`Geometric Construction`

`Professor : 全任重教授`

`Student : 李達`

`Reference : Poncelet Mathworld Cabri Dreamweaver_teaching_videos`

`Click the picture to view dynamic geometry ,then you can drag the biggest node and see what happens`

`Polyhedrons`


`Buckminsterfullerence(Yin and yang)`	`Dodecahedron(Yin and yang)`	`Buckminsterfullerence`	`Great Rhombicuboctahedron`

`Duality between Cube and Octahedron`	`Small Rhombicosidodecahedro`	`Cantellated tetrahedron(Yin and yang)`	`Square Cupola`

`Octahedral(Yin and yang)`	`Great Rhombicosidodecahedron`	`Pentagonal Cupol`	`Triangular Cupola`

`Rhombic`


`Animation of Rhombic Dodecahedron`	`Animation of Rhombic Icosahedron`	`Animation of Rhombohedron`	`Rhombic Triacontahedron inside cube`	`Rhombic Dodecahedron`

`Rhombic Polyhedron with 132 Rhombic faces`	`Rhombic Hexahedron (20-Compound)`	`Rhombic Icosahedron (12-compound)`	`Rhombic Icosahedron`	`Rhombic Triacontahedron`

`Projection`


`Cube Projected on Buckminsterfullerene`	`Cube Projected on Cube`	`Cube Projected on Dodecahedron`	`Cube projected on Icosa-Dodecahedron`	`Cube Projected on Icosidodecahedron`	`Cube Projected on Regular Icosahedron`

`Cube Projected on Regular Octahedron`	`Cube Projected on Rhombic Triacontahedron`	`Cube projector on Rhombic triacontahedron`	`Tetrahedron Projected on Cube`	`Tetrahedron Projected on Tetrahedron`	`The Square as an image of a quadrilateral`

`Intersection`


`5 Cube inside Regular Dodecahedron`	`5 Regular Octahedron inside Regular Dodecahedron 2`	`5 Regular Octahedron inside Regular Dodecahedron`	`Regular Icosahedron in Regular Octahedron in Regular Tetrahedron in Cube in Regular Dodecahedron`	`Regular Icosahedron inside 5 Regular Tetrahedron inside Regular Dodecahedron`

`Regular Octahedron inside Cube`	`Icosahedron inside Octahedron inside Tetrahedron inside Cube inside Dodecahedron`	`rotation of tetrahedron in dodecahedron`	`Tetrahedron 5-Compound`	`The smallest Cube contain Dodecahedron`

`Turning`


`Back and Forth Between Dodecahedron and Rhombic Triacontahedron`	`Back and Forth Between Icosahedron and Rhombic Triacontahedron`	`Back and Forth Between Octahedron and Rhombic Dodecahedron`	`Expansion of Cube-Rhombic dodecahedron 2`	`Expansion of Cube-Rhombic dodecahedron`

`Expansion of Dodecahedron`	`Open Cube in other way`	`Open Cube`	`snake`	`Turning Regular Dodecahedron into Rhombic Triacontahedron`

`Kaleidocycle`


`Kaleidocycle formed 6`	`Kaleidocycle formed by 10 Tetrahedrons`

`Sticks&Burrs`


`12 Sticks`	`30 cylinderse`	`30 Pencils in Tight Formation`	`broken pencil puzzle`

`broken sticks puzzle`	`Pull the Burrs Apart`	`Rhombic Dodecahedron Formed with 12 Sticks`	`Stellation of Rhombic Dodecahedron Formed with Six Burrs`

`Conic Section&Others`


`Ellipse and Hyperbola`	`Parabola and Hyperbolic`	`Tangent to Hyperbolic Paraboloid`

`Tangent to Saddle surface`	`torus`	`Triangluar Torus`

`The End`


`Iscosidodecahedron` `(Yin and yang)`

last updated:2013/1/22