of A. Harry Wheeler, Especially Plane Dissections and Polyhedral Dissections


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