幾何作圖  Geometric Construction

(本次修改日:2015/06/17)
Professor: 全任重
Name: 鄭乃節
Student ID: 103033150
Software: Cabri 3D

Date Works
0225 12 equal circles with each one tangent to four circles on a sphere Rhombic triacontahedron The largest Tetrahedron in Cube



0304 Turn a Cube inside out to be a Rhombic dodecahedron Net of Cube The largest regular Tetrahedron in a regular dodecahedron



Net of regular Dodecahedron with four colors Net of regular Icosahedron  


 
0311 Cuboctahedron Cubohemioctahedron Octahemioctahedron



Icosidodecahedron Small icosihemidodecahedron Small dodecahemidodecahedron



Tetrahemihexahedron Buckyball    


   
The Intersection of a Cube and an Octahedron is a Cuboctahedron The Intersection of a regular Dodecahedron and a regular Icosahedron is a Buckyball The Intersection of a regular Dodecahedron and a regular Icosahedron is an Icosidodecahedron



0318 Triangular cupola Great rhombicuboctahedron  is formed by a small rhombicuboctahedron, 6 square cupola, 8 triangular cupola and 12 cubes 24 equal circles with each one Tangent to other 4 circles on a Sphere



Moving Deltoidal icositetrahedron Rhombicuboctahedron tangent to Deltoidal icositetrahedron  


 
0325 Net of Deltoidal icositetrahedron with 4 colors Net of Icosahedron with 4 colors  


 
0401 Rhombic triacontahedron in the smallest Cube with 6 colors Net of Rhombic triacontahedron with 6 colors  


 
0408 Diagonal Burr Puzzle Model with 3 colors Locking-Unlocking 6 Piece Diagonal Burr Puzzle with 3 colors 12 hexagonal pencils Tangent to Rhombic dodecahedron with 4 colors



30 pentagonal pencils Tangent to Rhombic triacontahedron with 6 colors    

   
0415 The Rhombic Dodecahedron and its Moving Third Stellation in Four Colors The Rhombic Triacontahedron and its Moving Jupiter Puzzle in Six Colors  


 
0422 Torus generated by Villarceau circles The Volecity vector of a Mobius strip The Volecity vector of a Two-thirds Twist Triangular Torus Mobius



0429 Any Triangle on Villarceau circle corresponding to a Torus The velocity of Rotation is 3 times of the velocity of Revolution  


 
0506 A Sphere in a Torus Tangent to 12 Villarceau circles A Torus Formed by 96 Villarceau Circles Hula Hoop



Moving Kaleidocycle Formed by 10 Regular Tetrahedrons    

   
0513 Moving Kaleidocycle formed by arbitrary 6 Tetrahedrons Moving Kaleidocycle formed by arbitrary 8 Tetrahedrons Dupin Cyclide



0520 Steiner Chain with a Fixed line Steiner Chain of Sphere with 6 Villarceau circles Three circles Theorem in 3D



Desargues' Theorem in 3D    

   
0527 The Inversion of Tangent Circles that are intersections of a Cube and an Octahedron with a Sphere Triangular cupola intersects a Sphere as 3 Types of Tangent Circles Square cupola intersects a Sphere as 3 Types of Tangent Circles



Pentagonal cupola intersects a Sphere as many Tangent Circles Small Rhombicosidodecahedron intersects a Sphere as 3 Types of Tangent Circles Small Rhombicuboctahedron and Deltoidal Icositetrahedron intersect a Sphere



Great Rhombicuboctahedron intersects a Sphere as 3 Types of Tangent Circles Great Rhombicosidodecahedron intersects a Sphere as 3 Types of Tangent Circles




0603 A generalization of Triangular cupola intersects a Sphere as 3 Types of Tangent Circles with 2 Fixed circles