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Diffstat (limited to 'Master/texmf-dist/doc/latex/circuit-macros/examples/dpv/EscherDPV.m4')
-rw-r--r-- | Master/texmf-dist/doc/latex/circuit-macros/examples/dpv/EscherDPV.m4 | 175 |
1 files changed, 175 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/circuit-macros/examples/dpv/EscherDPV.m4 b/Master/texmf-dist/doc/latex/circuit-macros/examples/dpv/EscherDPV.m4 new file mode 100644 index 00000000000..09f2fa64989 --- /dev/null +++ b/Master/texmf-dist/doc/latex/circuit-macros/examples/dpv/EscherDPV.m4 @@ -0,0 +1,175 @@ +.PS +# EscherDPV.m4 +# https://tex.stackexchange.com/questions/129274/showcase-of-optical-illusions-made-with-tex-latex-luatex-context +threeD_init +[] +ifelse(1,1,` +[ + u=1/2.54 # unit size; could use scale for this + + define(`treadcolor',`0.8,0.75,0.7') + define(`darkgrn',`.1,.1,0') + define(`lightgrn',`.7,.7,.6') + + define(`northsteps',3) + define(`eaststeps',8) + define(`southsteps',7) + define(`weststeps',4) + define(`baselayers',10) + define(`eb',eval(baselayers+eaststeps)) + define(`ebs',eval(eb+southsteps)) + define(`under',7) + + azimuth = -45 # view angles + elevation = 25 + setview(azimuth,elevation,0) + # projected unit vectors + UX: Project(u,0,0) + UY: Project(0,-u,0) + UZ: Project(0,0,u) + # layer thickness in units of u + f= -(eaststeps*UX.y + southsteps*UY.y - weststeps*UX.y - northsteps*UY.y)/dnl + ((eaststeps+southsteps+weststeps+northsteps)*UZ.y) + # XY projection of 3D coords in units of u +define proj {UX*($1)+UY*($2)+UZ*($3)} + +define tread {line from UY/2 \ + to UY then to UY+UX then to UX then to (0,0) \ + then to UY/2 shaded rgbstring(treadcolor) \ + with .start at proj($1,$2,$3)+UY/2 } + +define wrect {line invis from (0,0) to UX*($4) \ + then to UX*($4)+UZ*($5) \ + then to UZ*($5) then to (0,0) with .start at proj($1,$2,$3) \ + shaded rgbstring(r,g,b)} + +define srect {line invis from (0,0) to UY*($4) then to UY*($4)+UZ*($5) \ + then to UZ*($5) then to (0,0) with .start at proj($1,$2,$3) \ + shaded rgbstring(r,g,b) } + # color blending +define(`blendwht',`between3D(`$1',`$2',`$3',`$4',1,1,1)') +define makergb { r = $1; g = $2; b = $3 } +define dorgb { gg = $2 + if $1==0 then { makergb(blendwht(gg,lightgrn)) } \ + else { makergb(blendwht(gg,darkgrn)) } } + +# East + for i=-under to baselayers do { + dorgb((i%2),0.2) + wrect(1,1,i*f,eaststeps-2,-f) } + for i=0 to eaststeps do { + dorgb((i%2),0.2) + wrect(i,1,(baselayers+i)*f,(eaststeps+1-i),-f) + tread(i,0,(baselayers+i)*f) + line from proj(i,1,(baselayers+i)*f) \ + to proj(i,1,(baselayers-1+i)*f) } +# South + for i=0 to eb do { + dorgb((i%2),0.4) + srect(eaststeps+1,0,i*f,southsteps+1,-f) } + for i=1 to southsteps do { + dorgb((i%2),0.4) + srect(eaststeps+1,i,(eb+i)*f,(southsteps+1-i),-f) + tread(eaststeps,i,(eb+i)*f) + line from proj(eaststeps+1,i,(eb+i)*f) \ + to proj(eaststeps+1,i,(eb+i-1)*f) } +# North + for i=-under to baselayers-northsteps-1 do { + dorgb((i%2),0.1) + srect(1,1,i*f,northsteps-1,-f) } + for i=1 to northsteps do { + dorgb((i%2),0.1) + srect(1,1,(baselayers-i)*f,i,-f) + wrect(0,1+i,(baselayers-i)*f,1,-f) + line from proj(0,1+i,(baselayers-i)*f) \ + to proj(0,1+i,(baselayers-i-1)*f) + line from proj(1,1+i,(baselayers-i)*f) \ + to proj(1,1+i,(baselayers-i-1)*f) + tread(0,i,(baselayers-i)*f) } +# West + for i=0 to ebs do { + dorgb((i%2),0.4) + wrect(eaststeps+1,southsteps+1,i*f,-(weststeps+1),-f) } + for i=0 to weststeps-1 do { + dorgb((i%2),0.4) + wrect(eaststeps-i,southsteps+1,(ebs+i+1)*f,-(weststeps-i),-f,) + srect(eaststeps-i,southsteps,(ebs+i+1)*f,1,-f) + if i!=weststeps-1 then { + line from proj(eaststeps-i,southsteps,(ebs+i+1)*f) \ + to proj(eaststeps-i,southsteps,(ebs+i)*f) } + line from proj(eaststeps-i,southsteps+1,(ebs+i+1)*f) \ + to proj(eaststeps-i,southsteps+1,(ebs+i)*f) + tread(eaststeps-(i+1),southsteps,(ebs+i+1)*f) } +# Corner lines + define(`dgreen',`outlined rgbstring(blendwht(0.2,darkgrn))') + line dgreen from proj(1,1,(baselayers-1)*f) to proj(1,1,-under*f) + line dgreen from proj(eaststeps+1,southsteps+1,ebs*f) \ + to proj(eaststeps+1,southsteps+1,-f) + line dgreen from proj(0,northsteps+1,(baselayers-northsteps)*f) \ + to last line.end-UX*(weststeps+1) then to last line.end \ + then to proj(eaststeps+1,0,-f) then to proj(eaststeps+1,0,eb*f) + ] +') + +ifelse(1,1,` +define(`DPL',`(project(`$1',`$2',`$3'))') +define(`ISL',` + S1: `$2'; E1: `$2' + `$3' + S2: `$4'; E2: `$4' + `$5' + `$1': line from S2 to intersect_(S1,E1,S2,E2) ') + +[ + bdp = 1.8 + bwd = 2.8 + bht = 1.5 + bth = bwd/10 + setview(-45,20,0) + + L1: line from DPL(0,0,0) to DPL(0,0,bht) \ + then to DPL(0,bwd,bht) \ + then to DPL(bdp,bwd,bht) \ + then to DPL(bdp,bwd,0) \ + then to DPL(bdp,0,0) \ + then to DPL(0,0,0) + L2: line from DPL(bth,bth,bht) to DPL(bth,bwd-bth,bht) \ + then to DPL(bdp-bth,bwd-bth,bht) \ + then to DPL(bdp-bth,bth,bht) \ + then to DPL(bth,bth,bht) + L3: line from DPL(bth,bth,0) to DPL(bth,bwd-bth,0) \ + then to DPL(bdp-bth,bwd-bth,0) \ + then to DPL(bdp-bth,bth,0) \ + then to DPL(bth,bth,0) + L4: line from DPL(bdp,bth,bht-bth) to DPL(bdp,bwd-bth,bht-bth) \ + then to DPL(bdp,bwd-bth,bth) \ + then to DPL(bth+bth,bwd-bth,bth) + L5: line from DPL(bdp-bth,0,bht-bth) to DPL(bth,0,bht-bth) \ + then to DPL(bth,0,bth) \ + then to DPL(bth,bwd-bth-bth,bth) + L6: line from DPL(0,0,bht) to DPL(bdp,0,bht) \ + then to DPL(bdp,bwd,bht) + L7: line from DPL(0,0,0) to DPL(0,bwd,0) \ + then to DPL(bdp,bwd,0) + ISL(L8,L4.start,UPy_,L4.end,UPz_) + ISL(L9,L4.start,UPy_,DPL(0,bwd,0),UPz_) + ISL(L10,L4.start,UPy_,L5.end,UPz_) + ISL(L11,L5.end,UPy_,L4.start,UPz_) + ISL(L12,L5.end,UPy_,DPL(bdp,0,bht),UPz_) + ISL(L13,L5.end,UPy_,L5.start,UPz_) + ISL(L14,DPL(bdp-bth,bth,bht),UPy_,DPL(bth,bwd-bth-bth,bht-bth),UPz_) + ISL(L15,L2.start,UPx_,DPL(bth,bwd-bth-bth,bht-bth),UPy_) + ISL(L16,DPL(bdp-bth,bth,bht),UPy_,DPL(bth,bwd-bth,bht),UPz_) + ISL(L17,DPL(bdp-bth,bth,bht),UPy_,DPL(bth+bth,bwd-bth,bht-bth),UPz_) + ISL(L18,DPL(bdp-bth,bth,bht),UPy_,DPL(bth+bth,bwd-bth,bht-bth),UPx_) + ISL(L19,L3.start,UPy_,L5.start+DPL(0,0,-bht+bth+bth),UPx_) + ISL(L20,L3.start,UPy_,L5.start+DPL(0,0,-bht+bth+bth),UPz_) + ISL(L21,L3.start,UPy_,DPL(bdp-bth,bth,0),UPz_) + ISL(L22,L3.start,UPy_,L4.start+DPL(0,0,-bht+bth+bth),UPz_) + ISL(L23,DPL(bth,bwd-bth,0),UPx_,L4.start+DPL(0,0,-bht+bth+bth),UPy_) + ISL(L24,L5.start,UPx_,DPL(bth,bth,bth),UPz_) + ISL(L25,L4.start,UPy_,DPL(bdp-bth,bwd-bth,bth),UPz_) + +ifelse(0,1,`for i=1 to 7 do { exec sprintf("\"L%g.s\" at L%g.start",i,i) } + for i=8 to 10 do { exec sprintf("\"L%g\" at L%g",i,i) }') +] with .sw at last [].se+(0.2,0) +') +.PE |