def openConvexFromVertList(vertices, name=None, description=None, path=None): if vertices: gfFigure=[vertices]+[[]]*len(vertices[0]) gfFigure=gf.figureConvexHullUpdate(gfFigure) gf.figureOpen(gfFigure) else: gf.close() if figureInfo: figureInfo.setNameDescPath(name, description, path)
def onSnapshotRestore(oldIndex):
newIndex=getState("index")
preserveRotation = (abs(newIndex-oldIndex)==1 and not getState("new", max(oldIndex,newIndex)))
gf.figureOpen(getState("gfFigure"), preserveRotation)
selectedVertex=getState("selectedVertex")
if selectedVertex>=0:
gf.vertexSelect(selectedVertex)
else:
gf.vertexDeselect()
def openConvexFromVertList(vertices, name=None, description=None, path=None):
if vertices:
gfFigure = [vertices] + [[]] * len(vertices[0])
gfFigure = gf.figureConvexHullUpdate(gfFigure)
gf.figureOpen(gfFigure)
else:
gf.close()
if figureInfo:
figureInfo.setNameDescPath(name, description, path)
def onSnapshotRestore(oldIndex):
newIndex = getState("index")
preserveRotation = (abs(newIndex - oldIndex) == 1
and not getState("new", max(oldIndex, newIndex)))
gf.figureOpen(getState("gfFigure"), preserveRotation)
selectedVertex = getState("selectedVertex")
if selectedVertex >= 0:
gf.vertexSelect(selectedVertex)
else:
gf.vertexDeselect()
def open(newGfFigure, byName):
global gfFigure
global figsByName
global instructions
gfFigure=newGfFigure
figsByName=byName
gf.figureOpen(gfFigure)
gf.clear()
sleep()
instructions=deque()
gf.map("<enter>", "debugPlayback.play()")
def commandStellate(): figures=objFigure.fromGfFigure(gf.figureGet()) if figureInfo: name,desc=figureInfo.getNameDesc() figures=[stellateFigure(f) for f in figures] if name: name="Stellated " + name desc=None gf.figureOpen(objFigure.toGfFigure(figures), True) if figureInfo: figureInfo.setNameDescPath(name, desc)
def commandCreateDual():
figures=objFigure.fromGfFigure(gf.figureGet())
for f in figures:
if not check.isFigureConvex(f):
raise RuntimeError("The figure is not convex")
if figureInfo:
name, desc = figureInfo.getNameDesc()
figures=[createDual(f) for f in figures]
gf.figureOpen(objFigure.toGfFigure(figures), True)
if figureInfo:
figureInfo.setNameDescPath("Dual of " + name, None)
def commandCreateDual():
figures=objFigure.fromGfFigure(gf.figureGet())
for f in figures:
if not check.isFigureConvex(f):
raise RuntimeError("The figure is not convex")
if figureInfo:
name, desc = figureInfo.getNameDesc()
figures=[createDual(f) for f in figures]
gf.figureOpen(objFigure.toGfFigure(figures), True)
if figureInfo:
figureInfo.setNameDescPath("Dual of " + name, None)
def commandCutOff(lastCoordinate=0):
gfFigure=gf.figureGet()
if gfFigure:
gfFigure[0]=[gf.posRotate(p) for p in gfFigure[0]]
figures=objFigure.fromGfFigure(gfFigure)
if not figures:
raise RuntimeError("Nothing opened")
dim=figures[0].spaceDim
hyperplane=algebra.Hyperplane((0,)*(dim-1)+(1,), lastCoordinate)
newFigures=[]
for f in figures:
newFigures.extend(cutFigure(f, hyperplane)[0])
gfFigure=objFigure.toGfFigure(newFigures)
if gfFigure:
gfFigure[0]=[gf.posRotateBack(p) for p in gfFigure[0]]
if figureInfo:
name, desc=figureInfo.getNameDesc()
gf.figureOpen(gfFigure, True)
if figureInfo:
figureInfo.setNameDescPath("Truncated "+name, None)
def redraw(): #gfFigureTmp=[[f for f in layer if len(f)>1] for layer in gfFigure] #gfFigureTmp[2]=[f for f in gfFigureTmp[2] if reduce(lambda x,f2:x^gfFigureTmp tmpGfFigure=[] tmpMappingOldR=None for i in range(0, len(gfFigure)): tmpMapping=[] tmpMappingR=[] for j in range(0, len(gfFigure[i])): if (i==0 or len([k for k in gfFigure[i][j] if tmpMappingOldR[k]!=None])>1) and (i!=2 or reduce(lambda x,e:x^(2**gfFigure[1][e][0])^(2**gfFigure[1][e][1]), gfFigure[i][j], 0)==0): tmpMappingR.append(len(tmpMapping)) tmpMapping.append(j) else: tmpMappingR.append(None) tmpGfFigure.append([gfFigure[i][j] for j in tmpMapping]) if i>0: tmpGfFigure[i]=[[tmpMappingOldR[k] for k in f if tmpMappingOldR[k]!=None] for f in tmpGfFigure[i]] tmpMappingOldR=tmpMappingR gf.figureOpen(tmpGfFigure, True) return sleep()
def commandCutFigure(lastCoordinate=0):
gfFigure=gf.figureGet()
gfFigure[0]=[gf.posRotate(p) for p in gfFigure[0]]
figures=objFigure.fromGfFigure(gfFigure)
if not figures:
raise RuntimeError("Nothing opened")
dim=figures[0].spaceDim
if dim<=0:
raise RuntimeError("The figure cannot be cut")
hyperplane=algebra.Hyperplane((0,)*(dim-1)+(1,), lastCoordinate)
newFigures=[]
for f in figures:
newFigures.extend(cutFigure(f, hyperplane)[1])
gfFigure=objFigure.toGfFigure(newFigures)
if gfFigure:
gfFigure[0]=[p[:-1] for p in gfFigure[0]]
del gfFigure[dim]
if figureInfo:
name, desc=figureInfo.getNameDesc()
gf.figureOpen(gfFigure)
if figureInfo:
figureInfo.setNameDescPath("Cross-section of "+name, None)
def commandCutFaces(dim=2, ratio=0.1):
if ratio>=1 or ratio<=0:
raise RuntimeError("Wrong ratio")
figures=objFigure.fromGfFigure(gf.figureGet())
for f in figures:
if not check.isFigureConvex(f):
raise RuntimeError("The figure is not convex")
if figureInfo:
name, desc = figureInfo.getNameDesc()
figures2=[]
for f in figures:
figures2.extend(cutOffFacesDim(f, ratio, dim))
gf.figureOpen(objFigure.toGfFigure(figures2), True)
gf.clear()
if dim==0:
name = name + " with vertices cut off"
elif dim==1:
name = name + " with edges cut off"
else:
name = name + " with " + str(dim) + "-faces cut off"
if figureInfo:
figureInfo.setNameDescPath(name, None)
import gf
import math
gf.figureOpen([[(math.sqrt(2) / 2, -math.sqrt(2) / 2),
(math.sqrt(2) / 2, math.sqrt(2) / 2),
(-math.sqrt(2) / 2, math.sqrt(2) / 2),
(-math.sqrt(2) / 2, -math.sqrt(2) / 2)],
[[3, 0], [0, 1], [1, 2], [2, 3]], [[0, 1, 2, 3]]])
try:
import figureInfo
figureInfo.setNameDescPath('Square', '2-cube.\n2-orthoplex.', __file__)
except ImportError:
pass
import gf
gf.figureOpen([[()]])
try:
import figureInfo
figureInfo.setNameDescPath('Point', '0-simplex.\n0-cube.', __file__)
except ImportError:
pass
import gf
gf.figureOpen([[(-1.0, 0.0, 0.0, 0.0), (0.0, -1.0, 0.0, 0.0), (0.0, 0.0, -1.0, 0.0), (0.0, 0.0, 0.0, -1.0), (1.0, 0.0, 0.0, 0.0), (0.0, 1.0, 0.0, 0.0), (0.0, 0.0, 1.0, 0.0), (0.0, 0.0, 0.0, 1.0)], [[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3], [1, 4], [2, 4], [3, 4], [0, 5], [2, 5], [3, 5], [4, 5], [1, 6], [3, 6], [4, 6], [0, 6], [5, 6], [0, 7], [1, 7], [6, 7], [4, 7], [5, 7], [2, 7]], [[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4], [2, 7, 6], [4, 8, 6], [5, 8, 7], [1, 10, 9], [3, 11, 9], [5, 11, 10], [7, 12, 10], [8, 12, 11], [4, 14, 13], [6, 15, 13], [8, 15, 14], [3, 14, 16], [9, 17, 16], [11, 17, 14], [12, 17, 15], [0, 13, 16], [0, 19, 18], [16, 20, 18], [13, 20, 19], [6, 21, 19], [15, 20, 21], [9, 22, 18], [17, 20, 22], [12, 22, 21], [2, 23, 19], [7, 21, 23], [1, 23, 18], [10, 22, 23]], [[0, 1, 2, 3], [3, 4, 5, 6], [2, 7, 8, 9], [6, 9, 10, 11], [5, 12, 13, 14], [8, 15, 16, 17], [11, 14, 17, 18], [1, 19, 15, 12], [19, 20, 21, 22], [13, 23, 22, 24], [16, 25, 21, 26], [18, 27, 24, 26], [4, 28, 23, 29], [7, 30, 25, 31], [10, 29, 31, 27], [0, 20, 30, 28]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular hexadecachoron', '4-dimensional octahedron (4-orthoplex).\nOne of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are tetrahedral.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-0.5773502588272095, -0.5773502588272095, -0.5773502588272095), (-0.5773502588272095, -0.5773502588272095, 0.5773502588272095), (-0.5773502588272095, 0.5773502588272095, -0.5773502588272095), (-0.5773502588272095, 0.5773502588272095, 0.5773502588272095), (0.5773502588272095, -0.5773502588272095, -0.5773502588272095), (0.5773502588272095, -0.5773502588272095, 0.5773502588272095), (0.5773502588272095, 0.5773502588272095, -0.5773502588272095), (0.5773502588272095, 0.5773502588272095, 0.5773502588272095), (0.0, 0.35682210326194763, 0.9341723322868347), (0.35682210326194763, 0.9341723322868347, 0.0), (0.9341723322868347, 0.0, 0.35682210326194763), (0.0, 0.35682210326194763, -0.9341723322868347), (0.35682210326194763, -0.9341723322868347, 0.0), (-0.9341723322868347, 0.0, 0.35682210326194763), (0.0, -0.35682210326194763, 0.9341723322868347), (-0.35682210326194763, 0.9341723322868347, 0.0), (0.9341723322868347, 0.0, -0.35682210326194763), (0.0, -0.35682210326194763, -0.9341723322868347), (-0.35682210326194763, -0.9341723322868347, 0.0), (-0.9341723322868347, 0.0, -0.35682210326194763)], [[5, 10], [5, 14], [8, 14], [7, 10], [7, 8], [2, 11], [2, 15], [9, 15], [6, 11], [6, 9], [4, 12], [4, 16], [10, 16], [5, 12], [6, 16], [7, 9], [4, 17], [11, 17], [0, 17], [0, 18], [12, 18], [1, 14], [1, 18], [0, 19], [2, 19], [13, 19], [1, 13], [8, 3], [13, 3], [15, 3]], [[0, 3, 4, 2, 1], [5, 8, 9, 7, 6], [10, 13, 0, 12, 11], [3, 15, 9, 14, 12], [11, 14, 8, 17, 16], [18, 16, 10, 20, 19], [21, 1, 13, 20, 22], [23, 18, 17, 5, 24], [19, 22, 26, 25, 23], [27, 2, 21, 26, 28], [7, 15, 4, 27, 29], [28, 25, 24, 6, 29]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Dodecahedron', 'One of the five Platonic Solids (regular polyhedra).\nIts faces are pentagonal.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-1.0, 0.0, 0.0), (1.0, 0.0, 0.0), (0.0, -1.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, -1.0), (0.0, 0.0, 1.0)], [[0, 2], [0, 4], [2, 4], [1, 2], [1, 4], [0, 5], [2, 5], [1, 5], [0, 3], [4, 3], [5, 3], [1, 3]], [[0, 2, 1], [3, 2, 4], [0, 6, 5], [3, 6, 7], [1, 9, 8], [5, 10, 8], [7, 10, 11], [4, 9, 11]], [[0, 1, 2, 3, 4, 5, 6, 7]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Octahedron', 'One of the five Platonic Solids (regular polyhedra).\nIts faces are triangular.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-1.0,), (1.0,)], [[0, 1]]])
try:
import figureInfo
figureInfo.setNameDescPath('Abscissa', '1-simplex.\n1-cube.\n1-orthoplex.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[()]])
try:
import figureInfo
figureInfo.setNameDescPath('Point', '0-simplex.\n0-cube.', __file__)
except ImportError: pass
import gf
gf.figureOpen([
[
(0.5, -0.8660253882408142),
(1.0, 0),
(0.5, 0.8660253882408142),
(-0.5, 0.8660253882408142),
(-1.0, 0),
(-0.5, -0.8660253882408142)
], [[4, 5], [5, 0], [0, 1], [1, 2], [2, 3], [3, 4]], [[0, 1, 2, 3, 4, 5]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Hexagon', None, __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-0.5, -0.5, -0.5, -0.5), (-0.5, -0.5, -0.5, 0.5), (-0.5, -0.5, 0.5, -0.5), (-0.5, -0.5, 0.5, 0.5), (-0.5, 0.5, -0.5, -0.5), (-0.5, 0.5, -0.5, 0.5), (-0.5, 0.5, 0.5, -0.5), (-0.5, 0.5, 0.5, 0.5), (0.5, -0.5, -0.5, -0.5), (0.5, -0.5, -0.5, 0.5), (0.5, -0.5, 0.5, -0.5), (0.5, -0.5, 0.5, 0.5), (0.5, 0.5, -0.5, -0.5), (0.5, 0.5, -0.5, 0.5), (0.5, 0.5, 0.5, -0.5), (0.5, 0.5, 0.5, 0.5), (-1.0, 0.0, 0.0, 0.0), (0.0, -1.0, 0.0, 0.0), (0.0, 0.0, -1.0, 0.0), (0.0, 0.0, 0.0, -1.0), (1.0, 0.0, 0.0, 0.0), (0.0, 1.0, 0.0, 0.0), (0.0, 0.0, 1.0, 0.0), (0.0, 0.0, 0.0, 1.0), (-0.80901700258255, -0.5, -0.30901700258255005, 0.0), (-0.80901700258255, -0.30901700258255005, 0.0, -0.5), (-0.80901700258255, 0.0, -0.5, -0.30901700258255005), (-0.5, -0.30901700258255005, -0.80901700258255, 0.0), (-0.30901700258255005, -0.80901700258255, -0.5, 0.0), (-0.30901700258255005, -0.5, 0.0, -0.80901700258255), (0.0, -0.5, -0.80901700258255, -0.30901700258255005), (-0.5, 0.0, -0.30901700258255005, -0.80901700258255), (0.0, -0.80901700258255, -0.30901700258255005, -0.5), (-0.5, -0.80901700258255, 0.0, -0.30901700258255005), (-0.30901700258255005, 0.0, -0.80901700258255, -0.5), (0.0, -0.30901700258255005, -0.5, -0.80901700258255), (-0.80901700258255, -0.5, 0.30901700258255005, 0.0), (-0.80901700258255, 0.30901700258255005, 0.0, -0.5), (-0.80901700258255, 0.0, -0.5, 0.30901700258255005), (-0.5, 0.30901700258255005, -0.80901700258255, 0.0), (0.30901700258255005, -0.80901700258255, -0.5, 0.0), (0.30901700258255005, -0.5, 0.0, -0.80901700258255), (0.0, -0.5, -0.80901700258255, 0.30901700258255005), (-0.5, 0.0, 0.30901700258255005, -0.80901700258255), (0.0, -0.80901700258255, 0.30901700258255005, -0.5), (-0.5, -0.80901700258255, 0.0, 0.30901700258255005), (0.30901700258255005, 0.0, -0.80901700258255, -0.5), (0.0, 0.30901700258255005, -0.5, -0.80901700258255), (-0.80901700258255, 0.5, -0.30901700258255005, 0.0), (-0.80901700258255, -0.30901700258255005, 0.0, 0.5), (-0.80901700258255, 0.0, 0.5, -0.30901700258255005), (0.5, -0.30901700258255005, -0.80901700258255, 0.0), (-0.30901700258255005, -0.80901700258255, 0.5, 0.0), (-0.30901700258255005, 0.5, 0.0, -0.80901700258255), (0.0, 0.5, -0.80901700258255, -0.30901700258255005), (0.5, 0.0, -0.30901700258255005, -0.80901700258255), (0.0, -0.80901700258255, -0.30901700258255005, 0.5), (0.5, -0.80901700258255, 0.0, -0.30901700258255005), (-0.30901700258255005, 0.0, -0.80901700258255, 0.5), (0.0, -0.30901700258255005, 0.5, -0.80901700258255), (-0.80901700258255, 0.5, 0.30901700258255005, 0.0), (-0.80901700258255, 0.30901700258255005, 0.0, 0.5), (-0.80901700258255, 0.0, 0.5, 0.30901700258255005), (0.5, 0.30901700258255005, -0.80901700258255, 0.0), (0.30901700258255005, -0.80901700258255, 0.5, 0.0), (0.30901700258255005, 0.5, 0.0, -0.80901700258255), (0.0, 0.5, -0.80901700258255, 0.30901700258255005), (0.5, 0.0, 0.30901700258255005, -0.80901700258255), (0.0, -0.80901700258255, 0.30901700258255005, 0.5), (0.5, -0.80901700258255, 0.0, 0.30901700258255005), (0.30901700258255005, 0.0, -0.80901700258255, 0.5), (0.0, 0.30901700258255005, 0.5, -0.80901700258255), (0.80901700258255, -0.5, -0.30901700258255005, 0.0), (0.80901700258255, -0.30901700258255005, 0.0, -0.5), (0.80901700258255, 0.0, -0.5, -0.30901700258255005), (-0.5, -0.30901700258255005, 0.80901700258255, 0.0), (-0.30901700258255005, 0.80901700258255, -0.5, 0.0), (-0.30901700258255005, -0.5, 0.0, 0.80901700258255), (0.0, -0.5, 0.80901700258255, -0.30901700258255005), (-0.5, 0.0, -0.30901700258255005, 0.80901700258255), (0.0, 0.80901700258255, -0.30901700258255005, -0.5), (-0.5, 0.80901700258255, 0.0, -0.30901700258255005), (-0.30901700258255005, 0.0, 0.80901700258255, -0.5), (0.0, -0.30901700258255005, -0.5, 0.80901700258255), (0.80901700258255, -0.5, 0.30901700258255005, 0.0), (0.80901700258255, 0.30901700258255005, 0.0, -0.5), (0.80901700258255, 0.0, -0.5, 0.30901700258255005), (-0.5, 0.30901700258255005, 0.80901700258255, 0.0), 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[427, 437, 439, 440], [441, 442, 443, 440], [435, 444, 439, 445], [201, 446, 436, 447], [327, 448, 449, 450], [333, 447, 450, 451], [254, 446, 444, 452], [249, 448, 453, 452], [326, 454, 455, 456], [197, 457, 458, 454], [222, 457, 459, 460], [174, 461, 462, 463], [354, 464, 465, 466], [243, 461, 467, 464], [184, 468, 469, 470], [369, 471, 472, 473], [259, 468, 474, 471], [219, 475, 476, 477], [459, 476, 478, 479], [334, 480, 481, 482], [340, 477, 482, 483], [294, 475, 484, 485], [297, 480, 486, 485], [469, 487, 488, 489], [316, 490, 491, 492], [187, 493, 487, 490], [284, 493, 494, 495], [234, 496, 497, 498], [467, 497, 499, 500], [341, 501, 502, 503], [347, 504, 503, 505], [238, 501, 506, 498], [224, 496, 507, 504], [462, 508, 509, 510], [499, 509, 511, 512], [513, 514, 515, 512], [507, 516, 511, 517], [177, 518, 508, 519], [307, 519, 520, 521], [232, 518, 516, 522], [458, 523, 524, 525], [478, 524, 526, 527], [528, 529, 530, 527], [484, 531, 526, 532], [194, 533, 523, 534], [412, 535, 536, 537], [300, 533, 531, 535], [494, 538, 539, 540], [488, 541, 539, 542], [543, 544, 545, 542], [269, 546, 547, 548], [474, 547, 541, 549], [398, 550, 551, 552], [397, 553, 552, 554], [286, 546, 538, 553], [266, 550, 555, 548], [418, 556, 557, 558], [441, 559, 560, 561], [428, 557, 562, 561], [434, 563, 564, 562], [372, 565, 566, 567], [383, 568, 556, 567], [335, 563, 569, 568], [453, 570, 571, 572], [443, 573, 574, 575], [445, 576, 572, 575], [401, 577, 578, 579], [433, 580, 576, 581], [357, 582, 580, 579], [342, 570, 583, 582], [399, 584, 585, 586], [442, 587, 588, 589], [438, 590, 591, 589], [451, 592, 591, 593], [423, 584, 594, 590], [393, 595, 596, 597], [388, 592, 586, 597], [529, 598, 599, 600], [525, 601, 602, 600], [319, 603, 604, 605], [456, 604, 601, 606], [506, 607, 608, 609], [513, 610, 611, 612], [500, 613, 609, 612], [392, 614, 615, 616], [466, 617, 613, 618], [350, 619, 617, 616], [328, 607, 620, 619], [555, 621, 622, 623], [544, 624, 625, 626], [549, 627, 623, 626], [473, 628, 627, 629], [380, 621, 630, 631], [373, 632, 633, 634], [378, 628, 631, 634], [528, 635, 636, 637], [479, 638, 639, 637], [483, 640, 639, 641], [371, 642, 643, 644], [366, 640, 645, 644], [322, 646, 647, 648], [492, 646, 649, 650], [543, 651, 652, 653], [489, 654, 649, 653], [505, 655, 656, 657], [515, 658, 659, 660], [517, 656, 661, 660], [402, 662, 663, 664], [410, 655, 665, 664], [514, 666, 667, 668], [510, 669, 670, 668], [521, 671, 670, 672], [312, 671, 673, 674], [530, 675, 676, 677], [532, 678, 679, 677], [537, 680, 679, 681], [486, 682, 683, 678], [403, 684, 685, 686], [408, 687, 680, 686], [359, 682, 688, 687], [545, 689, 690, 691], [540, 692, 693, 691], [554, 694, 693, 695], [394, 696, 697, 698], [391, 699, 694, 698], [614, 700, 701, 702], [620, 703, 704, 702], [595, 700, 705, 706], [588, 707, 708, 709], [593, 710, 706, 709], [449, 703, 711, 710], [571, 711, 712, 713], [574, 707, 714, 713], [633, 715, 716, 717], [630, 718, 719, 717], [594, 720, 721, 722], [587, 723, 724, 722], [566, 715, 725, 726], [559, 723, 727, 728], [558, 729, 726, 728], [415, 718, 720, 729], [684, 730, 731, 732], [688, 733, 734, 732], [578, 730, 735, 736], [573, 737, 738, 739], [581, 740, 736, 739], [430, 733, 741, 740], [564, 741, 742, 743], [560, 737, 744, 743], [565, 745, 746, 747], [569, 748, 749, 747], [742, 749, 750, 751], [734, 752, 750, 753], [683, 754, 752, 755], [675, 756, 757, 755], [642, 745, 758, 759], [636, 756, 760, 761], [641, 762, 759, 761], [481, 748, 754, 762], [672, 763, 764, 765], [667, 766, 767, 765], [659, 766, 768, 769], [689, 770, 771, 772], [652, 770, 773, 774], [650, 775, 776, 774], [685, 777, 778, 779], [676, 780, 781, 782], [681, 783, 779, 782], [599, 780, 784, 785], [663, 777, 786, 787], [721, 788, 789, 790], [719, 791, 789, 792], [697, 793, 794, 795], [690, 796, 797, 798], [695, 799, 795, 798], [585, 800, 788, 801], [622, 802, 791, 803], [551, 800, 802, 799], [625, 796, 804, 803], [596, 793, 805, 801], [666, 806, 807, 808], [696, 809, 810, 811], [615, 809, 812, 813], [610, 806, 814, 815], [618, 816, 813, 815], [712, 817, 818, 819], [704, 820, 818, 821], [662, 822, 823, 824], [658, 825, 826, 827], [657, 828, 824, 827], [583, 829, 817, 830], [608, 831, 820, 832], [502, 829, 831, 828], [611, 825, 833, 832], [577, 822, 834, 830], [635, 835, 836, 837], [598, 835, 838, 839], [606, 840, 841, 839], [643, 842, 843, 844], [651, 845, 846, 847], [632, 842, 848, 849], [624, 845, 850, 851], [629, 852, 849, 851], [738, 853, 854, 855], [819, 856, 857, 858], [714, 853, 859, 856], [834, 860, 861, 857], [735, 860, 862, 855], [859, 863, 864, 865], [708, 866, 863, 867], [790, 868, 869, 870], [724, 866, 871, 868], [805, 872, 873, 869], [705, 872, 874, 867], [854, 875, 876, 877], [878, 879, 880, 881], [864, 876, 882, 881], [871, 883, 882, 884], [725, 885, 886, 887], [746, 885, 888, 889], [751, 890, 889, 891], [744, 892, 875, 890], [727, 892, 883, 887], [731, 893, 894, 895], [891, 896, 897, 898], [879, 899, 900, 901], [877, 902, 897, 901], [753, 895, 903, 896], [862, 894, 904, 902], [778, 893, 905, 906], [757, 907, 908, 903], [781, 907, 909, 906], [861, 910, 911, 912], [904, 911, 913, 914], [899, 915, 916, 914], [905, 917, 913, 918], [823, 919, 910, 920], [768, 921, 922, 923], [826, 921, 924, 920], [925, 923, 926, 927], [786, 919, 917, 926], [794, 928, 929, 930], [873, 929, 931, 932], [797, 933, 934, 930], [935, 936, 937, 938], [810, 928, 939, 937], [771, 933, 940, 936], [909, 941, 942, 943], [916, 944, 945, 946], [918, 943, 947, 946], [927, 948, 949, 947], [838, 950, 951, 952], [953, 954, 955, 948], [784, 950, 941, 955], [934, 956, 957, 958], [959, 960, 961, 962], [932, 963, 958, 962], [716, 964, 965, 966], [886, 965, 967, 968], [880, 960, 969, 970], [884, 971, 968, 970], [792, 966, 972, 973], [870, 973, 971, 963], [804, 974, 956, 972], [848, 964, 975, 976], [850, 974, 977, 976], [922, 978, 979, 980], [945, 981, 982, 983], [949, 980, 984, 983], [807, 985, 986, 987], [988, 989, 987, 990], [938, 990, 991, 992], [767, 985, 978, 993], [924, 994, 995, 996], [997, 998, 999, 1000], [981, 1001, 999, 1002], [979, 995, 1003, 1002], [986, 1004, 1003, 1005], [992, 1006, 1005, 1000], [874, 1007, 1008, 1009], [931, 1008, 1010, 1011], [959, 1012, 998, 1011], [939, 1013, 1010, 1006], [833, 1014, 994, 1015], [915, 1016, 1001, 1017], [912, 1018, 996, 1017], [814, 1014, 1004, 1019], [878, 1016, 1012, 1020], [865, 1021, 1009, 1020], [821, 1022, 1015, 1023], [858, 1023, 1021, 1018], [701, 1024, 1007, 1022], [812, 1024, 1013, 1019], [843, 1025, 1026, 1027], [975, 1026, 1028, 1029], [967, 1030, 1028, 1031], [969, 1032, 1033, 1031], [908, 1034, 1035, 1036], [944, 1037, 1038, 1039], [942, 1035, 1040, 1039], [951, 1041, 1040, 1042], [900, 1032, 1037, 1043], [898, 1044, 1036, 1043], [836, 1045, 1041, 1046], [888, 1047, 1030, 1044], [1048, 1046, 1027, 1049], [758, 1025, 1047, 1050], [760, 1045, 1034, 1050], [977, 1051, 1052, 1053], [1033, 1054, 1055, 1056], [1029, 1053, 1057, 1056], [1049, 1058, 1059, 1057], [1038, 1060, 1055, 1061], [1042, 1062, 1059, 1061], [773, 1063, 1064, 1065], [982, 1060, 1066, 1067], [997, 1068, 1066, 1069], [991, 1070, 1071, 1069], [940, 1064, 1072, 1070], [961, 1068, 1054, 1073], [957, 1072, 1052, 1073], [846, 1063, 1051, 1074], [1075, 1076, 1074, 1058], [840, 1077, 1078, 1079], [1048, 1080, 1081, 1082], [1075, 1083, 1084, 1082], [852, 1085, 1086, 1087], [844, 1088, 1086, 1081], [847, 1089, 1087, 1084], [460, 1090, 1091, 1092], [1093, 1094, 1078, 1083], [837, 1095, 1079, 1080], [217, 1096, 1090, 1097], [370, 1097, 1098, 1099], [647, 1100, 1101, 1094], [654, 1102, 1101, 1089], [645, 1099, 1103, 1088], [638, 1092, 1103, 1095], [186, 1096, 1104, 1105], [470, 1105, 1106, 1102], [472, 1098, 1106, 1085], [455, 1107, 1091, 1077], [325, 1104, 1107, 1100], [292, 1108, 1109, 1110], [988, 1111, 1112, 1113], [935, 1114, 1115, 1113], [816, 1116, 1117, 1118], [808, 1119, 1118, 1112], [811, 1120, 1117, 1115], [495, 1109, 1121, 1122], [775, 1123, 1124, 1125], [1126, 1127, 1124, 1111], [772, 1128, 1125, 1114], [463, 1129, 1130, 1131], [465, 1132, 1130, 1116], [699, 1133, 1134, 1120], [692, 1122, 1134, 1128], [673, 1135, 1136, 1127], [669, 1131, 1136, 1119], [353, 1110, 1132, 1133], [491, 1137, 1121, 1123], [176, 1108, 1138, 1129], [314, 1138, 1137, 1135], [536, 1139, 1140, 1141], [953, 1142, 1143, 1144], [925, 1145, 1146, 1144], [783, 1141, 1147, 1148], [785, 1149, 1148, 1143], [787, 1150, 1147, 1146], [231, 1151, 1152, 1153], [763, 1154, 1155, 1156], [1157, 1158, 1155, 1142], [769, 1159, 1156, 1145], [522, 1152, 1160, 1161], [196, 1151, 1162, 1163], [665, 1164, 1165, 1150], [661, 1161, 1165, 1159], [603, 1166, 1167, 1158], [602, 1168, 1167, 1149], [534, 1163, 1140, 1168], [413, 1153, 1139, 1164], [520, 1169, 1160, 1154], [309, 1162, 1169, 1166], [954, 1170, 1171, 1172], [1065, 1173, 1174, 1175], [1076, 1176, 1174, 1177], [1071, 1178, 1175, 1179], [1062, 1180, 1177, 1181], [1067, 1182, 1181, 1179], [1157, 1183, 1184, 1170], [993, 1185, 1186, 1187], [989, 1188, 1186, 1178], [984, 1172, 1187, 1182], [952, 1189, 1171, 1180], [605, 1190, 1183, 1191], [323, 1192, 1190, 1193], [648, 1193, 1194, 1195], [841, 1191, 1196, 1189], [1093, 1195, 1196, 1176], [764, 1197, 1184, 1185], [776, 1194, 1198, 1173], [1126, 1199, 1198, 1188], [674, 1192, 1197, 1199]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Hexacosichoron', 'One of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are tetrahedral.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-0.5, -0.5, -0.5, -0.5), (-0.5, -0.5, -0.5, 0.5), (-0.5, -0.5, 0.5, -0.5), (-0.5, -0.5, 0.5, 0.5), (-0.5, 0.5, -0.5, -0.5), (-0.5, 0.5, -0.5, 0.5), (-0.5, 0.5, 0.5, -0.5), (-0.5, 0.5, 0.5, 0.5), (0.5, -0.5, -0.5, -0.5), (0.5, -0.5, -0.5, 0.5), (0.5, -0.5, 0.5, -0.5), (0.5, -0.5, 0.5, 0.5), (0.5, 0.5, -0.5, -0.5), (0.5, 0.5, -0.5, 0.5), (0.5, 0.5, 0.5, -0.5), (0.5, 0.5, 0.5, 0.5)], [[12, 13], [12, 14], [13, 15], [14, 15], [9, 11], [9, 13], [11, 15], [10, 11], [10, 14], [8, 10], [8, 12], [8, 9], [1, 9], [1, 3], [11, 3], [0, 1], [0, 8], [2, 10], [2, 3], [0, 2], [1, 5], [13, 5], [4, 5], [4, 12], [0, 4], [2, 6], [14, 6], [4, 6], [15, 7], [3, 7], [5, 7], [6, 7]], [[0, 2, 3, 1], [4, 6, 2, 5], [7, 6, 3, 8], [8, 9, 10, 1], [5, 11, 10, 0], [4, 11, 9, 7], [12, 13, 14, 4], [15, 12, 11, 16], [17, 18, 14, 7], [15, 13, 18, 19], [19, 17, 9, 16], [12, 20, 21, 5], [22, 23, 0, 21], [15, 20, 22, 24], [24, 23, 10, 16], [17, 25, 26, 8], [23, 27, 26, 1], [19, 25, 27, 24], [28, 6, 14, 29], [2, 28, 30, 21], [13, 29, 30, 20], [3, 28, 31, 26], [18, 29, 31, 25], [22, 30, 31, 27]], [[0, 1, 2, 3, 4, 5], [6, 7, 8, 5, 9, 10], [11, 12, 7, 4, 13, 14], [15, 10, 16, 3, 17, 14], [1, 18, 19, 20, 6, 11], [2, 18, 21, 22, 8, 15], [21, 19, 23, 12, 0, 16], [9, 20, 22, 23, 13, 17]], [[0, 1, 2, 3, 4, 5, 6, 7]]])
try:
import figureInfo
figureInfo.setNameDescPath('Tesseract', '4-dimensional cube (4-cube).\nOne of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are cubical.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-1.0, 0.0, 0.0, 0.0, 0.0), (0.0, -1.0, 0.0, 0.0, 0.0), (0.0, 0.0, -1.0, 0.0, 0.0), (0.0, 0.0, 0.0, -1.0, 0.0), (0.0, 0.0, 0.0, 0.0, -1.0), (1.0, 0.0, 0.0, 0.0, 0.0), (0.0, 1.0, 0.0, 0.0, 0.0), (0.0, 0.0, 1.0, 0.0, 0.0), (0.0, 0.0, 0.0, 1.0, 0.0), (0.0, 0.0, 0.0, 0.0, 1.0)], [[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3], [0, 4], [1, 4], [2, 4], [3, 4], [1, 5], [2, 5], [3, 5], [4, 5], [0, 6], [2, 6], [3, 6], [4, 6], [5, 6], [0, 7], [1, 7], [3, 7], [4, 7], [5, 7], [6, 7], [0, 8], [1, 8], [2, 8], [4, 8], [5, 8], [6, 8], [7, 8], [0, 9], [1, 9], [2, 9], [3, 9], [5, 9], [6, 9], [7, 9], [8, 9]], [[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4], [0, 7, 6], [1, 8, 6], [2, 8, 7], [3, 9, 6], [4, 9, 7], [5, 9, 8], [2, 11, 10], [4, 12, 10], [5, 12, 11], [7, 13, 10], [8, 13, 11], [9, 13, 12], [1, 15, 14], [3, 16, 14], [5, 16, 15], [6, 17, 14], [8, 17, 15], [9, 17, 16], [11, 18, 15], [12, 18, 16], [13, 18, 17], [0, 20, 19], [3, 21, 19], [4, 21, 20], [6, 22, 19], [7, 22, 20], [9, 22, 21], [10, 23, 20], [12, 23, 21], [13, 23, 22], [14, 24, 19], [16, 24, 21], [17, 24, 22], [18, 24, 23], [0, 26, 25], [1, 27, 25], [2, 27, 26], [6, 28, 25], [7, 28, 26], [8, 28, 27], [10, 29, 26], [11, 29, 27], [13, 29, 28], [14, 30, 25], [15, 30, 27], [17, 30, 28], [18, 30, 29], [19, 31, 25], [20, 31, 26], [22, 31, 28], [23, 31, 29], [24, 31, 30], [0, 33, 32], [1, 34, 32], [2, 34, 33], [3, 35, 32], [4, 35, 33], [5, 35, 34], [10, 36, 33], [11, 36, 34], [12, 36, 35], [14, 37, 32], [15, 37, 34], [16, 37, 35], [18, 37, 36], [19, 38, 32], [20, 38, 33], [21, 38, 35], [23, 38, 36], [24, 38, 37], [25, 39, 32], [26, 39, 33], [27, 39, 34], [29, 39, 36], [30, 39, 37], [31, 39, 38]], [[0, 1, 2, 3], [0, 4, 5, 6], [1, 4, 7, 8], [2, 5, 7, 9], [3, 6, 8, 9], [3, 10, 11, 12], [6, 10, 13, 14], [8, 11, 13, 15], [9, 12, 14, 15], [2, 16, 17, 18], [5, 16, 19, 20], [7, 17, 19, 21], [9, 18, 20, 21], [12, 18, 22, 23], [14, 20, 22, 24], [15, 21, 23, 24], [1, 25, 26, 27], [4, 25, 28, 29], [7, 26, 28, 30], [8, 27, 29, 30], [11, 27, 31, 32], [13, 29, 31, 33], [15, 30, 32, 33], [17, 26, 34, 35], [19, 28, 34, 36], [21, 30, 35, 36], [23, 32, 35, 37], [24, 33, 36, 37], [0, 38, 39, 40], [4, 38, 41, 42], [5, 39, 41, 43], [6, 40, 42, 43], [10, 40, 44, 45], [13, 42, 44, 46], [14, 43, 45, 46], [16, 39, 47, 48], [19, 41, 47, 49], [20, 43, 48, 49], [22, 45, 48, 50], [24, 46, 49, 50], [25, 38, 51, 52], [28, 41, 51, 53], [29, 42, 52, 53], [31, 44, 52, 54], [33, 46, 53, 54], [34, 47, 51, 55], [36, 49, 53, 55], [37, 50, 54, 55], [0, 56, 57, 58], [1, 56, 59, 60], [2, 57, 59, 61], [3, 58, 60, 61], [10, 58, 62, 63], [11, 60, 62, 64], [12, 61, 63, 64], [16, 57, 65, 66], [17, 59, 65, 67], [18, 61, 66, 67], [22, 63, 66, 68], [23, 64, 67, 68], [25, 56, 69, 70], [26, 59, 69, 71], [27, 60, 70, 71], [31, 62, 70, 72], [32, 64, 71, 72], [34, 65, 69, 73], [35, 67, 71, 73], [37, 68, 72, 73], [38, 56, 74, 75], [39, 57, 74, 76], [40, 58, 75, 76], [44, 62, 75, 77], [45, 63, 76, 77], [47, 65, 74, 78], [48, 66, 76, 78], [50, 68, 77, 78], [51, 69, 74, 79], [52, 70, 75, 79], [54, 72, 77, 79], [55, 73, 78, 79]], [[0, 1, 2, 3, 4], [4, 5, 6, 7, 8], [3, 9, 10, 11, 12], [8, 12, 13, 14, 15], [2, 16, 17, 18, 19], [7, 19, 20, 21, 22], [11, 18, 23, 24, 25], [15, 22, 25, 26, 27], [1, 28, 29, 30, 31], [6, 31, 32, 33, 34], [10, 30, 35, 36, 37], [14, 34, 37, 38, 39], [17, 29, 40, 41, 42], [21, 33, 42, 43, 44], [24, 36, 41, 45, 46], [27, 39, 44, 46, 47], [0, 48, 49, 50, 51], [5, 51, 52, 53, 54], [9, 50, 55, 56, 57], [13, 54, 57, 58, 59], [16, 49, 60, 61, 62], [20, 53, 62, 63, 64], [23, 56, 61, 65, 66], [26, 59, 64, 66, 67], [28, 48, 68, 69, 70], [32, 52, 70, 71, 72], [35, 55, 69, 73, 74], [38, 58, 72, 74, 75], [40, 60, 68, 76, 77], [43, 63, 71, 77, 78], [45, 65, 73, 76, 79], [47, 67, 75, 78, 79]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31]]])
try:
import figureInfo
figureInfo.setNameDescPath('Triacontaditeron', '5-dimensional octahedron (5-orthoplex).\nOne of the three regular 5-polytopes (5-dimensional analogy of Platonic solids).\nIts facets are pentachoral.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-1.0, ), (1.0, )], [[0, 1]]])
try:
import figureInfo
figureInfo.setNameDescPath('Abscissa', '1-simplex.\n1-cube.\n1-orthoplex.',
__file__)
except ImportError:
pass
import gf
gf.figureOpen([[(0.0, 0.525731086730957, 0.8506507873535156), (0.525731086730957, 0.8506507873535156, 0.0), (0.8506507873535156, 0.0, 0.525731086730957), (0.0, 0.525731086730957, -0.8506507873535156), (0.525731086730957, -0.8506507873535156, 0.0), (-0.8506507873535156, 0.0, 0.525731086730957), (0.0, -0.525731086730957, 0.8506507873535156), (-0.525731086730957, 0.8506507873535156, 0.0), (0.8506507873535156, 0.0, -0.525731086730957), (0.0, -0.525731086730957, -0.8506507873535156), (-0.525731086730957, -0.8506507873535156, 0.0), (-0.8506507873535156, 0.0, -0.525731086730957)], [[0, 1], [0, 2], [1, 2], [2, 4], [2, 6], [4, 6], [0, 5], [0, 6], [5, 6], [1, 3], [1, 7], [3, 7], [0, 7], [5, 7], [2, 8], [4, 8], [1, 8], [3, 8], [3, 9], [8, 9], [4, 9], [4, 10], [6, 10], [9, 10], [5, 10], [5, 11], [7, 11], [10, 11], [9, 11], [3, 11]], [[0, 2, 1], [3, 5, 4], [6, 8, 7], [1, 4, 7], [9, 11, 10], [6, 13, 12], [0, 10, 12], [3, 15, 14], [2, 14, 16], [9, 17, 16], [17, 19, 18], [15, 19, 20], [5, 22, 21], [20, 23, 21], [8, 22, 24], [13, 26, 25], [24, 27, 25], [23, 27, 28], [11, 26, 29], [18, 28, 29]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Icosahedron', 'One of the five Platonic Solids (regular polyhedra).\nIts faces are triangular.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(-0.5, -0.5, -0.5, -0.5), (-0.5, -0.5, -0.5, 0.5), (-0.5, -0.5, 0.5, -0.5), (-0.5, -0.5, 0.5, 0.5), (-0.5, 0.5, -0.5, -0.5), (-0.5, 0.5, -0.5, 0.5), (-0.5, 0.5, 0.5, -0.5), (-0.5, 0.5, 0.5, 0.5), (0.5, -0.5, -0.5, -0.5), (0.5, -0.5, -0.5, 0.5), (0.5, -0.5, 0.5, -0.5), (0.5, -0.5, 0.5, 0.5), (0.5, 0.5, -0.5, -0.5), (0.5, 0.5, -0.5, 0.5), (0.5, 0.5, 0.5, -0.5), (0.5, 0.5, 0.5, 0.5), (-1.0, 0.0, 0.0, 0.0), (0.0, -1.0, 0.0, 0.0), (0.0, 0.0, -1.0, 0.0), (0.0, 0.0, 0.0, -1.0), (1.0, 0.0, 0.0, 0.0), (0.0, 1.0, 0.0, 0.0), (0.0, 0.0, 1.0, 0.0), (0.0, 0.0, 0.0, 1.0)], [[0, 1], [0, 17], [1, 17], [0, 18], [1, 18], [0, 8], [8, 18], [1, 9], [9, 18], [8, 9], [8, 17], [9, 17], [0, 2], [2, 17], [0, 19], [2, 19], [8, 19], [2, 10], [10, 19], [8, 10], [10, 17], [0, 4], [4, 18], [4, 19], [4, 12], [12, 19], [8, 12], [12, 18], [10, 14], [14, 19], [10, 20], [14, 20], [12, 14], [12, 20], [8, 20], [9, 13], [13, 18], [9, 20], [13, 20], [12, 13], [9, 11], [11, 17], [11, 20], [10, 11], [12, 21], [13, 21], [14, 21], [13, 15], [15, 21], [14, 15], [15, 20], [10, 22], [11, 22], [14, 22], [11, 15], [15, 22], [9, 23], [11, 23], [13, 23], [15, 23], [1, 23], [1, 3], [23, 3], [11, 3], [17, 3], [2, 22], [2, 3], [22, 3], [0, 16], [2, 16], [1, 16], [16, 3], [1, 5], [23, 5], [13, 5], [18, 5], [4, 21], [4, 5], [21, 5], [4, 16], [16, 5], [2, 6], [22, 6], [14, 6], [19, 6], [4, 6], [21, 6], [16, 6], [15, 7], [21, 7], [23, 7], [5, 7], [16, 7], [6, 7], [22, 7], [3, 7]], [[0, 2, 1], [0, 4, 3], [5, 6, 3], [7, 8, 4], [9, 8, 6], [5, 10, 1], [7, 11, 2], [9, 11, 10], [12, 13, 1], [12, 15, 14], [5, 16, 14], [17, 18, 15], [19, 18, 16], [17, 20, 13], [19, 20, 10], [21, 22, 3], [21, 23, 14], [24, 25, 23], [26, 25, 16], [24, 27, 22], [26, 27, 6], [28, 29, 18], [28, 31, 30], [32, 31, 33], [19, 30, 34], [26, 33, 34], [32, 29, 25], [35, 36, 8], [35, 38, 37], [39, 38, 33], [9, 37, 34], [39, 36, 27], [40, 41, 11], [40, 42, 37], [43, 42, 30], [43, 41, 20], [39, 45, 44], [32, 46, 44], [47, 48, 45], [49, 48, 46], [47, 50, 38], [49, 50, 31], [43, 52, 51], [28, 53, 51], [54, 55, 52], [49, 55, 53], [54, 50, 42], [40, 57, 56], [35, 58, 56], [54, 59, 57], [47, 59, 58], [60, 62, 61], [57, 62, 63], [2, 64, 61], [41, 64, 63], [7, 56, 60], [65, 67, 66], [52, 67, 63], [13, 64, 66], [17, 51, 65], [12, 69, 68], [70, 71, 61], [69, 71, 66], [0, 70, 68], [60, 73, 72], [58, 73, 74], [4, 75, 72], [36, 75, 74], [76, 78, 77], [45, 78, 74], [22, 75, 77], [24, 44, 76], [21, 79, 68], [70, 80, 72], [79, 80, 77], [65, 82, 81], [53, 82, 83], [15, 84, 81], [29, 84, 83], [76, 86, 85], [46, 86, 83], [23, 84, 85], [69, 87, 81], [79, 87, 85], [48, 89, 88], [59, 90, 88], [78, 91, 89], [73, 91, 90], [80, 91, 92], [87, 93, 92], [86, 93, 89], [55, 94, 88], [82, 93, 94], [71, 95, 92], [67, 95, 94], [62, 95, 90]], [[0, 1, 2, 3, 4, 5, 6, 7], [8, 9, 10, 11, 12, 5, 13, 14], [15, 16, 10, 17, 18, 2, 19, 20], [21, 22, 23, 24, 25, 26, 12, 18], [27, 28, 29, 30, 25, 31, 4, 20], [32, 33, 34, 30, 24, 35, 7, 14], [29, 36, 37, 38, 39, 23, 40, 41], [34, 42, 43, 44, 45, 22, 46, 41], [33, 47, 48, 49, 50, 28, 46, 40], [47, 51, 52, 53, 54, 6, 55, 32], [42, 56, 57, 58, 54, 13, 59, 35], [60, 53, 58, 61, 62, 63, 0, 8], [48, 64, 65, 66, 67, 3, 55, 27], [36, 68, 69, 70, 67, 19, 71, 31], [72, 66, 70, 73, 74, 63, 1, 15], [43, 75, 76, 77, 78, 11, 59, 21], [37, 79, 80, 81, 78, 17, 71, 26], [72, 77, 81, 82, 83, 60, 9, 16], [69, 84, 85, 86, 87, 65, 38, 50], [88, 86, 89, 90, 74, 83, 79, 68], [80, 84, 91, 90, 92, 76, 39, 45], [93, 94, 89, 92, 62, 82, 75, 56], [93, 95, 88, 87, 61, 73, 64, 51], [57, 91, 85, 94, 95, 52, 44, 49]], [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Icositetrachoron', 'Convex hull of the tesseract and regular hexadecachoron\nsharing their circumscribed spheres (and rotated appropriately).\nOne of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are octahedral.', __file__)
except ImportError: pass
import gf
import math
gf.figureOpen([
[
(math.sqrt(3)/2, -0.5),
(0, 1.0),
(-math.sqrt(3)/2, -0.5)
], [[2, 0], [0, 1], [1, 2]], [[0, 1, 2]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Triangle', '2-simplex.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(0.5, -0.8660253882408142), (1.0, 0),
(0.5, 0.8660253882408142), (-0.5, 0.8660253882408142),
(-1.0, 0), (-0.5, -0.8660253882408142)],
[[4, 5], [5, 0], [0, 1], [1, 2], [2, 3], [3, 4]],
[[0, 1, 2, 3, 4, 5]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Hexagon', None, __file__)
except ImportError:
pass
import gf
gf.figureOpen([[
(0.25, 0.322748601436615, 0.4564354717731476, -0.7905694246292114),
(0.25, 0.322748601436615, 0.4564354717731476, 0.7905694246292114),
(0.25, 0.322748601436615, -0.9128709435462952, 0.0),
(0.25, -0.9682458639144897, 0.0, 0.0), (-1.0, 0.0, 0.0, 0.0)
],
[[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3], [0, 4], [1, 4],
[2, 4], [3, 4]],
[[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4], [0, 7, 6],
[1, 8, 6], [2, 8, 7], [3, 9, 6], [4, 9, 7], [5, 9, 8]],
[[0, 1, 2, 3], [0, 4, 5, 6], [1, 4, 7, 8], [2, 5, 7, 9],
[3, 6, 8, 9]], [[0, 1, 2, 3, 4]]])
try:
import figureInfo
figureInfo.setNameDescPath(
'Regular Pentachoron',
'4-dimensional tetrahedron (4-simplex).\nOne of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are tetrahedral.',
__file__)
except ImportError:
pass
import gf
import math
gf.figureOpen(
[
[
(math.sqrt(2) / 2, -math.sqrt(2) / 2),
(math.sqrt(2) / 2, math.sqrt(2) / 2),
(-math.sqrt(2) / 2, math.sqrt(2) / 2),
(-math.sqrt(2) / 2, -math.sqrt(2) / 2),
],
[[3, 0], [0, 1], [1, 2], [2, 3]],
[[0, 1, 2, 3]],
]
)
try:
import figureInfo
figureInfo.setNameDescPath("Square", "2-cube.\n2-orthoplex.", __file__)
except ImportError:
pass
import gf
import math
gf.figureOpen([[(math.sqrt(3) / 2, -0.5), (0, 1.0), (-math.sqrt(3) / 2, -0.5)],
[[2, 0], [0, 1], [1, 2]], [[0, 1, 2]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Triangle', '2-simplex.', __file__)
except ImportError:
pass
gf.figureOpen([[(-0.5773502588272095, -0.5773502588272095,
-0.5773502588272095),
(-0.5773502588272095, -0.5773502588272095, 0.5773502588272095),
(-0.5773502588272095, 0.5773502588272095, -0.5773502588272095),
(-0.5773502588272095, 0.5773502588272095, 0.5773502588272095),
(0.5773502588272095, -0.5773502588272095, -0.5773502588272095),
(0.5773502588272095, -0.5773502588272095, 0.5773502588272095),
(0.5773502588272095, 0.5773502588272095, -0.5773502588272095),
(0.5773502588272095, 0.5773502588272095, 0.5773502588272095),
(0.0, 0.35682210326194763, 0.9341723322868347),
(0.35682210326194763, 0.9341723322868347, 0.0),
(0.9341723322868347, 0.0, 0.35682210326194763),
(0.0, 0.35682210326194763, -0.9341723322868347),
(0.35682210326194763, -0.9341723322868347, 0.0),
(-0.9341723322868347, 0.0, 0.35682210326194763),
(0.0, -0.35682210326194763, 0.9341723322868347),
(-0.35682210326194763, 0.9341723322868347, 0.0),
(0.9341723322868347, 0.0, -0.35682210326194763),
(0.0, -0.35682210326194763, -0.9341723322868347),
(-0.35682210326194763, -0.9341723322868347, 0.0),
(-0.9341723322868347, 0.0, -0.35682210326194763)],
[[5, 10], [5, 14], [8, 14], [7, 10], [7, 8], [2, 11], [2, 15],
[9, 15], [6, 11], [6, 9], [4, 12], [4, 16], [10, 16], [5, 12],
[6, 16], [7, 9], [4, 17], [11, 17], [0, 17], [0, 18], [12, 18],
[1, 14], [1, 18], [0, 19], [2, 19], [13, 19], [1, 13], [8, 3],
[13, 3], [15, 3]],
[[0, 3, 4, 2, 1], [5, 8, 9, 7, 6], [10, 13, 0, 12, 11],
[3, 15, 9, 14, 12], [11, 14, 8, 17, 16], [18, 16, 10, 20, 19],
[21, 1, 13, 20, 22], [23, 18, 17, 5, 24], [19, 22, 26, 25, 23],
[27, 2, 21, 26, 28], [7, 15, 4, 27, 29], [28, 25, 24, 6, 29]],
[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]]])
import gf
gf.figureOpen([
[
(0.5877852439880371, -0.80901700258255),
(0.9510565400123596, 0.30901700258255005),
(0, 1.0),
(-0.9510565400123596, 0.30901700258255005),
(-0.5877852439880371, -0.80901700258255)
], [[3, 4], [4, 0], [0, 1], [1, 2], [2, 3]], [[0, 1, 2, 3, 4]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Pentagon', None, __file__)
except ImportError: pass
import gf
gf.figureOpen([[(0.8164966106414795, 0.0, -0.5773502588272095),
(-0.8164966106414795, 0.0, -0.5773502588272095),
(0.0, 0.8164966106414795, 0.5773502588272095),
(0.0, -0.8164966106414795, 0.5773502588272095)],
[[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3]],
[[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4]], [[0, 1, 2, 3]]])
try:
import figureInfo
figureInfo.setNameDescPath(
'Regular Tetrahedron',
'3-simplex.\nOne of the five Platonic Solids (regular polyhedra).\nIts faces are triangular.',
__file__)
except ImportError:
pass
gf.figureOpen([[(-0.5, -0.5, -0.5, -0.5), (-0.5, -0.5, -0.5, 0.5),
(-0.5, -0.5, 0.5, -0.5), (-0.5, -0.5, 0.5, 0.5),
(-0.5, 0.5, -0.5, -0.5), (-0.5, 0.5, -0.5, 0.5),
(-0.5, 0.5, 0.5, -0.5), (-0.5, 0.5, 0.5, 0.5),
(0.5, -0.5, -0.5, -0.5), (0.5, -0.5, -0.5, 0.5),
(0.5, -0.5, 0.5, -0.5), (0.5, -0.5, 0.5, 0.5),
(0.5, 0.5, -0.5, -0.5), (0.5, 0.5, -0.5, 0.5),
(0.5, 0.5, 0.5, -0.5), (0.5, 0.5, 0.5, 0.5),
(-1.0, 0.0, 0.0, 0.0), (0.0, -1.0, 0.0, 0.0),
(0.0, 0.0, -1.0, 0.0), (0.0, 0.0, 0.0, -1.0),
(1.0, 0.0, 0.0, 0.0), (0.0, 1.0, 0.0, 0.0),
(0.0, 0.0, 1.0, 0.0), (0.0, 0.0, 0.0, 1.0)],
[[0, 1], [0, 17], [1, 17], [0, 18], [1, 18], [0, 8], [8, 18],
[1, 9], [9, 18], [8, 9], [8, 17], [9, 17], [0, 2], [2, 17],
[0, 19], [2, 19], [8, 19],
[2, 10], [10, 19], [8, 10], [10, 17], [0, 4], [4, 18], [4, 19],
[4, 12], [12, 19], [8, 12], [12, 18], [10, 14], [14, 19],
[10, 20], [14, 20], [12, 14], [12, 20], [8, 20], [9, 13],
[13, 18], [9, 20], [13, 20], [12, 13], [9, 11], [11, 17],
[11, 20], [10, 11], [12, 21], [13, 21], [14, 21], [13, 15],
[15, 21], [14, 15], [15, 20], [10, 22], [11, 22], [14, 22],
[11, 15], [15, 22], [9, 23], [11, 23], [13, 23], [15, 23],
[1, 23], [1, 3], [23, 3], [11, 3], [17, 3], [2, 22], [2, 3],
[22, 3], [0, 16], [2, 16], [1, 16], [16, 3], [1, 5], [23, 5],
[13, 5], [18, 5], [4, 21], [4, 5], [21, 5], [4, 16], [16, 5],
[2, 6], [22, 6], [14, 6], [19, 6], [4, 6], [21, 6], [16, 6],
[15, 7], [21, 7], [23, 7], [5, 7], [16, 7], [6, 7], [22, 7],
[3, 7]],
[[0, 2, 1], [0, 4, 3], [5, 6, 3], [7, 8, 4], [9, 8, 6],
[5, 10, 1], [7, 11, 2], [9, 11, 10], [12, 13, 1], [12, 15, 14],
[5, 16, 14], [17, 18, 15], [19, 18, 16], [17, 20, 13],
[19, 20, 10], [21, 22, 3], [21, 23, 14], [24, 25, 23],
[26, 25, 16], [24, 27, 22], [26, 27, 6], [28, 29, 18],
[28, 31, 30], [32, 31, 33], [19, 30, 34], [26, 33, 34],
[32, 29, 25], [35, 36, 8], [35, 38, 37], [39, 38, 33],
[9, 37, 34], [39, 36, 27], [40, 41, 11], [40, 42, 37],
[43, 42, 30], [43, 41, 20], [39, 45, 44], [32, 46, 44],
[47, 48, 45], [49, 48, 46], [47, 50, 38], [49, 50, 31],
[43, 52, 51], [28, 53, 51], [54, 55, 52], [49, 55, 53],
[54, 50, 42], [40, 57, 56], [35, 58, 56], [54, 59, 57],
[47, 59, 58], [60, 62, 61], [57, 62, 63], [2, 64, 61],
[41, 64, 63], [7, 56, 60], [65, 67, 66], [52, 67, 63],
[13, 64, 66], [17, 51, 65], [12, 69, 68], [70, 71, 61],
[69, 71, 66], [0, 70, 68], [60, 73, 72], [58, 73, 74],
[4, 75, 72], [36, 75, 74], [76, 78, 77], [45, 78, 74],
[22, 75, 77], [24, 44, 76], [21, 79, 68], [70, 80, 72],
[79, 80, 77], [65, 82, 81], [53, 82, 83], [15, 84, 81],
[29, 84, 83], [76, 86, 85], [46, 86, 83], [23, 84, 85],
[69, 87, 81], [79, 87, 85], [48, 89, 88], [59, 90, 88],
[78, 91, 89], [73, 91, 90], [80, 91, 92], [87, 93, 92],
[86, 93, 89], [55, 94, 88], [82, 93, 94], [71, 95, 92],
[67, 95, 94], [62, 95, 90]],
[[0, 1, 2, 3, 4, 5, 6, 7], [8, 9, 10, 11, 12, 5, 13, 14],
[15, 16, 10, 17, 18, 2, 19, 20],
[21, 22, 23, 24, 25, 26, 12, 18],
[27, 28, 29, 30, 25, 31, 4, 20],
[32, 33, 34, 30, 24, 35, 7, 14],
[29, 36, 37, 38, 39, 23, 40, 41],
[34, 42, 43, 44, 45, 22, 46, 41],
[33, 47, 48, 49, 50, 28, 46, 40],
[47, 51, 52, 53, 54, 6, 55, 32],
[42, 56, 57, 58, 54, 13, 59,
35], [60, 53, 58, 61, 62, 63, 0, 8],
[48, 64, 65, 66, 67, 3, 55, 27],
[36, 68, 69, 70, 67, 19, 71, 31],
[72, 66, 70, 73, 74, 63, 1, 15],
[43, 75, 76, 77, 78, 11, 59, 21],
[37, 79, 80, 81, 78, 17, 71, 26],
[72, 77, 81, 82, 83, 60, 9, 16],
[69, 84, 85, 86, 87, 65, 38, 50],
[88, 86, 89, 90, 74, 83, 79, 68],
[80, 84, 91, 90, 92, 76, 39, 45],
[93, 94, 89, 92, 62, 82, 75, 56],
[93, 95, 88, 87, 61, 73, 64, 51],
[57, 91, 85, 94, 95, 52, 44, 49]],
[[
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
17, 18, 19, 20, 21, 22, 23
]]])
import gf
gf.figureOpen([[(0.8164966106414795, 0.0, -0.5773502588272095), (-0.8164966106414795, 0.0, -0.5773502588272095), (0.0, 0.8164966106414795, 0.5773502588272095), (0.0, -0.8164966106414795, 0.5773502588272095)], [[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3]], [[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4]], [[0, 1, 2, 3]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Tetrahedron', '3-simplex.\nOne of the five Platonic Solids (regular polyhedra).\nIts faces are triangular.', __file__)
except ImportError: pass
import gf
gf.figureOpen([[(0.5877852439880371, -0.80901700258255),
(0.9510565400123596, 0.30901700258255005), (0, 1.0),
(-0.9510565400123596, 0.30901700258255005),
(-0.5877852439880371, -0.80901700258255)],
[[3, 4], [4, 0], [0, 1], [1, 2], [2, 3]], [[0, 1, 2, 3, 4]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Pentagon', None, __file__)
except ImportError:
pass
import gf
gf.figureOpen([[(-0.5, -0.5, -0.5, -0.5), (-0.5, -0.5, -0.5, 0.5),
(-0.5, -0.5, 0.5, -0.5), (-0.5, -0.5, 0.5, 0.5),
(-0.5, 0.5, -0.5, -0.5), (-0.5, 0.5, -0.5, 0.5),
(-0.5, 0.5, 0.5, -0.5), (-0.5, 0.5, 0.5, 0.5),
(0.5, -0.5, -0.5, -0.5), (0.5, -0.5, -0.5, 0.5),
(0.5, -0.5, 0.5, -0.5), (0.5, -0.5, 0.5, 0.5),
(0.5, 0.5, -0.5, -0.5), (0.5, 0.5, -0.5, 0.5),
(0.5, 0.5, 0.5, -0.5), (0.5, 0.5, 0.5, 0.5)],
[[12, 13], [12, 14], [13, 15], [14, 15], [9, 11], [9, 13],
[11, 15], [10, 11], [10, 14], [8, 10], [8, 12], [8, 9], [1, 9],
[1, 3], [11, 3], [0, 1], [0, 8], [2, 10], [2, 3], [0, 2],
[1, 5], [13, 5], [4, 5], [4, 12], [0, 4], [2, 6], [14, 6],
[4, 6], [15, 7], [3, 7], [5, 7], [6, 7]],
[[0, 2, 3, 1], [4, 6, 2, 5], [7, 6, 3, 8], [8, 9, 10, 1],
[5, 11, 10, 0], [4, 11, 9, 7], [12, 13, 14, 4],
[15, 12, 11, 16], [17, 18, 14, 7], [15, 13, 18, 19],
[19, 17, 9, 16], [12, 20, 21, 5], [22, 23, 0, 21],
[15, 20, 22, 24], [24, 23, 10, 16], [17, 25, 26, 8],
[23, 27, 26, 1], [19, 25, 27, 24], [28, 6, 14, 29],
[2, 28, 30, 21], [13, 29, 30, 20], [3, 28, 31, 26],
[18, 29, 31, 25], [22, 30, 31, 27]],
[[0, 1, 2, 3, 4, 5], [6, 7, 8, 5, 9, 10],
[11, 12, 7, 4, 13, 14], [15, 10, 16, 3, 17, 14],
[1, 18, 19, 20, 6, 11], [2, 18, 21, 22, 8, 15],
[21, 19, 23, 12, 0, 16], [9, 20, 22, 23, 13, 17]],
[[0, 1, 2, 3, 4, 5, 6, 7]]])
try:
import figureInfo
figureInfo.setNameDescPath(
import gf
gf.figureOpen([[(0.25, 0.322748601436615, 0.4564354717731476, -0.7905694246292114), (0.25, 0.322748601436615, 0.4564354717731476, 0.7905694246292114), (0.25, 0.322748601436615, -0.9128709435462952, 0.0), (0.25, -0.9682458639144897, 0.0, 0.0), (-1.0, 0.0, 0.0, 0.0)], [[0, 1], [0, 2], [1, 2], [0, 3], [1, 3], [2, 3], [0, 4], [1, 4], [2, 4], [3, 4]], [[0, 2, 1], [0, 4, 3], [1, 5, 3], [2, 5, 4], [0, 7, 6], [1, 8, 6], [2, 8, 7], [3, 9, 6], [4, 9, 7], [5, 9, 8]], [[0, 1, 2, 3], [0, 4, 5, 6], [1, 4, 7, 8], [2, 5, 7, 9], [3, 6, 8, 9]], [[0, 1, 2, 3, 4]]])
try:
import figureInfo
figureInfo.setNameDescPath('Regular Pentachoron', '4-dimensional tetrahedron (4-simplex).\nOne of the six regular polychora (4-dimensional analogy of Platonic solids).\nIts cells are tetrahedral.', __file__)
except ImportError: pass