数学の楽園は、数学学習サイトです。

スポンサー広告

MathJax数式とXy-pic図形

数学の楽園で作成した、MathJaxの数式と、Xy-pic図形を、置いていきます。ウェブで、数式や図形を書くために、素材としてご利用ください。

立体幾何(図形)分野の素材

立体幾何分野の素材で、正多面体、多面体、角柱、角錐、円柱、円錐、球、展開図、投影図、切断図、回転体、のまとめがあります。



正4面体

\begin{xy} (0,0)*{\bullet}="A", (-15,15)*{\bullet}="A", (15,15)*{\bullet}="A", (0,35)*{\bullet}="A", {(0,0) \ar @{-}(15,15)}, {(0,0) \ar @{-}(-15,15)}, {(15,15) \ar @{.}(-15,15)}, {(0,35) \ar @{-}(-15,15)}, {(0,35) \ar @{-}(15,15)}, {(0,35) \ar @{-}(0,0)}, \end{xy}



正6面体(立方体)

\begin{xy} {(0,0) \ar @{-}(9,6)}, {(0,0) \ar @{-}(0,-9)}, {(0,0) \ar @{-}(-9,6)}, {(0,12) \ar @{-}(9,6)}, {(0,12) \ar @{-}(-9,6)}, {(9,6) \ar @{-}(9,-3)}, {(-9,6) \ar @{-}(-9,-3)}, {(0,-9) \ar @{-}(9,-3)}, {(0,-9) \ar @{-}(-9,-3)}, {(0,3) \ar @{.}(9,-3)}, {(0,3) \ar @{.}(-9,-3)}, {(0,3) \ar @{.}(0,12)}, \end{xy} \begin{xy} (12,-14)*{2}="A", (-12,-14)*{2}="A", (-2,-7)*{2}="A", {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (0,0)*{\bullet}="A", (18,12)*{\bullet}="A", (-18,12)*{\bullet}="A", (18,-6)*{\bullet}="A", (-18,-6)*{\bullet}="A", (0,-18)*{\bullet}="A", (0,6)*{\bullet}="A", (0,24)*{\bullet}="A", {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy}



正8面体

\begin{xy} (10,8)*{\bullet}="A", (10,-8)*{\bullet}="A", (-10,8)*{\bullet}="A", (-10,-8)*{\bullet}="A", (0,20)*{\bullet}="A", (0,-20)*{\bullet}="A", {(10,8) \ar @{-}(10,-8)}, {(10,8) \ar @{.}(-10,8)}, {(10,-8) \ar @{-}(-10,-8)}, {(-10,-8) \ar @{-}(-10,8)}, {(0,20) \ar @{-}(10,8)}, {(0,20) \ar @{-}(10,-8)}, {(0,20) \ar @{-}(-10,8)}, {(0,20) \ar @{-}(-10,-8)}, {(0,-20) \ar @{.}(10,8)}, {(0,-20) \ar @{-}(10,-8)}, {(0,-20) \ar @{.}(-10,8)}, {(0,-20) \ar @{-}(-10,-8)}, \end{xy}



正12面体



正20面体



3角柱

\begin{xy} {(0,6) \ar @{.}(-6,0)}, {(0,6) \ar @{.}(6,0)}, {(6,0) \ar @{-}(-6,0)}, {(0,21) \ar @{-}(-6,15)}, {(0,21) \ar @{-}(6,15)}, {(6,15) \ar @{-}(-6,15)}, {(0,6) \ar @{.}(0,21)}, {(6,0) \ar @{-}(6,15)}, {(-6,0) \ar @{-}(-6,15)}, \end{xy} \begin{xy} (0,12)*{\bullet}="A", (-12,0)*{\bullet}="A", (12,0)*{\bullet}="A", (0,42)*{\bullet}="A", (-12,30)*{\bullet}="A", (12,30)*{\bullet}="A", {(0,12) \ar @{.}(-12,0)}, {(0,12) \ar @{.}(12,0)}, {(12,0) \ar @{-}(-12,0)}, {(0,42) \ar @{-}(-12,30)}, {(0,42) \ar @{-}(12,30)}, {(12,30) \ar @{-}(-12,30)}, {(0,12) \ar @{.}(0,42)}, {(12,0) \ar @{-}(12,30)}, {(-12,0) \ar @{-}(-12,30)}, (0,4)*{底面}="A", (-4,14)*{A}="A", (-12,-5)*{C}="A", (12,-5)*{B}="A", \end{xy} \begin{xy} (0,0)*{\bullet}="A", (-12,12)*{\bullet}="A", (24,12)*{\bullet}="A", (0,30)*{\bullet}="A", (-12,42)*{\bullet}="A", (24,42)*{\bullet}="A", {(0,0) \ar @{-}(24,12)}, {(0,0) \ar @{-}(-12,12)}, {(24,12) \ar @{.}(-12,12)}, {(0,30) \ar @{-}(24,42)}, {(0,30) \ar @{-}(-12,42)}, {(24,42) \ar @{-}(-12,42)}, {(0,0) \ar @{-}(0,30)}, {(24,12) \ar @{-}(24,42)}, {(-12,12) \ar @{-}(-12,42)}, (6,8)*{底面}="A", (6,38)*{上面}="A", \end{xy}

3角錐

\begin{xy} (0,12)*{\bullet}="A", (-12,0)*{\bullet}="A", (12,0)*{\bullet}="A", (0,42)*{\bullet}="A", {(0,12) \ar @{.}(-12,0)}, {(0,12) \ar @{.}(12,0)}, {(12,0) \ar @{-}(-12,0)}, {(0,12) \ar @{.}(0,42)}, {(12,0) \ar @{-}(0,42)}, {(-12,0) \ar @{-}(0,42)}, (0,4)*{底面}="A", (-4,14)*{A}="A", (-12,-5)*{C}="A", (12,-5)*{B}="A", \end{xy} \begin{xy} (0,0)*{\bullet}="A", (-12,12)*{\bullet}="A", (24,12)*{\bullet}="A", (0,30)*{\bullet}="A", {(0,0) \ar @{-}(24,12)}, {(0,0) \ar @{-}(-12,12)}, {(24,12) \ar @{.}(-12,12)}, {(0,30) \ar @{-}(-12,12)}, {(0,30) \ar @{-}(24,12)}, {(0,30) \ar @{-}(0,0)}, (6,8)*{底面}="A", (8,30)*{頂点}="A", \end{xy}

4角柱(直方体)

\begin{xy} (0,0)*{\bullet}="A", (-12,12)*{\bullet}="A", (24,12)*{\bullet}="A", (12,24)*{\bullet}="A", (0,30)*{\bullet}="A", (-12,42)*{\bullet}="A", (24,42)*{\bullet}="A", (12,54)*{\bullet}="A", {(0,0) \ar @{-}(24,12)}, {(0,0) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(24,12)}, {(0,30) \ar @{-}(24,42)}, {(0,30) \ar @{-}(-12,42)}, {(12,54) \ar @{-}(-12,42)}, {(12,54) \ar @{-}(24,42)}, {(0,0) \ar @{-}(0,30)}, {(24,12) \ar @{-}(24,42)}, {(-12,12) \ar @{-}(-12,42)}, {(12,24) \ar @{.}(12,54)}, (6,12)*{底面}="A", (6,42)*{上面}="A", \end{xy} \begin{xy} (-3,27)*{A}="A", (23,15)*{B}="A", (-23,15)*{D}="A", (-3,-3)*{C}="A", (-3,9)*{E}="A", (23,-9)*{F}="A", (-23,-9)*{H}="A", (-3,-21)*{G}="A", (0,0)*{\bullet}="A", (20,12)*{\bullet}="A", (-20,12)*{\bullet}="A", (20,-6)*{\bullet}="A", (-20,-6)*{\bullet}="A", (0,-18)*{\bullet}="A", (0,6)*{\bullet}="A", (0,24)*{\bullet}="A", {(0,0) \ar @{-}(20,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-20,12)}, {(0,24) \ar @{-}(20,12)}, {(0,24) \ar @{-}(-20,12)}, {(20,12) \ar @{-}(20,-6)}, {(-20,12) \ar @{-}(-20,-6)}, {(0,-18) \ar @{-}(20,-6)}, {(0,-18) \ar @{-}(-20,-6)}, {(0,6) \ar @{.}(20,-6)}, {(0,6) \ar @{.}(-20,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy}

4角錐

\begin{xy} (0,0)*{\bullet}="A", (-12,12)*{\bullet}="A", (24,12)*{\bullet}="A", (12,24)*{\bullet}="A", (12,54)*{\bullet}="A", {(0,0) \ar @{-}(24,12)}, {(0,0) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(24,12)}, {(12,24) \ar @{.}(12,54)}, {(0,0) \ar @{-}(12,54)}, {(-12,12) \ar @{-}(12,54)}, {(24,12) \ar @{-}(12,54)}, (10,12)*{底面}="A", (5,54)*{頂点}="A", \end{xy} \begin{xy} (-12,15)*{\bullet}="A", (12,15)*{\bullet}="A", (-12,0)*{\bullet}="A", (12,0)*{\bullet}="A", (0,30)*{\bullet}="A", {(-12,15) \ar @{.}(12,15)}, {(-12,15) \ar @{-}(-12,0)}, {(12,15) \ar @{-}(12,0)}, {(12,0) \ar @{-}(-12,0)}, {(-12,15) \ar @{-}(0,30)}, {(-12,0) \ar @{-}(0,30)}, {(12,15) \ar @{-}(0,30)}, {(12,0) \ar @{-}(0,30)}, \end{xy} \begin{xy} (-8,4)*{3}="A", (14,4)*{4}="A", (26,25)*{6}="A", {(0,0) \ar @{-}(24,12)}, {(0,0) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(-12,12)}, {(12,24) \ar @{-}(24,12)}, {(0,0) \ar @{-}(24,42)}, {(24,12) \ar @{-}(24,42)}, {(-12,12) \ar @{-}(24,42)}, {(12,24) \ar @{.}(24,42)}, {(24,16) \ar @{-}(20,14)}, {(20,14) \ar @{-}(20,10)}, \end{xy}


円柱

\begin{xy} {(0,0) \ar @{-}(0,20)}, {(20,0) \ar @{-}(20,20)}, (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(10,6)&(20,3)}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-6)&(20,-3)}; (0,18)*+[o]{}="A";(20,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(10,26)&(20,23)}; (0,22)*+[o]{}="A";(20,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,17)&(10,14)&(20,17)}; \end{xy} \begin{xy} {(0,0) \ar @{-}(0,30)}, {(40,0) \ar @{-}(40,30)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,4)&(20,10)&(40,4)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-10)&(40,-4)}; (0,28)*+[o]{}="A";(40,28)*+{}="B", "A";"B" **\crv{~**@{-} (0,34)&(20,40)&(40,34)}; (0,32)*+[o]{}="A";(40,32)*+{}="B", "A";"B" **\crv{~**@{-} (0,26)&(20,20)&(40,26)}; (20,0)*{底面}="A", (20,30)*{上面}="A", \end{xy}

円錐

\begin{xy} {(0,0) \ar @{-}(10,15)}, {(20,0) \ar @{-}(10,15)}, (10,15)*{\bullet}="A", (20,0)*{\bullet}="A", (10,19)*{A}="A", (21,4)*{B}="A", (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,1)&(10,4)&(20,1)}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-5)&(20,-3)}; (10,-10)*{ABを母線と呼ぶ}="A", \end{xy} \begin{xy} (18,12)*{4}="A", (7,2)*{2}="A", (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(10,6)&(20,3)}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-6)&(20,-3)}; {(0,0) \ar @{-}(10,25)}, {(20,0) \ar @{-}(10,25)}, {(10,0) \ar @{.}(0,0)}, \end{xy} \begin{xy} {(0,0) \ar @{-}(20,30)}, {(40,0) \ar @{-}(20,30)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,2)&(20,10)&(40,2)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-10)&(40,-4)}; (20,30)*{\bullet}="A", (20,0)*{底面}="A", (28,30)*{頂点}="A", \end{xy} \begin{xy} (22,14)*{6}="A", (30,2)*{4}="A", {(20,0) \ar @{.}(20,30)}, {(0,0) \ar @{-}(20,30)}, {(40,0) \ar @{-}(20,30)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,2)&(20,7)&(40,2)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; {(20,0) \ar @{.}(40,0)}, \end{xy}

\begin{xy} (29,2)*{6}="A", (20,0) *\cir<20mm>{}, {(20,0) \ar @{.}(40,0)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(20,8)&(40,3)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; \end{xy}

アルキメデスの球と円柱

\begin{xy} (29,2)*{r}="A", (20,0) *\cir<20mm>{}, {(20,0) \ar @{.}(40,0)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(20,8)&(40,3)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; (0,18)*+[o]{}="A";(40,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(20,28)&(40,23)}; (0,22)*+[o]{}="A";(40,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,16)&(20,12)&(40,16)}; (0,-22)*+[o]{}="A";(40,-22)*+{}="B", "A";"B" **\crv{~**@{.} (0,-17)&(20,-12)&(40,-17)}; (0,-18)*+[o]{}="A";(40,-18)*+{}="B", "A";"B" **\crv{~**@{-} (0,-24)&(20,-28)&(40,-24)}; {(0,-20) \ar @{-}(0,20)}, {(40,-20) \ar @{-}(40,20)}, \end{xy}

投影図

\begin{xy} {(0,0) \ar @{-}(0,20)}, {(20,0) \ar @{-}(20,20)}, (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(10,6)&(20,3)}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-6)&(20,-3)}; (0,18)*+[o]{}="A";(20,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(10,26)&(20,23)}; (0,22)*+[o]{}="A";(20,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,17)&(10,14)&(20,17)}; {(0,-15) \ar @{.}(20,-15)}, {(0,0) \ar @{.}(0,-35)}, {(20,0) \ar @{.}(20,-35)}, (10,-22)*{立面図}="A", (10,-30)*{真正面}="A", {(0,-35) \ar @{-}(0,-65)}, {(20,-35) \ar @{-}(20,-65)}, {(0,-35) \ar @{-}(20,-35)}, {(0,-65) \ar @{-}(20,-65)}, \end{xy} \begin{xy} {(0,0) \ar @{-}(0,20)}, {(20,0) \ar @{-}(20,20)}, (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(10,6)&(20,3)}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-6)&(20,-3)}; (0,18)*+[o]{}="A";(20,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(10,26)&(20,23)}; (0,22)*+[o]{}="A";(20,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,17)&(10,14)&(20,17)}; {(0,-15) \ar @{.}(20,-15)}, {(0,0) \ar @{.}(0,-45)}, {(20,0) \ar @{.}(20,-45)}, (10,-22)*{平面図}="A", (10,-30)*{真上}="A", (10,-45) *\cir<10mm>{}, \end{xy}

展開図

\begin{xy} (8,0)*{3}="A", (-2,10)*{4}="A", {(6,6) \ar @{-}(-6,6)}, {(-6,6) \ar @{-}(-6,-6)}, {(-6,-6) \ar @{-}(6,-6)}, {(6,-6) \ar @{-}(6,6)}, {(-6,6) \ar @{-}(-20,0)}, {(-6,-6) \ar @{-}(-20,0)}, {(6,6) \ar @{-}(20,0)}, {(6,-6) \ar @{-}(20,0)}, {(6,6) \ar @{-}(0,20)}, {(-6,6) \ar @{-}(0,20)}, {(6,-6) \ar @{-}(0,-20)}, {(-6,-6) \ar @{-}(0,-20)}, {(0,6) \ar @{.}(0,20)}, {(0,8) \ar @{-}(2,8)}, {(2,6) \ar @{-}(2,8)}, \end{xy} \begin{xy} {(0,-10) \ar @{-}(-6,0)}, {(0,-10) \ar @{-}(6,0)}, {(-6,0) \ar @{-}(30,0)}, {(0,25) \ar @{-}(-6,15)}, {(0,25) \ar @{-}(6,15)}, {(-6,15) \ar @{-}(30,15)}, {(6,0) \ar @{-}(6,15)}, {(-6,0) \ar @{-}(-6,15)}, {(18,0) \ar @{-}(18,15)}, {(30,0) \ar @{-}(30,15)}, \end{xy} \begin{xy} {(0,-12) \ar @{-}(0,24)}, {(-12,0) \ar @{-}(36,0)}, {(12,-12) \ar @{-}(12,24)}, {(-12,12) \ar @{-}(36,12)}, {(0,24) \ar @{-}(12,24)}, {(0,-12) \ar @{-}(12,-12)}, {(-12,0) \ar @{-}(-12,12)}, {(24,0) \ar @{-}(24,12)}, {(36,0) \ar @{-}(36,12)}, \end{xy} \begin{xy} {(0,0) \ar @{-}(0,20)}, {(40,0) \ar @{-}(40,20)}, {(0,0) \ar @{-}(40,0)}, {(0,20) \ar @{-}(40,20)}, (10,30) *\cir<10mm>{}, (10,-10) *\cir<10mm>{}, \end{xy} \begin{xy} (15,0) *\cir<15mm>{dl_ul}, (15,0)*{\bullet}="A", {(15,0) \ar @{-}(26,-11)}, (26,-11)*{\bullet}="A", {(15,0) \ar @{-}(4,-11)}, (4,-11)*{\bullet}="A", (15,4)*{A}="A", (29,-11)*{B}="A", (0,-11)*{B}="A", (15,-25) *\cir<10mm>{}, \end{xy} \begin{xy} (0,0) *\cir<26mm>{ur_dr}, {(0,0) \ar @{-}(18,18)}, {(0,0) \ar @{-}(-18,18)}, (0,0) *\cir<6mm>{ur_dr}, (12,9)*{4}="A", (0,36) *\cir<10mm>{}, (1,9)*{90^\circ}="A", {(0,36) \ar @{.}(-10,36)}, (-5,39)*{2}="A", \end{xy}

回転体

\begin{xy} (15,30)*{軸L}="A", {(10,-15) \ar @{-}(10,35)}, {(0,0) \ar @{-}(0,20)}, (0,0)*{\bullet}="A", (0,20)*{\bullet}="A", (-4,0)*{B}="A", (-4,20)*{A}="A", \end{xy} \begin{xy} (15,30)*{軸L}="A", {(10,-15) \ar @{-}(10,-5)}, {(10,-5) \ar @{.}(10,20)}, {(10,20) \ar @{-}(10,45)}, {(0,0) \ar @{-}(0,20)}, (0,0)*{\bullet}="A", (0,20)*{\bullet}="A", (-4,0)*{B}="A", (-4,20)*{A}="A", {(20,0) \ar @{-}(20,20)}, {(0,0) \ar @{.}(20,0)}, (0,-2)*+[o]{}="A";(20,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(10,6)&(20,3)} ?(.4)*\dir{>}; (0,2)*+[o]{}="A";(20,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-3)&(10,-6)&(20,-3)}; (0,18)*+[o]{}="A";(20,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(10,26)&(20,23)} ?(.4)*\dir{>}; (0,22)*+[o]{}="A";(20,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,17)&(10,14)&(20,17)}; (9,-8)*{};(11,-8)*{}; **\crv{(18,-10)&(10,-13)&(2,-10)} ?(.99)*\dir{>}; (9,40)*{};(11,40)*{}; **\crv{(18,38)&(10,35)&(2,38)} ?(.99)*\dir{>}; \end{xy} \begin{xy} (15,30)*{軸L}="A", {(10,-5) \ar @{-}(10,35)}, {(-10,0) \ar @{-}(0,20)}, (-10,0)*{\bullet}="A", (0,20)*{\bullet}="A", (-14,0)*{D}="A", (-4,20)*{C}="A", \end{xy} \begin{xy} (15,30)*{軸L}="A", {(10,-25) \ar @{-}(10,-8)}, {(10,-8) \ar @{.}(10,20)}, {(10,20) \ar @{-}(10,45)}, {(-10,0) \ar @{-}(0,20)}, {(-10,0) \ar @{.}(30,0)}, (-10,0)*{\bullet}="A", (0,20)*{\bullet}="A", (-14,0)*{D}="A", (-4,20)*{C}="A", {(30,0) \ar @{-}(20,20)}, (-10,-2)*+[o]{}="A";(30,-2)*+{}="B", "A";"B" **\crv{~**@{.} (-10,4)&(10,11)&(30,4)} ?(.4)*\dir{>}; (-10,2)*+[o]{}="A";(30,2)*+{}="B", "A";"B" **\crv{~**@{-} (-10,-3)&(10,-10)&(30,-3)}; (0,18)*+[o]{}="A";(20,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,22)&(10,25)&(20,22)} ?(.4)*\dir{>}; (0,22)*+[o]{}="A";(20,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,17)&(10,15)&(20,17)}; (9,-16)*{};(11,-16)*{}; **\crv{(18,-18)&(10,-21)&(2,-18)} ?(.99)*\dir{>}; (9,40)*{};(11,40)*{}; **\crv{(18,38)&(10,35)&(2,38)} ?(.99)*\dir{>}; \end{xy}

切断図

\begin{xy} (0,12)*{\bullet}="A", (10,21)*{\bullet}="A", (-10,21)*{\bullet}="A", (3,9)*{C}="A", (12,25)*{B}="A", (-12,25)*{A}="A", {(0,0) \ar @{-}(15,15)}, {(0,0) \ar @{-}(-15,15)}, {(15,15) \ar @{.}(-15,15)}, {(0,35) \ar @{-}(-15,15)}, {(0,35) \ar @{-}(15,15)}, {(0,35) \ar @{-}(0,0)}, \end{xy} \begin{xy} (0,12)*{\bullet}="A", (10,21)*{\bullet}="A", (-10,21)*{\bullet}="A", (3,9)*{C}="A", (12,25)*{B}="A", (-12,25)*{A}="A", {(0,0) \ar @{-}(15,15)}, {(0,0) \ar @{-}(-15,15)}, {(15,15) \ar @{.}(-15,15)}, {(0,35) \ar @{-}(-15,15)}, {(0,35) \ar @{-}(15,15)}, {(0,35) \ar @{-}(0,0)}, {(0,12) \ar @{-}(10,21)}, {(-10,21) \ar @{.}(10,21)}, {(-10,21) \ar @{-}(0,12)}, \end{xy} \begin{xy} (0,12)*{\bullet}="A", (10,21)*{\bullet}="A", (-10,21)*{\bullet}="A", (3,9)*{C}="A", (12,25)*{B}="A", (-12,25)*{A}="A", {(0,0) \ar @{-}(15,15)}, {(0,0) \ar @{-}(-15,15)}, {(15,15) \ar @{.}(-15,15)}, {(-15,15) \ar @{-}(-10,21)}, {(15,15) \ar @{-}(10,21)}, {(0,12) \ar @{-}(0,0)}, {(0,12) \ar @{-}(10,21)}, {(-10,21) \ar @{-}(10,21)}, {(-10,21) \ar @{-}(0,12)}, \end{xy} \begin{xy} (9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (-9,-12)*{\bullet}="A", (-13,4)*{A}="A", (-13,-14)*{B}="A", (13,20)*{C}="A", {(9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(-9,-12)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (9,0)*{\bullet}="A", (9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (-9,-12)*{\bullet}="A", (-13,4)*{A}="A", (-13,-14)*{B}="A", (13,20)*{C}="A", (13,2)*{D}="A", {(9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(-9,-12)}, {(9,0) \ar @{.}(9,18)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (9,0)*{\bullet}="A", (9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (-9,-12)*{\bullet}="A", (-13,4)*{A}="A", (-13,-14)*{B}="A", (13,20)*{C}="A", (13,2)*{D}="A", {(9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(-9,-12)}, {(9,0) \ar @{.}(9,18)}, {(9,0) \ar @{.}(-9,-12)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (9,0)*{\bullet}="A", (9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (-9,-12)*{\bullet}="A", (-13,4)*{A}="A", (-13,-14)*{B}="A", (13,20)*{C}="A", (13,2)*{D}="A", {(9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(-9,-12)}, {(9,0) \ar @{-}(9,18)}, {(9,0) \ar @{-}(-9,-12)}, {(-18,12) \ar @{-}(-9,6)}, {(0,24) \ar @{-}(9,18)}, {(0,24) \ar @{-}(-18,12)}, {(-18,12) \ar @{-}(-18,-6)}, {(-9,-12) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(9,0)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(0,-9)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,24)}, \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(9,-24)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(-18,-30) \ar @{-}(18,-6)}, {(18,-30) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(18,-6) \ar @{-}(36,-18)}, {(0,6) \ar @{.}(0,24)}, (9,-24)*{\bullet}="A", (6,-27)*{K}="A", \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(9,-24)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(-18,-30) \ar @{-}(18,-6)}, {(18,-30) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(18,-6) \ar @{-}(36,-18)}, {(0,6) \ar @{.}(0,24)}, (9,-24)*{\bullet}="A", (6,-27)*{K}="A", (9,0)*{\bullet}="A", (12,2)*{I}="A", (9,-12)*{\bullet}="A", (12,-14)*{H}="A", {(9,-24) \ar @{-}(9,0)}, \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(9,-24)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(-18,-30) \ar @{-}(18,-6)}, {(18,-30) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(18,-6) \ar @{-}(36,-18)}, {(0,6) \ar @{.}(0,24)}, (9,-24)*{\bullet}="A", (6,-27)*{K}="A", (9,0)*{\bullet}="A", (12,2)*{I}="A", (9,-12)*{\bullet}="A", (12,-14)*{H}="A", {(9,-24) \ar @{-}(9,0)}, (0,15)*{\bullet}="A", (3,15)*{J}="A", {(9,0) \ar @{.}(0,15)}, \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(9,-24)}, {(0,0) \ar @{-}(18,12)}, {(0,0) \ar @{-}(0,-18)}, {(0,0) \ar @{-}(-18,12)}, {(0,24) \ar @{-}(18,12)}, {(0,24) \ar @{-}(-18,12)}, {(18,12) \ar @{-}(18,-6)}, {(-18,12) \ar @{-}(-18,-6)}, {(-18,-30) \ar @{-}(18,-6)}, {(18,-30) \ar @{-}(-18,-6)}, {(0,6) \ar @{.}(18,-6)}, {(0,6) \ar @{.}(-18,-6)}, {(18,-6) \ar @{-}(36,-18)}, {(0,6) \ar @{.}(0,24)}, (9,-24)*{\bullet}="A", (6,-27)*{K}="A", (9,0)*{\bullet}="A", (12,2)*{I}="A", (9,-12)*{\bullet}="A", (12,-13)*{H}="A", {(9,-24) \ar @{-}(9,0)}, (0,15)*{\bullet}="A", (3,15)*{J}="A", {(9,0) \ar @{.}(0,15)}, {(-9,18) \ar @{.}(0,15)}, {(0,-9) \ar @{-}(9,-12)}, \end{xy} \begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(0,-9)}, {(0,-18) \ar @{-}(0,-9)}, {(-9,6) \ar @{-}(-18,12)}, {(-9,18) \ar @{-}(-18,12)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(9,-12)}, {(0,6) \ar @{.}(9,0)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,15)}, (9,0)*{\bullet}="A", (12,2)*{I}="A", (9,-12)*{\bullet}="A", (12,-13)*{H}="A", {(9,-12) \ar @{-}(9,0)}, (0,15)*{\bullet}="A", (3,15)*{J}="A", {(9,0) \ar @{-}(0,15)}, {(-9,18) \ar @{-}(0,15)}, {(0,-9) \ar @{-}(9,-12)}, \end{xy}
スポンサー広告

他の素材も見てみる