diff options
Diffstat (limited to '')
| -rw-r--r-- | buch/papers/clifford/3d/Makefile | 23 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/common.inc | 59 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/dq.pov | 6 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/drehung.pov | 120 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/q23.pov | 12 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/q31.pov | 12 |
6 files changed, 217 insertions, 15 deletions
diff --git a/buch/papers/clifford/3d/Makefile b/buch/papers/clifford/3d/Makefile index e6a9be3..70dffe3 100644 --- a/buch/papers/clifford/3d/Makefile +++ b/buch/papers/clifford/3d/Makefile @@ -3,11 +3,28 @@ # # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule # -all: dq.jpg +all: dq.jpg q23.jpg q31.jpg drehung.jpg -dq.png: dq.pov common.inc - povray +A0.1 +W1920 +H1080 -Odq.png dq.pov +size="+W1920 +H1080" +size="+W3840 +H2160" +dq.png: dq.pov common.inc + povray +A0.1 $(size) -Odq.png dq.pov dq.jpg: dq.png convert dq.png -density 300 -units PixelsPerInch dq.jpg +q23.png: q23.pov common.inc + povray +A0.1 $(size) -Oq23.png q23.pov +q23.jpg: q23.png + convert q23.png -density 300 -units PixelsPerInch q23.jpg + +q31.png: q31.pov common.inc + povray +A0.1 $(size) -Oq31.png q31.pov +q31.jpg: q31.png + convert q31.png -density 300 -units PixelsPerInch q31.jpg + +drehung.png: drehung.pov common.inc + povray +A0.1 $(size) -Odrehung.png drehung.pov +drehung.jpg: drehung.png + convert drehung.png -density 300 -units PixelsPerInch drehung.jpg + diff --git a/buch/papers/clifford/3d/common.inc b/buch/papers/clifford/3d/common.inc index 4bc2e7d..54aa7fe 100644 --- a/buch/papers/clifford/3d/common.inc +++ b/buch/papers/clifford/3d/common.inc @@ -11,10 +11,11 @@ global_settings { } #declare imagescale = 0.14; -#declare r = 0.04; +#declare r = 0.02; +#declare thick = 0.040; camera { - location <40, 10, 15> + location <40, 12, 15> look_at <0, 0, 0> right 16/9 * x * imagescale up y * imagescale @@ -70,12 +71,12 @@ arrow(< -3, 0, 0 >, < 3, 0, 0 >, r, White) arrow(< 0, -3, 0 >, < 0, 3, 0 >, r, White) arrow(< 0, 0, -3 >, < 0, 0, 3 >, r, White) -#macro circlearrow0(e1, e2, e3, r1, r2) +#macro circlearrow0(e1, e2, e3, r1, r2, h, winkel) mesh { #declare N = 100; #declare phi = 0; - #declare phimax = 1.8 * pi; + #declare phimax = winkel - pi / 12; #declare phistep = (phimax - phi) / N; #while (phi < phimax - phistep/2) triangle { @@ -170,7 +171,7 @@ mesh { #end -#macro circlearrow(fromdirection, axis, center, r, h) +#macro circlearrow(fromdirection, axis, center, r, h, winkel, anzahl) #declare e1 = vnormalize(fromdirection); #declare e2 = -vnormalize(vcross(axis, fromdirection)); @@ -179,27 +180,67 @@ mesh { #declare r1 = 0.4 * r; #declare r2 = r; -circlearrow0(e1, e2, e3, r1, r2) +#declare w = 0; +#while (w < anzahl) + #declare a = 2 * w * pi / anzahl; + circlearrow0(e1 * cos(a) - e2 * sin(a), e1 * sin(a) + e2 * cos(a), e3, r1, r2, 1.2 * h, winkel) + #declare w = w + 1; +#end + +mesh { + #declare vlu = center - r * e1 - r * e2 - h * e3; + #declare vlo = center - r * e1 - r * e2 + h * e3; + #declare vru = center - r * e1 + r * e2 - h * e3; + #declare vro = center - r * e1 + r * e2 + h * e3; + #declare hlu = center + r * e1 - r * e2 - h * e3; + #declare hlo = center + r * e1 - r * e2 + h * e3; + #declare hru = center + r * e1 + r * e2 - h * e3; + #declare hro = center + r * e1 + r * e2 + h * e3; + triangle { vlu, vru, vro } + triangle { vlu, vro, vlo } + + triangle { vru, hru, hro } + triangle { vru, hro, vro } + + triangle { hru, hlu, hlo } + triangle { hru, hlo, hro } + + triangle { hlu, vlu, vlo } + triangle { hlu, vlo, hlo } + + triangle { vlu, vru, hru } + triangle { vlu, hru, hlu } + + triangle { vlo, vro, hro } + triangle { vlo, hro, hlo } -box { - center - r * (e1 + e2) - 0.021 * e3, center + r * (e1 + e2) + 0.021 * e3 pigment { color rgb<0.6,0.6,1> } + finish { + specular 0.96 + metallic + } } +#if (vlength(axis) > 0.1) cone { - center + 0.02101 * e3, r, center + 2 * r * e3, 0 + center + 1.19 * h * e3, r, center + 2 * r * e3, 0 pigment { color rgbt<0.6,0.6,1,0.8> } } +#end cylinder { center, center + 2 * r * e3, 0.04*0.2 pigment { color rgb<1.0,0.6,0.6> } + finish { + specular 0.96 + metallic + } } #end diff --git a/buch/papers/clifford/3d/dq.pov b/buch/papers/clifford/3d/dq.pov index 92b702a..8002129 100644 --- a/buch/papers/clifford/3d/dq.pov +++ b/buch/papers/clifford/3d/dq.pov @@ -9,9 +9,9 @@ arrow(<0,0,0>, <1, sqrt(2), 2>, r, Red) #declare r = 0.2 * r; -circlearrow(<1,0,0>, <0,0,1>, <1, sqrt(2), 0>, 1, 0.022) -circlearrow(<1,0,0>, <0,1,0>, <1, 0, 2>, sqrt(2)/2, 0.022) -circlearrow(<0,0,1>, <1,0,0>, <0, sqrt(2), 2>, 0.5, 0.022) +circlearrow(<1,0,0>, <0,0,1>, <1, sqrt(2), 0>, 1, thick, 1.8*pi/3, 3) +circlearrow(<1,0,0>, <0,1,0>, <1, 0, 2>, sqrt(2)/2, thick, 1.8*pi/3, 3) +circlearrow(<0,0,1>, <1,0,0>, <0, sqrt(2), 2>, 0.5, thick, 1.8*pi/3, 3) #declare l = 2.8; #declare h = 0.0001; diff --git a/buch/papers/clifford/3d/drehung.pov b/buch/papers/clifford/3d/drehung.pov new file mode 100644 index 0000000..54b5a2e --- /dev/null +++ b/buch/papers/clifford/3d/drehung.pov @@ -0,0 +1,120 @@ +// +// drehung.pov -- Drehung um (1,1,1) +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#include "common.inc" + +#declare n = vnormalize(<1,1,1>); +#declare V = <0,2.6,0>; +#declare W = <0,0,2.6>; + +#declare Vparallel = vdot(n, V) * n; +#declare Vperp = V - Vparallel; +#declare Wparallel = vdot(n, W) * n; +#declare Wperp = W - Wparallel; + +arrow(<0,0,0>, 2*n, thick, Red) + +arrow(<0,0,0>, V, thick, rgb<0.0,1.0,1.0>) +arrow(<0,0,0>, W, thick, rgb<0.0,1.0,1.0>) + +circlearrow(vnormalize(vcross(<-1,0,1>,n)), -0.01 * <1,1,1>, <0,0,0>, 1, 0.8*thick, 1.98*pi/3, 3) + +arrow(<0,0,0>, Vperp, 0.99*thick, Blue) +arrow(<0,0,0>, Wperp, 0.99*thick, Blue) + +arrow(Vperp, V, thick, Green) +arrow(Wperp, W, thick, Green) + +#declare l = 2.4; +intersection { + box { <-l,-l,-l>, <l,l,l> } + //cylinder { -n, n, 3 } + plane { n, 0.01 } + plane { -n, 0.01 } + pigment { + color rgbt<0.6,0.6,1.0,0.8> + } +} + +#declare e1 = vnormalize(Vperp); +#declare e3 = n; +#declare e2 = vnormalize(vcross(e3, e1)); +#declare r = vlength(Vperp); + +mesh { + #declare phi = 0; + #declare phimax = 2*pi/3; + #declare phistep = (phimax - phi) / N; + #while (phi < phimax - phistep/2) + triangle { + <0,0,0>, + r * (cos(phi ) * e1 + sin(phi ) * e2), + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2) + } + #declare phi = phi + phistep; + #end + pigment { + color rgbt<0.2,0.2,1.0,0.4> + } +} + +union { + #declare phi = 0; + #declare phimax = 2*pi/3; + #declare phistep = (phimax - phi) / N; + #while (phi < phimax - phistep/2) + cylinder { + r * (cos(phi ) * e1 + sin(phi ) * e2), + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2), + 0.01 + } + sphere { r * (cos(phi ) * e1 + sin(phi ) * e2), 0.01 } + #declare phi = phi + phistep; + #end + pigment { + color Blue + } +} + +mesh { + #declare phi = 0; + #declare phimax = 2*pi/3; + #declare phistep = (phimax - phi) / N; + #while (phi < phimax - phistep/2) + triangle { + r * (cos(phi ) * e1 + sin(phi ) * e2), + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2), + r * (cos(phi ) * e1 + sin(phi ) * e2) + Vparallel + } + triangle { + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2), + r * (cos(phi ) * e1 + sin(phi ) * e2) + Vparallel, + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2) + Vparallel + } + #declare phi = phi + phistep; + #end + pigment { + color rgbt<0.2,1,0.2,0.4> + } +} + +union { + #declare phi = 0; + #declare phimax = 2*pi/3; + #declare phistep = (phimax - phi) / N; + #while (phi < phimax - phistep/2) + cylinder { + r * (cos(phi ) * e1 + sin(phi ) * e2) + Vparallel, + r * (cos(phi+phistep) * e1 + sin(phi+phistep) * e2) + Vparallel, + 0.01 + } + sphere { r * (cos(phi ) * e1 + sin(phi ) * e2) + Vparallel, 0.01 } + #declare phi = phi + phistep; + #end + pigment { + color Green + } +} + diff --git a/buch/papers/clifford/3d/q23.pov b/buch/papers/clifford/3d/q23.pov new file mode 100644 index 0000000..e3e5d49 --- /dev/null +++ b/buch/papers/clifford/3d/q23.pov @@ -0,0 +1,12 @@ +// +// q23.pov -- Drehung und Quaternion +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#include "common.inc" + +circlearrow(<1,0,0>, 0.01*<0,0,-1>, <0, 0, 0>, 1.0, thick, 0.98*pi/2, 4) + +arrow( <0,0,0>, <-2.0,0,0>, 0.99*thick, Blue) +arrow( <0,0,0>, <0,2.0,0>, 0.99*thick, Blue) +arrow( <0,0,0>, <0,0,2.0>, 0.99*thick, Red) diff --git a/buch/papers/clifford/3d/q31.pov b/buch/papers/clifford/3d/q31.pov new file mode 100644 index 0000000..901f838 --- /dev/null +++ b/buch/papers/clifford/3d/q31.pov @@ -0,0 +1,12 @@ +// +// q31.pov -- Drehung und Quaternion +// +// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +// +#include "common.inc" + +circlearrow(<1,0,0>, 0.01*<0,-1,0>, <0, 0, 0>, 1.0, thick, 0.98*pi/2, 4) + +arrow( <0,0,0>, <-2.0,0,0>, 0.99*thick, Blue) +arrow( <0,0,0>, <0,2.0,0>, 0.99*thick, Red) +arrow( <0,0,0>, <0,0,2.0>, 0.99*thick, Blue) |