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EVGVirEVGVir
committedMay 4, 2016
Initial version.
Conceptual version supports cubes generation and layers rotation.
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‎.gitignore

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*~
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*.bak
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*.png

‎LICENSE

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MIT License
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Copyright (c) 2016 Evgeny Gagauz
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.

‎README.md

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POV-Ray Rubik's Cube
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====================
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A set of [POV-Ray](http://povray.org) macros to generate Rubik's Cubes
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of different sizes.

‎rubik-cube.pov

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#include "colors.inc"
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#include "transforms.inc"
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#include "shapes.inc"
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camera {
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location <2, 2, -7>
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look_at <0, 0, 0>
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}
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light_source {
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<2, 4, -3>
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color White
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}
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light_source {
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<4, 2, -3>
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color White
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}
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// Axis
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cylinder {
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<0, 0, 0>, <5, 0, 0>, 0.01
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open
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pigment { Red }
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}
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cylinder {
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<0, 0, 0>, <0, 5, 0>, 0.01
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open
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pigment { Green }
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}
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cylinder {
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<0, 0, 0>, <0, 0, 5>, 0.01
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open
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pigment { Blue }
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}
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// Cube
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#declare classic_colors = array[6] {Blue, Red, Yellow, Green, Orange, White};
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#macro create_part(colors)
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object {
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Round_Box(<-0.5, -0.5, -0.5>, <0.5, 0.5, 0.5>, 0.1, 1)
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pigment {
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cubic colors[0], colors[1], colors[2], colors[3], colors[4], colors[5]
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}
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translate <0.5, 0.5, 0.5>
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}
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#end
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#macro get_all_parts(dim_x, dim_y, dim_z, colors)
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#local parts = array[dim_x * dim_y * dim_z];
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#for (pos_x, 0, dim_x - 1)
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#for (pos_y, 0, dim_y - 1)
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#for (pos_z, 0, dim_z - 1)
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#local part_colors = colors;
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#if (pos_x != 0) #local part_colors[3] = Black; #end
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#if (pos_x != dim_x - 1) #local part_colors[0] = Black; #end
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#if (pos_y != 0) #local part_colors[4] = Black; #end
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#if (pos_y != dim_y - 1) #local part_colors[1] = Black; #end
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#if (pos_z != 0) #local part_colors[5] = Black; #end
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#if (pos_z != dim_z - 1) #local part_colors[2] = Black; #end
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#local parts[pos_x + pos_y * dim_x + pos_z * dim_x * dim_y] =
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object {
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create_part(part_colors)
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transform {
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translate <pos_x, pos_y, pos_z> - <dim_x / 2, dim_y / 2, dim_z / 2>
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}
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}
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#end
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#end
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#end
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parts
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#end
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#macro rotate_by_x(dim_x, dim_y, dim_z, parts, layer, a)
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#local new_parts = parts;
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#for (pos_y, 0, dim_y - 1)
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#for (pos_z, 0, dim_z - 1)
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#local new_pos_y = dim_y - pos_z - 1;
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#local new_pos_z = pos_y;
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#local new_parts[layer + new_pos_y * dim_x + new_pos_z * dim_x * dim_y] =
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object {
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parts[layer + pos_y * dim_x + pos_z * dim_x * dim_y]
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transform {
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rotate a * x
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}
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}
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#end
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#end
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new_parts
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#end
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#macro rotate_by_y(dim_x, dim_y, dim_z, parts, layer, a)
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#local new_parts = parts;
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#for (pos_x, 0, dim_x - 1)
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#for (pos_z, 0, dim_z - 1)
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#local new_pos_x = dim_x - pos_z - 1;
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#local new_pos_z = pos_x;
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#local new_parts[new_pos_x + layer * dim_x + new_pos_z * dim_x * dim_y] =
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object {
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parts[pos_x + layer * dim_x + pos_z * dim_x * dim_y]
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transform {
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rotate a * y
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}
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}
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#end
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#end
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new_parts
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#end
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#macro rotate_by_z(dim_x, dim_y, dim_z, parts, layer, a)
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#local new_parts = parts;
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#for (pos_x, 0, dim_x - 1)
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#for (pos_y, 0, dim_y - 1)
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#local new_pos_x = dim_x - pos_y - 1;
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#local new_pos_y = pos_x;
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#local new_parts[new_pos_x + new_pos_y * dim_x + layer * dim_x * dim_y] =
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object {
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parts[pos_x + pos_y * dim_x + layer * dim_x * dim_y]
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transform {
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rotate a * z
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}
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}
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#end
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#end
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new_parts
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#end
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#macro move_parts(dim_x, dim_y, dim_z, parts, movement)
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// todo check that movement is valid.
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#if (movement.x != 0)
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#switch (movement.x)
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#case (-90)
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#local parts = rotate_by_x(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (180) #case (-180)
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#local parts = rotate_by_x(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (90)
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#local parts = rotate_by_x(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#end
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#elseif (movement.y != 0)
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#switch (movement.y)
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#case (-90)
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#local parts = rotate_by_y(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (180) #case (-180)
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#local parts = rotate_by_y(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (90)
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#local parts = rotate_by_y(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#end
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#elseif (movement.z != 0)
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#switch (movement.z)
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#case (-90)
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#local parts = rotate_by_z(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (180) #case (-180)
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#local parts = rotate_by_z(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#case (90)
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#local parts = rotate_by_z(dim_x, dim_y, dim_z, parts, movement.t, 90);
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#end
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#end
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parts
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#end
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#macro create_cube(dim_x, dim_y, dim_z, colors, movements)
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#local parts = get_all_parts(dim_x, dim_y, dim_z, colors)
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#for (movementIx, 0, dimension_size(movements, 1) - 1)
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#local parts = move_parts(dim_x, dim_y, dim_z, parts, movements[movementIx]);
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#end
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union {
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#for (item, 0, dim_x * dim_y * dim_z - 1)
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object { parts[item] }
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#end
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}
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#end
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create_cube(
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3, 3, 3, classic_colors,
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array[4] {<90, 0, 0, 1>, <0, 0, 90, 1>, <-90, 0, 0, 1>, <0, 0, -90, 1>}
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)

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