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graphics.cpp
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#include "graphics.h"
#include "Scene.h"
#include <iostream>
#include <vector>
#include <sstream>
using namespace std;
GLdouble windowWidth, windowHeight;
int window;
Scene scene;
const int SCENE_PRESET = 0;
/**
* Create and initialize Scene objects.
*/
void initScene(int preset){
/** Create Axes **/
/// X Axis
vector<point3d> xAxisPoints({
point3d(0, 0, 0),
point3d(10, 0, 0),
point3d(1, 0, 0),
point3d(1, 0.1, 0),
point3d(2, 0, 0),
point3d(2, 0.1, 0),
point3d(3, 0, 0),
point3d(3, 0.1, 0),
point3d(4, 0, 0),
point3d(4, 0.1, 0),
point3d(5, 0, 0),
point3d(5, 0.1, 0),
point3d(6, 0, 0),
point3d(6, 0.1, 0),
point3d(7, 0, 0),
point3d(7, 0.1, 0),
point3d(8, 0, 0),
point3d(8, 0.1, 0),
point3d(9, 0, 0),
point3d(9, 0.1, 0),
point3d(10, 0, 0),
point3d(10, 0.1, 0),
});
vector<edge3d> xAxisEdges({
edge3d(xAxisPoints[0], xAxisPoints[1]),
edge3d(xAxisPoints[2], xAxisPoints[3]),
edge3d(xAxisPoints[4], xAxisPoints[5]),
edge3d(xAxisPoints[6], xAxisPoints[7]),
edge3d(xAxisPoints[8], xAxisPoints[9]),
edge3d(xAxisPoints[10], xAxisPoints[11]),
edge3d(xAxisPoints[12], xAxisPoints[13]),
edge3d(xAxisPoints[14], xAxisPoints[15]),
edge3d(xAxisPoints[16], xAxisPoints[17]),
edge3d(xAxisPoints[18], xAxisPoints[19]),
edge3d(xAxisPoints[20], xAxisPoints[21]),
});
scene.addObject(Object3D(xAxisPoints, xAxisEdges));
/// Y Axis
vector<point3d> yAxisPoints({
point3d(0, 0, 0),
point3d(0, 10, 0),
point3d(0, 1, 0),
point3d(0.1, 1, 0),
point3d(0, 2, 0),
point3d(0.1, 2, 0),
point3d(0, 3, 0),
point3d(0.1, 3, 0),
point3d(0, 4, 0),
point3d(0.1, 4, 0),
point3d(0, 5, 0),
point3d(0.1, 5, 0),
point3d(0, 6, 0),
point3d(0.1, 6, 0),
point3d(0, 7, 0),
point3d(0.1, 7, 0),
point3d(0, 8, 0),
point3d(0.1, 8, 0),
point3d(0, 9, 0),
point3d(0.1, 9, 0),
point3d(0, 10, 0),
point3d(0.1, 10, 0),
});
vector<edge3d> yAxisEdges({
edge3d(yAxisPoints[0], yAxisPoints[1]),
edge3d(yAxisPoints[2], yAxisPoints[3]),
edge3d(yAxisPoints[4], yAxisPoints[5]),
edge3d(yAxisPoints[6], yAxisPoints[7]),
edge3d(yAxisPoints[8], yAxisPoints[9]),
edge3d(yAxisPoints[10], yAxisPoints[11]),
edge3d(yAxisPoints[12], yAxisPoints[13]),
edge3d(yAxisPoints[14], yAxisPoints[15]),
edge3d(yAxisPoints[16], yAxisPoints[17]),
edge3d(yAxisPoints[18], yAxisPoints[19]),
edge3d(yAxisPoints[20], yAxisPoints[21]),
});
scene.addObject(Object3D(yAxisPoints, yAxisEdges));
/// Z Axis
vector<point3d> zAxisPoints({
point3d(0, 0, 0),
point3d(0, 0, 10),
point3d(0, 0, 1),
point3d(0.1, 0, 1),
point3d(0, 0, 2),
point3d(0.1, 0, 2),
point3d(0, 0, 3),
point3d(0.1, 0, 3),
point3d(0, 0, 4),
point3d(0.1, 0, 4),
point3d(0, 0, 5),
point3d(0.1, 0, 5),
point3d(0, 0, 6),
point3d(0.1, 0, 6),
point3d(0, 0, 7),
point3d(0.1, 0, 7),
point3d(0, 0, 8),
point3d(0.1, 0, 8),
point3d(0, 0, 9),
point3d(0.1, 0, 9),
point3d(0, 0, 10),
point3d(0.1, 0, 10),
});
vector<edge3d> zAxisEdges({
edge3d(zAxisPoints[0], zAxisPoints[1]),
edge3d(zAxisPoints[2], zAxisPoints[3]),
edge3d(zAxisPoints[4], zAxisPoints[5]),
edge3d(zAxisPoints[6], zAxisPoints[7]),
edge3d(zAxisPoints[8], zAxisPoints[9]),
edge3d(zAxisPoints[10], zAxisPoints[11]),
edge3d(zAxisPoints[12], zAxisPoints[13]),
edge3d(zAxisPoints[14], zAxisPoints[15]),
edge3d(zAxisPoints[16], zAxisPoints[17]),
edge3d(zAxisPoints[18], zAxisPoints[19]),
edge3d(zAxisPoints[20], zAxisPoints[21]),
});
scene.addObject(Object3D(zAxisPoints, zAxisEdges));
if (preset == 0){
/// Create 3d Cube
double CUBE_SIZE = 1;
vector<point3d> cube3dPoints({
point3d(1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE),
point3d(1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE),
point3d(1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE),
point3d(1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE),
point3d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE),
point3d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE),
point3d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE),
point3d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE)
});
vector<edge3d> cube3dEdges({
edge3d(cube3dPoints[0], cube3dPoints[1]),
edge3d(cube3dPoints[0], cube3dPoints[2]),
edge3d(cube3dPoints[0], cube3dPoints[4]),
edge3d(cube3dPoints[1], cube3dPoints[3]),
edge3d(cube3dPoints[1], cube3dPoints[5]),
edge3d(cube3dPoints[2], cube3dPoints[3]),
edge3d(cube3dPoints[2], cube3dPoints[6]),
edge3d(cube3dPoints[3], cube3dPoints[7]),
edge3d(cube3dPoints[4], cube3dPoints[5]),
edge3d(cube3dPoints[4], cube3dPoints[6]),
edge3d(cube3dPoints[5], cube3dPoints[7]),
edge3d(cube3dPoints[6], cube3dPoints[7])
});
scene.addObject(Object3D(cube3dPoints, cube3dEdges));
/// Create 4d Cube
vector<point4d> cube4dPoints({
point4d(1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE, 1),
point4d(1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE, 1),
point4d(1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE, 1),
point4d(1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE, 1),
point4d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE, 1),
point4d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE, 1),
point4d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE, 1),
point4d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE, 1),
point4d(1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE, -1),
point4d(1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE, -1),
point4d(1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE, -1),
point4d(1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE, -1),
point4d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, 1 * CUBE_SIZE, -1),
point4d(-1 * CUBE_SIZE, -1 * CUBE_SIZE, -1 * CUBE_SIZE, -1),
point4d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, 1 * CUBE_SIZE, -1),
point4d(-1 * CUBE_SIZE, 1 * CUBE_SIZE, -1 * CUBE_SIZE, -1),
});
vector<edge4d> cube4dEdges({
edge4d(cube4dPoints[0], cube4dPoints[1]),
edge4d(cube4dPoints[0], cube4dPoints[2]),
edge4d(cube4dPoints[0], cube4dPoints[4]),
edge4d(cube4dPoints[0], cube4dPoints[8]),
edge4d(cube4dPoints[1], cube4dPoints[3]),
edge4d(cube4dPoints[1], cube4dPoints[5]),
edge4d(cube4dPoints[1], cube4dPoints[9]),
edge4d(cube4dPoints[2], cube4dPoints[3]),
edge4d(cube4dPoints[2], cube4dPoints[10]),
edge4d(cube4dPoints[2], cube4dPoints[6]),
edge4d(cube4dPoints[3], cube4dPoints[7]),
edge4d(cube4dPoints[3], cube4dPoints[11]),
edge4d(cube4dPoints[4], cube4dPoints[5]),
edge4d(cube4dPoints[4], cube4dPoints[6]),
edge4d(cube4dPoints[4], cube4dPoints[12]),
edge4d(cube4dPoints[5], cube4dPoints[7]),
edge4d(cube4dPoints[5], cube4dPoints[13]),
edge4d(cube4dPoints[6], cube4dPoints[7]),
edge4d(cube4dPoints[6], cube4dPoints[14]),
edge4d(cube4dPoints[7], cube4dPoints[15]),
edge4d(cube4dPoints[8], cube4dPoints[9]),
edge4d(cube4dPoints[8], cube4dPoints[10]),
edge4d(cube4dPoints[8], cube4dPoints[12]),
edge4d(cube4dPoints[9], cube4dPoints[11]),
edge4d(cube4dPoints[9], cube4dPoints[13]),
edge4d(cube4dPoints[10], cube4dPoints[11]),
edge4d(cube4dPoints[10], cube4dPoints[14]),
edge4d(cube4dPoints[11], cube4dPoints[15]),
edge4d(cube4dPoints[12], cube4dPoints[13]),
edge4d(cube4dPoints[12], cube4dPoints[14]),
edge4d(cube4dPoints[13], cube4dPoints[15]),
edge4d(cube4dPoints[14], cube4dPoints[15]),
});
scene.addObject(Object4D(cube4dPoints, cube4dEdges));
} else if (preset == 1){
/// Create 600-Cell
const double CELL120_SCALE = 5;
vector<point4d> cell120Points({
point4d(0.0 * CELL120_SCALE, 0.0 * CELL120_SCALE, -0.8646837645 * CELL120_SCALE, -1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, 0.5659428717 * CELL120_SCALE, 1.367185062 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, -0.8331448501 * CELL120_SCALE, 1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, 1.100346828 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, -1.430626636 * CELL120_SCALE, 0.3778806546 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, -0.4833729193 * CELL120_SCALE, 1.367185062 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, -1.450118742 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.5174343998 * CELL120_SCALE, -0.998284754 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.5174343998 * CELL120_SCALE, 1.265486732 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.6058227472 * CELL120_SCALE, 0.0825699521 * CELL120_SCALE, -1.367185062 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.6058227472 * CELL120_SCALE, 0.6169739091 * CELL120_SCALE, 1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.6058227472 * CELL120_SCALE, 0.947253717 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.6058227472 * CELL120_SCALE, -1.316517769 * CELL120_SCALE, -0.3778806546 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, -1.297025647 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, 1.297025647 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, 1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, 0.4323418823 * CELL120_SCALE, -1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.8372264454 * CELL120_SCALE, -0.2161709413 * CELL120_SCALE, -1.222847487 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.8372264454 * CELL120_SCALE, -0.7505748982 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.8372264454 * CELL120_SCALE, -1.080854706 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -0.8372264454 * CELL120_SCALE, 1.182916781 * CELL120_SCALE, -0.3778806546 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -1.068630144 * CELL120_SCALE, 0.3497719302 * CELL120_SCALE, -0.9893043979 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -1.068630144 * CELL120_SCALE, -1.049315791 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(0.0 * CELL120_SCALE, -1.123257147 * CELL120_SCALE, -0.051031037 * CELL120_SCALE, -0.9893043979 * CELL120_SCALE),
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point4d(1.0590169944 * CELL120_SCALE, -0.1430153508 * CELL120_SCALE, -1.049315791 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, 0.2987408932 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, -0.2987408932 * CELL120_SCALE, -0.9893043979 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, 0.8331448501 * CELL120_SCALE, 0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, -0.8331448501 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, -0.051031037 * CELL120_SCALE, -0.9893043979 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, 0.051031037 * CELL120_SCALE, 0.9893043979 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, -0.9157148022 * CELL120_SCALE, -0.3778806546 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, 0.9157148022 * CELL120_SCALE, 0.3778806546 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, -0.6169739091 * CELL120_SCALE, 0.611423743 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, -0.6169739091 * CELL120_SCALE, 0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, 0.7821138131 * CELL120_SCALE, -0.3778806546 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, 0.7821138131 * CELL120_SCALE, -0.3778806546 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.748838098 * CELL120_SCALE, 0.4323418823 * CELL120_SCALE, 0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.8372264454 * CELL120_SCALE, 0.2161709413 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.8372264454 * CELL120_SCALE, 0.2161709413 * CELL120_SCALE, -0.611423743 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.8372264454 * CELL120_SCALE, -0.6485128238 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.8372264454 * CELL120_SCALE, -0.6485128238 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.9802417962 * CELL120_SCALE, -0.1336009891 * CELL120_SCALE, 0.3778806546 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.9802417962 * CELL120_SCALE, -0.1336009891 * CELL120_SCALE, 0.3778806546 * CELL120_SCALE),
point4d(1.0590169944 * CELL120_SCALE, 0.9802417962 * CELL120_SCALE, 0.4008029672 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(-1.0590169944 * CELL120_SCALE, 0.9802417962 * CELL120_SCALE, 0.4008029672 * CELL120_SCALE, 0.0 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.9171356154 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.0 * CELL120_SCALE, -0.9171356154 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.8646837645 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.0 * CELL120_SCALE, -0.8646837645 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, 0.8331448501 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, -0.8331448501 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, -0.5659428717 * CELL120_SCALE, 0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, 0.5659428717 * CELL120_SCALE, -0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, 0.4833729193 * CELL120_SCALE, 0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, -0.4833729193 * CELL120_SCALE, -0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, -0.0825688521 * CELL120_SCALE, -0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.6058227472 * CELL120_SCALE, 0.0825688521 * CELL120_SCALE, 0.6835925263 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, -0.6169739091 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(-1.1840169944 * CELL120_SCALE, 0.6058227472 * CELL120_SCALE, -0.6169739091 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.748838098 * CELL120_SCALE, 0.4323418823 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.748838098 * CELL120_SCALE, -0.4323418823 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, 0.8372264454 * CELL120_SCALE, 0.2161709413 * CELL120_SCALE, 0.3057118717 * CELL120_SCALE),
point4d(1.1840169944 * CELL120_SCALE, -0.8372264454 * CELL120_SCALE, -0.2161709413 * CELL120_SCALE, -0.3057118717 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.5668209828 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.0 * CELL120_SCALE, -0.5668209828 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.0 * CELL120_SCALE, 0.5344039562 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.0 * CELL120_SCALE, -0.5344039562 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.1430153508 * CELL120_SCALE, -0.3497719302 * CELL120_SCALE, 0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.1430153508 * CELL120_SCALE, 0.3497719302 * CELL120_SCALE, -0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.1430153508 * CELL120_SCALE, 0.5149118351 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.1430153508 * CELL120_SCALE, -0.5149118351 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.2314036982 * CELL120_SCALE, 0.2987408932 * CELL120_SCALE, 0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.2314036982 * CELL120_SCALE, -0.2987408932 * CELL120_SCALE, -0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, -0.051031037 * CELL120_SCALE, -0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, 0.051031037 * CELL120_SCALE, 0.4224834156 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.374419049 * CELL120_SCALE, -0.3813108453 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.374419049 * CELL120_SCALE, 0.3813108453 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.4628073964 * CELL120_SCALE, 0.2672019781 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.4628073964 * CELL120_SCALE, -0.2672019781 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.4628073964 * CELL120_SCALE, 0.2672019781 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.4628073964 * CELL120_SCALE, -0.2672019871 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, 0.5174343998 * CELL120_SCALE, 0.1336009891 * CELL120_SCALE, 0.1889403276 * CELL120_SCALE),
point4d(1.386271243 * CELL120_SCALE, -0.5174343998 * CELL120_SCALE, -0.1336009891 * CELL120_SCALE, -0.1889403276 * CELL120_SCALE)
});
vector<edge4d> cell120Edges({
edge4d(cell120Points[65], cell120Points[123]),
edge4d(cell120Points[178], cell120Points[180]),
edge4d(cell120Points[254], cell120Points[572]),
edge4d(cell120Points[377], cell120Points[450]),
edge4d(cell120Points[367], cell120Points[313]),
edge4d(cell120Points[454], cell120Points[507]),
edge4d(cell120Points[509], cell120Points[519]),
edge4d(cell120Points[119], cell120Points[122]),
edge4d(cell120Points[346], cell120Points[407]),
edge4d(cell120Points[371], cell120Points[421]),
edge4d(cell120Points[3], cell120Points[52]),
edge4d(cell120Points[167], cell120Points[228]),
edge4d(cell120Points[253], cell120Points[271]),
edge4d(cell120Points[90], cell120Points[142]),
edge4d(cell120Points[339], cell120Points[377]),
edge4d(cell120Points[420], cell120Points[480]),
edge4d(cell120Points[248], cell120Points[577]),
edge4d(cell120Points[172], cell120Points[185]),
edge4d(cell120Points[450], cell120Points[451]),
edge4d(cell120Points[76], cell120Points[126]),
edge4d(cell120Points[370], cell120Points[442]),
edge4d(cell120Points[495], cell120Points[537]),
edge4d(cell120Points[331], cell120Points[365]),
edge4d(cell120Points[474], cell120Points[483]),
edge4d(cell120Points[15], cell120Points[85]),
edge4d(cell120Points[270], cell120Points[290]),
edge4d(cell120Points[468], cell120Points[530]),
edge4d(cell120Points[413], cell120Points[425]),
edge4d(cell120Points[50], cell120Points[103]),
edge4d(cell120Points[351], cell120Points[303]),
edge4d(cell120Points[21], cell120Points[89]),
edge4d(cell120Points[213], cell120Points[249]),
edge4d(cell120Points[112], cell120Points[352]),
edge4d(cell120Points[358], cell120Points[430]),
edge4d(cell120Points[36], cell120Points[70]),
edge4d(cell120Points[458], cell120Points[404]),
edge4d(cell120Points[467], cell120Points[407]),
edge4d(cell120Points[353], cell120Points[337]),
edge4d(cell120Points[11], cell120Points[12]),
edge4d(cell120Points[14], cell120Points[76]),
edge4d(cell120Points[69], cell120Points[441]),
edge4d(cell120Points[327], cell120Points[404]),
edge4d(cell120Points[174], cell120Points[418]),
edge4d(cell120Points[233], cell120Points[267]),
edge4d(cell120Points[540], cell120Points[498]),
edge4d(cell120Points[317], cell120Points[310]),
edge4d(cell120Points[69], cell120Points[122]),
edge4d(cell120Points[234], cell120Points[268]),
edge4d(cell120Points[546], cell120Points[578]),
edge4d(cell120Points[71], cell120Points[139]),
edge4d(cell120Points[11], cell120Points[80]),
edge4d(cell120Points[200], cell120Points[207]),
edge4d(cell120Points[346], cell120Points[389]),
edge4d(cell120Points[341], cell120Points[342]),
edge4d(cell120Points[348], cell120Points[406]),
edge4d(cell120Points[31], cell120Points[32]),
edge4d(cell120Points[366], cell120Points[310]),
edge4d(cell120Points[169], cell120Points[227]),
edge4d(cell120Points[3], cell120Points[51]),
edge4d(cell120Points[92], cell120Points[141]),
edge4d(cell120Points[251], cell120Points[270]),
edge4d(cell120Points[224], cell120Points[256]),
edge4d(cell120Points[591], cell120Points[595]),
edge4d(cell120Points[141], cell120Points[200]),
edge4d(cell120Points[281], cell120Points[285]),
edge4d(cell120Points[51], cell120Points[111]),
edge4d(cell120Points[160], cell120Points[168]),
edge4d(cell120Points[38], cell120Points[337]),
edge4d(cell120Points[184], cell120Points[502]),
edge4d(cell120Points[367], cell120Points[425]),
edge4d(cell120Points[553], cell120Points[505]),
edge4d(cell120Points[566], cell120Points[588]),
edge4d(cell120Points[256], cell120Points[278]),
edge4d(cell120Points[212], cell120Points[503]),
edge4d(cell120Points[358], cell120Points[332]),
edge4d(cell120Points[423], cell120Points[487]),
edge4d(cell120Points[187], cell120Points[233]),
edge4d(cell120Points[18], cell120Points[24]),
edge4d(cell120Points[334], cell120Points[368]),
edge4d(cell120Points[460], cell120Points[403]),
edge4d(cell120Points[273], cell120Points[293]),
edge4d(cell120Points[476], cell120Points[533]),
edge4d(cell120Points[38], cell120Points[69]),
edge4d(cell120Points[195], cell120Points[237]),
edge4d(cell120Points[211], cell120Points[248]),
edge4d(cell120Points[97], cell120Points[161]),
edge4d(cell120Points[134], cell120Points[498]),
edge4d(cell120Points[352], cell120Points[303]),
edge4d(cell120Points[77], cell120Points[150]),
edge4d(cell120Points[208], cell120Points[218]),
edge4d(cell120Points[179], cell120Points[204]),
edge4d(cell120Points[265], cell120Points[247]),
edge4d(cell120Points[154], cell120Points[207]),
edge4d(cell120Points[122], cell120Points[482]),
edge4d(cell120Points[128], cell120Points[116]),
edge4d(cell120Points[196], cell120Points[428]),
edge4d(cell120Points[71], cell120Points[121]),
edge4d(cell120Points[472], cell120Points[538]),
edge4d(cell120Points[91], cell120Points[149]),
edge4d(cell120Points[261], cell120Points[281]),
edge4d(cell120Points[572], cell120Points[592]),
edge4d(cell120Points[318], cell120Points[310]),
edge4d(cell120Points[39], cell120Points[77]),
edge4d(cell120Points[262], cell120Points[282]),
edge4d(cell120Points[513], cell120Points[517]),
edge4d(cell120Points[351], cell120Points[421]),
edge4d(cell120Points[447], cell120Points[395]),
edge4d(cell120Points[141], cell120Points[148]),
edge4d(cell120Points[458], cell120Points[522]),
edge4d(cell120Points[370], cell120Points[309]),
edge4d(cell120Points[510], cell120Points[504]),
edge4d(cell120Points[541], cell120Points[488]),
edge4d(cell120Points[151], cell120Points[215]),
edge4d(cell120Points[313], cell120Points[314]),
edge4d(cell120Points[133], cell120Points[438]),
edge4d(cell120Points[52], cell120Points[335]),
edge4d(cell120Points[365], cell120Points[310]),
edge4d(cell120Points[31], cell120Points[65]),
edge4d(cell120Points[174], cell120Points[183]),
edge4d(cell120Points[561], cell120Points[533]),
edge4d(cell120Points[139], cell120Points[199]),
edge4d(cell120Points[194], cell120Points[211]),
edge4d(cell120Points[449], cell120Points[463]),
edge4d(cell120Points[168], cell120Points[230]),
edge4d(cell120Points[510], cell120Points[555]),
edge4d(cell120Points[222], cell120Points[226]),
edge4d(cell120Points[372], cell120Points[440]),
edge4d(cell120Points[592], cell120Points[598]),
edge4d(cell120Points[158], cell120Points[104]),
edge4d(cell120Points[588], cell120Points[598]),
edge4d(cell120Points[543], cell120Points[573]),
edge4d(cell120Points[58], cell120Points[130]),
edge4d(cell120Points[136], cell120Points[429]),
edge4d(cell120Points[429], cell120Points[486]),
edge4d(cell120Points[589], cell120Points[599]),
edge4d(cell120Points[77], cell120Points[18]),
edge4d(cell120Points[84], cell120Points[145]),
edge4d(cell120Points[13], cell120Points[20]),
edge4d(cell120Points[272], cell120Points[242]),
edge4d(cell120Points[333], cell120Points[334]),
edge4d(cell120Points[160], cell120Points[218]),
edge4d(cell120Points[366], cell120Points[428]),
edge4d(cell120Points[69], cell120Points[308]),
edge4d(cell120Points[393], cell120Points[459]),
edge4d(cell120Points[246], cell120Points[278]),
edge4d(cell120Points[582], cell120Points[586]),
edge4d(cell120Points[124], cell120Points[111]),
edge4d(cell120Points[523], cell120Points[528]),
edge4d(cell120Points[444], cell120Points[442]),
edge4d(cell120Points[46], cell120Points[89]),
edge4d(cell120Points[358], cell120Points[416]),
edge4d(cell120Points[41], cell120Points[42]),
edge4d(cell120Points[48], cell120Points[106]),
edge4d(cell120Points[157], cell120Points[146]),
edge4d(cell120Points[19], cell120Points[92]),
edge4d(cell120Points[360], cell120Points[433]),
edge4d(cell120Points[66], cell120Points[10]),
edge4d(cell120Points[4], cell120Points[301]),
edge4d(cell120Points[583], cell120Points[594]),
edge4d(cell120Points[291], cell120Points[295]),
edge4d(cell120Points[491], cell120Points[535]),
edge4d(cell120Points[328], cell120Points[406]),
edge4d(cell120Points[353], cell120Points[420]),
edge4d(cell120Points[148], cell120Points[211]),
edge4d(cell120Points[6], cell120Points[16]),
edge4d(cell120Points[321], cell120Points[390]),
edge4d(cell120Points[595], cell120Points[576]),
edge4d(cell120Points[457], cell120Points[398]),
edge4d(cell120Points[545], cell120Points[504]),