課程網頁  http://sylvester.math.nthu.edu.tw/d2/gc-10/

上課用軟體Cabri3D  http://www.cabri.com

Part.1

A cube contains two regular tetrahedron 包住兩對偶四面體的最小方塊	Octahedron Dual Hexahedron 八面體和六面體	cubohemioctahedron 正六面體和正八面體的交點	Icosidodecahedron 截半20面體
Rhombic Dodecahedron 菱形12面體	Rhombic Dodecahedron OPEN 菱形12面體打開	Rhombic Triacontahedron 菱形20面體	Rhombic Triacontahedron OPEN 菱形20面體打開
octahemioctahedron 6個金字塔圍出8個三角錐	octahemioctahedron2 8個三角錐圍出6個金字塔	small dodecahemidodecahedron 12個五角錐圍出20個三角錐	small dodecahemidodecahedron2 20個三角錐圍出12個五角錐
Great Rhombicosidodecahedron 斜方截半立方體	Small Rhombicosidodecahedron 小斜方截半立方體

Part.2

Tetrahedron divided in 4 equal parts 四面體分成四等份	Cube divided in 4 equl parts 方塊分成四等份	Truncated Octahedron divided in 4 equal parts 平截八面體分成四等份	Truncated Octahedron divided in 6 equal parts 平截八面體分成六等份

Part.3

3 orthogonal rectangles in icosahedron 正20面體內的三個垂直矩形	the biggest icosahedron encluded in cube 正20面體外接正方體	smallest and biggest cube cover and in dodecahedron正12面體外接和內接正方體	the biggest cube cover Octahedral 八面體外接正方體
the biggest Tetrahedron cover Icosahedron 正20面體最大外接正4面體	the biggest Octahedral cover Icosahedron 正20面體最大外接正8面體	Icosahedral&5-Tetrahedron

Part.4

Cube 5-Compound 十二面體內五個最大立方體	Tetrahedron 5-compound 正四面體 - 五個疊加	Tetrahedron 5-compound-2 五複合正四面體

Part.5

Cube-Icosahedral-Dodecahedron-Octahedral-Tetrahedron 方塊-正二十面體-正十二面體-正八面體-正四面體	Cube-Octahedral-RhombicIcosahedral 方塊-正八面體-菱形二十面體	Hexagon-Cube-Tetrahedron 六邊型-方塊-正四面體	Icosahedral-5Cube 正二十面體-五個方塊
Icosahedral-5Octahedral 正二十面體-五個正八面體	Icosahedral-Dodecahedron-Icosahedral-Tetrahedron 正二十面體-正十二面體-正四面體	Icosahedral-Dodecahedron-Octahedral-Tetrahedron-Cube 正二十面體-正八面體-正十二面體-正四面體-方塊	Icosahedral-Octahedral-Tetrahedron-Cube-Dodecahedron 正二十面體-正四面體-方塊-正十二面體
Octahedral-Cube-Octahedral-Cube 正八面體-方塊-正八面體-方塊

Part.6

Buckyballs and it's Dual 巴克球和它的對偶	Icositetrahedra an it's Dual 鳶形24面體和它的對偶	Rhombic Dodecahedron and it's Dual 菱形12面體和它的對偶	Rhombicuboctahedron and it's Dual 菱形20面體和它的對偶

Part.7

RhombicDodecahedron 菱形12面體	active RhombicDodecahedron 會動的菱形12面體	RhombicIcosahedral 菱形15面體	active RhombicIcosahedral 會動的菱15面體
active Rhombohedron 會動的菱形六面體	active Rhombicpoly 會動的菱形多面體	RhombicIcosahedral 菱形20面體	Rhombic60 菱形60面體
Rhombic180 菱形180面體

Part.8

Inversion of Ball 球的反演	Inversion-2 反演	Inversion-3 反演	Inversion-4-line 反演-直線
Inversion-5-Hyperbola 反演-雙曲線	Cone&Ball 圓錐和球體	Cone&Ball2 圓錐和球體2	Ring 圓環
Inversion pole and Inversion axis 反演-球上的極與軸	Three balls' intersection 三球投影交一線	The circles' intersection 圓錐和球體2

Part.9

folding fan 摺扇	two triangles interaction 兩三角型扭轉	two hexagons interaction 兩六邊型扭轉

相關連結

Uniform Polyhedron

http://mathworld.wolfram.com/UniformPolyhedron.html

http://www.mathconsult.ch/showroom/unipoly/unipoly.html

http://www.ylmass.edu.hk/~mathsclub/ILC/Polyhedra/

Dual Polyhedron

http://mathworld.wolfram.com/DualPolyhedron.html