101062234王信璋

$描述: C:\Users\user\Desktop\123\12 Circles on Sphere each touch other four on one point_html.png$	$描述: C:\Users\user\Desktop\123\12 spaceships porting_html.png$
菱形十二面體與球體相交形成12個相等圓形每個與另外四個相切	12艘太空船每艘與另外四艘有1共平面內部為呈菱形十二面體
$描述: C:\Users\user\Desktop\123\12pencils_html.png$	$描述: C:\Users\user\Desktop\123\30 pencils_html.png$
12枝鉛筆每枝與另外四枝有1共平面	30枝五角鉛筆每枝與另外四枝有1共平面
$描述: C:\Users\user\Desktop\123\96 villaceau circles_html.png$	$描述: C:\Users\user\Desktop\123\Bucky ball in Icosahedron_html.png$
96 Villarceau Circles形成一甜甜圈，其中球體與每個Villarceau Circle有唯一交點。所有交點形成圓圈	正十二面體與正二十面體相交形成巴克球
$描述: C:\Users\user\Desktop\123\bucky ball_html.png$	$描述: C:\Users\user\Desktop\123\Buckyball_html.png$
六角椎用面反射最後形成巴克球	正二十面體截出正五邊形形成巴克球
$描述: C:\Users\user\Desktop\123\Circular intersections of a pentagonal cupola with a sphere_html.png$	$描述: C:\Users\user\Desktop\123\Circular intersections of a rhombicuboctahedron and a deltoidal icositetrahedron with a sphere_html.png$
Pentagonal Cupola與球相交。與3圓相切是粉紅色；與4圓相切是藍色；與5圓相切是綠色；與6圓相切是黑色。黃色是共軛	Small Rhombicuboctahedron與鳶形二十四面體共軛，綠色圓間的切線與粉紅色圓間的切線垂直
$描述: C:\Users\user\Desktop\123\Cuboctahedra_html.png$	$描述: C:\Users\user\Desktop\123\Cuboctahedron 2_html.png$
截半立方體，立方體切掉八個角到邊長一半	正四面體形成截半立方體
$描述: C:\Users\user\Desktop\123\Desargues' theorem_html.png$	$描述: C:\Users\user\Desktop\123\Diagonal Burr_html.png$
Desargues’ theorem	Diagonal burr
$描述: C:\Users\user\Desktop\123\Dualty of Cube and Octahedron_html.png$	$描述: C:\Users\user\Desktop\123\Great Rhombicuboctahedron_html.png$
正立方體到鳶形二十四面體到正八面體	Great Rhombidodecahedron
$描述: C:\Users\user\Desktop\123\Icosidodecahedron_html.png$	$描述: C:\Users\user\Desktop\123\Icositetrahedra_html.png$
截半十二面體	鳶形二十四面體Deltoidal Icositetrahedron
$描述: C:\Users\user\Desktop\123\inversion of circles and Octahedron_html.png$	$描述: C:\Users\user\Desktop\123\Kaleidocycle Formed by 8 Tetrahedrons_html.png$
正八面體、正立方體與球相切，做反演	Kaleidocycle Formed by 8 Tetrahedrons，旋轉時形成一條固定的黑線
$描述: C:\Users\user\Desktop\123\Kaleidocycle formed by arbitrary 10 regular Tetrahedrons_html.png$	$描述: C:\Users\user\Desktop\123\Kaleidocycle formed by arbitrary 10 Tetrahedrons - generalized_html.png$
Kaleidocycle Formed by 10 Tetrahedrons	Kaleidocycle Formed by 10 Tetrahedrons，任意四邊形構成
$描述: C:\Users\user\Desktop\123\Kaleidocycle formed by arbitrary 10 Tetrahedrons_html.png$	$描述: C:\Users\user\Desktop\123\Mobius strip_html.png$
Kaleidocycle Formed by 10 Tetrahedrons，極大四邊形構成	Mobius strip
$描述: C:\Users\user\Desktop\123\Moving Tangent line of a Villarceau circle_html.png$	$描述: C:\Users\user\Desktop\123\Net of a Cube_html.png$
Villarceau circle的切線	正立方體展開，一筆畫
$描述: C:\Users\user\Desktop\123\Net of Deltoidal icositetrahedron_html.png$	$描述: C:\Users\user\Desktop\123\Net of Dodecahedron symmetry property_html.png$
鳶形二十四面體展開，一筆畫	正十二面體展開，一筆畫
$描述: C:\Users\user\Desktop\123\Net of Icosidodecahedron 4 colors_html.png$	$描述: C:\Users\user\Desktop\123\Net of Icosidodecahedron_html.png$
正二十面體以正四面體的方法展開	正二十面體展開，一筆畫
$描述: C:\Users\user\Desktop\123\Net of Rhombic triacontahedron with 6 colors_html.png$	$描述: C:\Users\user\Desktop\123\Octahemioctahedron_html.png$
菱形三十面體展開，一筆畫，6種顏色	四角錐形成截半立方體
$描述: C:\Users\user\Desktop\123\Pyramids octahedron_html.png$	$描述: C:\Users\user\Desktop\123\Rhombic triacontahedron_html.png$
四面體形成正八面體，自共軛	菱形三十面體
$描述: C:\Users\user\Desktop\123\Rhombicuboctahedron tangent to Deltoidal icositetrahedron_html.png$	$描述: C:\Users\user\Desktop\123\Small rhombicuboctahedron in great rhombicuboctahedron base on spaure cupola_html.png$
Small Rhombicuboctahedron與鳶形二十四面體共軛，其邊必與一邊垂直	Great Rhombicuboctahedron，由Small Rhombicuboctahedron + 6 Square Cupola + 8 Triangular Cupola + 12正立方體構成
$描述: C:\Users\user\Desktop\123\Small Rhombicuboctahedron_html.png$	$描述: C:\Users\user\Desktop\123\Square cupola inversion_html.png$
Small Rhombidodecahedron	Square Cupola 與球面相交圓，反演中可用任兩個不相切圓固定讓其他圓圍繞旋轉
$描述: C:\Users\user\Desktop\123\Square cupola on Sphere_html.png$	$描述: C:\Users\user\Desktop\123\Steiner Chain by inversion_html.png$
Square Cupola與球面相交圓。與3圓相切是紅色；與四圓相切是黃色；與8圓相切是藍色。	反演球體中的Steiner Chain形成一些固定直線
$描述: C:\Users\user\Desktop\123\Steiner Chain of Sphere with 6 Villarceau circles_html.png$	$描述: C:\Users\user\Desktop\123\Stellated Diagonal Burr_html.png$
Steiner Chain 用Villarceau Circles圍起來	Diagonal Burr原型
$描述: C:\Users\user\Desktop\123\The Hula Hoop_html.png$	$描述: C:\Users\user\Desktop\123\The property of three spheres and their tangent lines_html.png$
Villarceau Circle呼拉圈	三球體的外切與內切線
$描述: C:\Users\user\Desktop\123\The Rhombic Triacontahedron and its Jupiter Puzzle with 6 colors_html.png$	$描述: C:\Users\user\Desktop\123\The velocity of Rotation is 3 times of the velocity of Revolution pace_html.png$
The Rhombic Triacontahedron， Jupiter Puzzle with 6 colors	公轉為自轉3倍速，方向向量與球體軌跡
$描述: C:\Users\user\Desktop\123\The velocity of Rotation is 3 times of the velocity of Revolution_html.png$	$描述: C:\Users\user\Desktop\123\The Volecity vectoc of a Mobius strip_html.png$
公轉為自轉3倍速，在甜甜圈上	莫比烏斯環的方向向量
$描述: C:\Users\user\Desktop\123\Triangle on Villarceau circle corresponding to a Torus_html.png$	$描述: C:\Users\user\Desktop\123\Triangle on Villarceau circle corresponding to a Torus - generalized_html.png$
Villarceau Circle上正三角形頂點共圓形成對z軸的同心圓與Torus截面圓相交成正三角形	Villarceau Circle上任意三角形頂點共圓形成對z軸的同心圓與Torus截面圓相交成相似三角形
$描述: C:\Users\user\Desktop\123\Triangular cupola inversion-1_html.png$	$描述: C:\Users\user\Desktop\123\Triangular cupola inversion-2_html.png$
Triangular cupola與球面相交圓，反演中可用任兩個不相切圓固定讓其他圓圍繞旋轉-1	Triangular cupola與球面相交圓，反演中可用任兩個不相切圓固定讓其他圓圍繞旋轉-2
$描述: C:\Users\user\Desktop\123\Triangular cupola forming circles on a Sphere_html.png$ $描述: C:\Users\user\Desktop\123\triangular cupola_html.png$	$描述: C:\Users\user\Desktop\123\Turn a Cube inside out to be a Rhombic dodecahedron 1_html.png$
Triangular cupola	正立方體轉成正八面體-1
$描述: C:\Users\user\Desktop\123\Turn a Cube inside out to be a Rhombic dodecahedron 2_html.png$	$描述: C:\Users\user\Desktop\123\two-third twist trianglar torus_html.png$
正立方體轉成正八面體-2	莫比烏斯環，正三角形版
$描述: C:\Users\user\Desktop\123\unkown star_html.png$	$描述: C:\Users\user\Desktop\123\villaceau and ball_html.png$
Stellated Icosidodecahedron	Villarceau Circles 與球相交點形成Torus截面圓
$描述: C:\Users\user\Desktop\123\villaceaus circle trajectory_html.png$	$描述: C:\Users\user\Desktop\123\Villarceau circles inversion_html.png$
甜甜圈(Torus)，痕跡作圖	Villarceau Circles反演
$描述: C:\Users\user\Desktop\123\villarceaus circle divided_html.png$
Villarceau Circle軸對稱