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• to remix – to adapt the work

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Code Used in Asymptote Can be reproduced with credit to me. Tomruen: do not copy or attempt to use your own version!

[asy] filldraw((0,0)--(0,224/40)--(-52/40,254/40)--(-123/40,213/40)--cycle,rgb(0.0,1.0,1.0),rgb(0.0,0.5,0.5)); filldraw(circle((-52/40,194/40),52/40),rgb(0.0,0.875,0.875)); filldraw((0,194/40)--(-26/40,239/40)--(-78/40,239/40)--(-97/40,168/40)--cycle,rgb(0.0,0.8,0.8),rgb(0.0,0.75,0.75)); draw((-52/40,194/40)--(52/40,194/40),gray); draw((-52/40,194/40)--(0,284/40),gray); draw((-52/40,194/40)--(-104/40,284/40),gray); draw((-52/40,194/40)--(-142/40,142/40),gray); dot((-52/40,194/40)); draw((52/40,194/40)--(142/40,142/40)--(194/40,52/40),rgb(0.75,0.75,0.75)+dashed); draw((-142/40,142/40)--(-194/40,52/40),rgb(0.75,0.75,0.75)+dashed); draw((-142/40,142/40)--(-194/40,232/40)--(-104/40,284/40)--(0,284/40)--(52/40,194/40),rgb(0.75,0.75,0.75)+dashed); draw((52/40,194/40)--(0,284/40)--(-104/40,284/40)--(-142/40,142/40)--cycle,rgb(0.0,0.625,0.625)+dashed); add(pathticks((-52/40,194/40)--(0,194/40),1,0.5,0,390/40)); add(pathticks((0,194/40)--(52/40,194/40),1,0.5,0,390/40)); add(pathticks((-52/40,194/40)--(-26/40,239/40),1,0.5,0,390/40)); add(pathticks((-26/40,239/40)--(0,284/40),1,0.5,0,390/40)); add(pathticks((-52/40,194/40)--(-78/40,239/40),1,0.5,0,390/40)); add(pathticks((-78/40,239/40)--(-104/40,284/40),1,0.5,0,390/40)); add(pathticks((-52/40,194/40)--(-97/40,168/40),1,0.5,0,390/40)); add(pathticks((-97/40,168/40)--(-142/40,142/40),1,0.5,0,390/40)); draw(rightanglemark((-142/40,142/40),(-97/40,168/40),(-123/40,213/40))); draw(rightanglemark((-123/40,213/40),(-78/40,239/40),(-104/40,284/40))); draw(rightanglemark((0,224/40),(-26/40,239/40),(0,284/40))); draw(rightanglemark((0,224/40),(0,194/40),(52/40,194/40))); draw((0,0)--(0,224/40)--(-52/40,254/40)--(-123/40,213/40)--cycle,rgb(0.0,0.5,0.5)); draw(circle((-52/40,194/40),52/40)); label("Circle in semiplanigon \textcolor[rgb]{0.0,0.5,0.5}{V$3^2.4.12$}.",(-52/40,-30/40)); [/asy] [asy] pair A,B,C,D,E,F,G,H,I,J,K,L,M,N; A=(-52/40,-52/40); B=(-52/40,52/40); C=(52/40,-52/40); D=(52/40,52/40); E=(0,142/40); F=(142/40,0); G=(0,246/40); H=(52/40,336/40); I=(246/40,0); J=(336/40,52/40); K=(A+B+C+D)/4; L=(B+D+E)/3; M=(C+D+F)/3; N=(194/40,194/40); filldraw(K--L--N--M--cycle,rgb(1.0,1.0,0.0),rgb(0.5,0.5,0.0)); filldraw(circle(D,52/40),rgb(0.875,0.875,0)); filldraw((B+D)/2--(C+D)/2--(D+F)/2--(D+E)/2--cycle,rgb(0.8,0.8,0.0),rgb(0.75,0.75,0.0)); draw(D--B,gray); draw(D--C,gray); draw(D--F,gray); draw(D--E,gray); dot(D); draw(J--I--F--C--A--B--E--G--H,rgb(0.75,0.75,0.75)+dashed); draw(B--C--F--E--cycle,rgb(0.625,0.625,0.0)+dashed); add(pathticks(D--(B+D)/2,1,0.5,0,390/40)); add(pathticks(B--(B+D)/2,1,0.5,0,390/40)); add(pathticks(D--(C+D)/2,1,0.5,0,390/40)); add(pathticks(C--(C+D)/2,1,0.5,0,390/40)); add(pathticks(D--(F+D)/2,1,0.5,0,390/40)); add(pathticks(F--(F+D)/2,1,0.5,0,390/40)); add(pathticks(D--(E+D)/2,1,0.5,0,390/40)); add(pathticks(E--(E+D)/2,1,0.5,0,390/40)); draw(rightanglemark(K,(B+D)/2,B)); draw(rightanglemark(K,(C+D)/2,C)); draw(rightanglemark(N,(E+D)/2,E)); draw(rightanglemark(N,(F+D)/2,F)); draw(circle(D,52/40)); label("Circle in semiplanigon \textcolor[rgb]{0.5,0.5,0.0}{V$3.4.3.12$}.",(52/40,-82/40)); [/asy] [asy] pair A,B,C,D,E,F,G,H,I,J,K,L,M; A=(104/40,0); B=(52/40,90/40); C=(52/40,-90/40); D=(0,0); E=(0,180/40); F=(0,-180/40); G=(-104/40,180/40); H=(-104/40,-180/40); I=(-52/40,90/40); J=(-52/40,-90/40); K=(A+B+D)/3; L=(A+C+D)/3; M=(-104/40,0); filldraw(I--J--L--K--cycle,rgb(1.0,0.0,1.0),rgb(0.5,0.0,0.5)); filldraw(circle(D,52/40),rgb(0.875,0.0,0.875)); filldraw((B+D)/2--(A+D)/2--(C+D)/2--(M+D)/2--cycle,rgb(0.8,0.0,0.8),rgb(0.75,0.0,0.75)); draw(D--B,gray); draw(D--A,gray); draw(D--C,gray); draw(D--M,gray); dot(D); draw(G--E--A--F--H,rgb(0.75,0.75,0.75)+dashed); draw(B--A--C--M--cycle,rgb(0.625,0.0,0.625)+dashed); add(pathticks(D--(B+D)/2,1,0.5,0,390/40)); add(pathticks(B--(B+D)/2,1,0.5,0,390/40)); add(pathticks(D--(A+D)/2,1,0.5,0,390/40)); add(pathticks(A--(A+D)/2,1,0.5,0,390/40)); add(pathticks(D--(C+D)/2,1,0.5,0,390/40)); add(pathticks(C--(C+D)/2,1,0.5,0,390/40)); add(pathticks(D--(M+D)/2,1,0.5,0,390/40)); add(pathticks(M--(M+D)/2,1,0.5,0,390/40)); draw(rightanglemark(A,(A+D)/2,C)); draw(rightanglemark(B,(B+D)/2,I)); draw(rightanglemark(C,(C+D)/2,J)); draw(rightanglemark(M,(M+D)/2,J)); draw(circle(D,52/40)); label("Circle in semiplanigon \textcolor[rgb]{0.5,0.0,0.5}{V$3^2.6^2$}.",(0,-210/40)); [/asy] [asy] pair A,B,C,D,E,F,G,H,I,J,K,L,M; A=(-104/40,0); B=(0,-104/40); C=(104/40,0); D=(0,0); E=(52/40,90/40); F=(0,180/40); G=(-104/40,180/40); H=(-104/40,-104/40); I=(104/40,-104/40); J=(-52/40,90/40); K=(A+B+D+H)/4; L=(B+C+D+I)/4; M=(C+D+E)/3; filldraw(J--K--L--M--cycle,rgb(0.5,0.5,1.0),rgb(0.0,0.0,1.0)); filldraw(circle(D,52/40),rgb(0.375,0.375,1.0)); filldraw((A+D)/2--(B+D)/2--(C+D)/2--(E+D)/2--cycle,rgb(0.3,0.3,1.0),rgb(0.25,0.25,1.0)); draw(D--A,gray); draw(D--B,gray); draw(D--C,gray); draw(D--E,gray); dot(D); draw(A--H--I--C--F--G,rgb(0.75,0.75,0.75)+dashed); draw(A--B--C--E--cycle,rgb(0.125,0.125,1.0)+dashed); add(pathticks(D--(A+D)/2,1,0.5,0,390/40)); add(pathticks(A--(A+D)/2,1,0.5,0,390/40)); add(pathticks(D--(B+D)/2,1,0.5,0,390/40)); add(pathticks(B--(B+D)/2,1,0.5,0,390/40)); add(pathticks(D--(C+D)/2,1,0.5,0,390/40)); add(pathticks(C--(C+D)/2,1,0.5,0,390/40)); add(pathticks(D--(E+D)/2,1,0.5,0,390/40)); add(pathticks(E--(E+D)/2,1,0.5,0,390/40)); draw(rightanglemark(A,(A+D)/2,J)); draw(rightanglemark(B,(B+D)/2,K)); draw(rightanglemark(C,(C+D)/2,M)); draw(rightanglemark(E,(E+D)/2,J)); draw(circle(D,52/40)); label("Circle in semiplanigon \textcolor[rgb]{0.0,0.0,1.0}{V$3.4^2.6$}.",(0,-134/40)); [/asy]