Last Update May 10, 1998

#### NUMERICAL SPACE / TETRA

 My favorite print artist M.C.Escher drew various polyhedrons in his works. So, I made some works using tetrahedrons for funs. For following M.C.Escher, I made the frame of tetrahedron mofifying POV-Ray standard include files' tetrahedron. Please see the right description; Stars. 1948 M.C.Escher // Shapes by Tom Price [75300,620]: #declare Tetrahedron = intersection { plane {-y,1} plane {-z,1 rotate <19.47, 0, 0>} plane {-z,1 rotate <19.47, -120, 0>} plane {-z,1 rotate <19.47, 120, 0>} } // Shapes by Tsutomu Higo : #declare Tetrahedrfm = merge { intersection { object { Tetrahedron } merge { plane {z,1.4 rotate <35.263, 180, 0>inverse} plane {z,1.4 rotate <35.263, -60, 0> inverse} plane {z,1.4 rotate <35.263, 60, 0> inverse} plane {-z,1.4 rotate <35.263, 180, 0>inverse} plane {-z,1.4 rotate <35.263, -60, 0> inverse} plane {-z,1.4 rotate <35.263, 60, 0> inverse} } } }

 merge { object { Tetrahedrfm } object { Tetrahedrfm rotate x*180 } } merge { object { Tetrahedrfm translate y*1 } object { Tetrahedrfm rotate x*180 rotate y*180 translate y*-1} } merge { object { Tetrahedrfm translate y*1 } object { Tetrahedrfm rotate x*180 rotate y*180 translate y*-1} object { Tetrahedrfm rotate <180,180,0> translate y*-2 rotate <-109.47,60,0> translate y*1 } object { Tetrahedrfm rotate <180,180,0> translate y*-2 rotate <-109.47,180,0> translate y*1 } object { Tetrahedrfm rotate <180,180,0> translate y*-2 rotate <-109.47,300,0> translate y*1 } }

Hedrons from Tetrahedron / 44k / Apr. 1998 / by Tsutomu Higo

 I simply arranged tetrahedrons regularly. But I see their various shapes with a fun.

Arranged Ttrahedrons / 61k / Apr. 1998 / by Tsutomu Higo

 I used this fog for showing the horizontal structure. #declare Orig_Fog = 1 #declare Ground_Mist= 2 fog{ fog_type Ground_Mist fog_alt 0.5 fog_offset 0 distance 2 color rgb <0.1, 0.2, 0.3> turbulence <0.05, 0.05, 0.05> omega 0.25 lambda 2.5 octaves 6 }

Arranged Frames of Tetrahedrons / 66k / Apr. 1998 / by Tsutomu Higo

 I merely repeated several times like as follows. #declare Tetrahedrg = object { Tetrahedron } #declare Ct=1 #while ( Ct < 9 ) #declare Tetrahedrg = union { object { Tetrahedrg translate < 0,0,2.8284*2> } object { Tetrahedrg translate <-2.4495*2,0,-1.4142*2> } object { Tetrahedrg translate < 2.4495*2,0,-1.4142*2> } object { Tetrahedrg translate <0,4*2,0> } } Ct=Ct*2 #end

Fractal Tetrahedron / 52k / Apr. 1998 / by Tsutomu Higo

 I put the blue or red fog as follows. Of course I put the tetrahedron in this cylinder with the texture like the fog. light_source {<0, 0.8, -10> rgb <0.6,1,1>} light_source {<0, 5.5, 0> rgb <1,0,0.5>} cylinder { <-1.5,0.8,0>,<1.5,0.8,0> 0.3 texture { pigment {marble color_map {[0.3 color rgbt <0, 0, 1, 1.0>] [1.0 color rgb <0.7, 0, 1>]} turbulence 0.4 scale 0.23 rotate y*90 translate y*30 translate x*4} finish {ambient 0 diffuse 0.8 reflection 0.} } scale 8 }

Illusion of a Tetrahedron / 32k / Apr. 1998 / by Tsutomu Higo

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