動態幾何

指導教 授 -- 全任重 教授

學生 -- 李奇峰

學號 -- 103021607

系所 -- 數學系應用數學所

9月17號作品集(凸包及陰陽多面體)


Complement (a)

Complement (b)

Complement (I)

Complement (II)

Self Dual

20 Rhombic Polyhedrons with 6 planes

Rhombic Polyhedron (a)

Rhombic Polyhedron (b)

Rhombic Polyhedron (c)


10月15號作品集(菱形多面體及展開圖)



Rhombic Dodecahedron

Rhombic Triacontahedron

Regular Tetrahedronin Cube

Color Regular Dodecahedron with 4 colors

Turning Cube Inside Out

Turning Regular Dodecahedron Inside Out

Span faces of Cube

Turning Cube to Rhombic Dodecahedron

Span faces of Regular Dodecahedron

Two Regular Tetrahedronin with the same midpoints


10月22號作品集(多面體內外接切多面體)



Icosidodecahedron

5 Cube inside Regular Dodecahedron

Tetrahedron 5-Compound(2)

Golden ratio

Regular icosahedron inside Regular Octahedron

Regular icosahedron inside Regular Tetrahedron

Regular icosahedron inside Regular Octahedron inside Regular Tetrahedron inside Cube inside Regular Dodecahedron

5 Regular Octahedron inside Regular Dodecahedron


10月29號作品(集魯班鎖與外切柱體)



Burr puzzle (I)

Burr puzzle (II)

12 Pencils in Tight Formation

Stellation of Rhombic Dodecahedron Formed with 12 Sticks

12 Cylinders in Tight Formation

30 Pencils in Tight Formation


11月5號作品(集投影與切割多面體)



The Square as an Image of a Convex Quadrilateral

Cube Projected on regular dodecahedron

Cube Projected on Cube

Cube Projected on Small Rhombicubactahedron

Cube Projected on Great Rhombicubactahedron

Cube Projected on Rhombic Dodecahedron

Cube Projected on Rhombic Triacontahedron


11月12號作品集(切割多面體(續))



Regular Tetrahedron Projected on Regular Tetrahedron

Regular Tetrahedron Projected on Cube

Regular Tetrahedron Projected on Small Rhombicubactahedron

Regular Tetrahedron Projected on Great Rhombicubactahedron

Regular Tetrahedron Projected on Deltoidal Icositetrahedron

Regular Tetrahedron Projected on Rhombic Dodecahedron

Regular Tetrahedron Projected on Cuboctahedron

Kaleidocycle(1)

Kaleidocycle(2)

Kaleidocycle(3)


12月3號作品集(內部最大多面體與黃金分割比)



Tetrahedron 5-Compound

Regular Icosahedron in Regular Tetrahedron

Regular Icosahedron in 5 Regular Octahedron


12月10號作品集(萬花環與扇子)



Kaleidocycle-6

Kaleidocycle-8

Kaleidocycle-12

Jitterbug

Fan_12


12月17號作品集(馬鞍與其切線)



Conic Sections and their Tangent Lines

Intersection Tangent Line

Intersection and Tangent Line(1)

Ellipse and Tangent Line


12月24號作品集(馬鞍切線與反演)



Hyperbolic Paraboloid

Pinhole Camera Model(I)

Pinhole Camera Model(II)


12月31號作品集(反演(續))



Inversion(triangular cupola)(I)

Inversion(triangular cupola)(II)

Inversion(triangular cupola)(III)

Inversion(triangular cupola)(IV)

Circles of Catalan solids(truncated tetrahedron and triakis tetrahedron)

Circles of Catalan solids(Rhombicuboctahedron and Deltoidal icositetrahedron)

Inversion(regular octahedron and cube)

Inversion(triangular cupola)