I am trying to find a general solution for drawing clock face like graphical objects in Mathematica. I've already implemented a version of my own, but I think a much better solution must exist. A neater version with less code or clearer thought process would be appreciated.
My version:
radius = 1;
elementList =
Join[Table[i, {i, 3, 1, -1}], Table[i, {i, 12, 4, -1}]];
elementNumber = Length[elementList];
thetaList = Table[i, {i, 0, 2 Pi, 2 Pi/elementNumber}][[1 ;; 12]];
coordinateList = Map[{radius*Cos[#], radius*Sin[#]} &, thetaList];
objectList =
Map[Style[#, FontFamily -> "Georgia", FontSize -> 30] &,
elementList];
Graphics[
Join[
MapThread[Text[#1, #2] &, {objectList, coordinateList}],
{Circle[{0, 0}, 1.2*radius]}
]
]
Here is one way to make a clock:
clockFace = Import["http://i.imgur.com/ufanv.jpg"];
{hour, minute, second} = Take[Date[], -3];
hour = Mod[hour, 12] + minute/60.;
Graphics3D[
{
{Texture[clockFace],
Polygon[{{-1, -1, 0}, {1, -1, 0}, {1, 1, 0}, {-1, 1, 0}},
VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}
]
},
{Black, AbsoluteThickness[8],
Line[{{0, 0, 0},
.55 {Cos[Pi/2 - 2 Pi hour/12], Sin[Pi/2 - 2 Pi hour/12], 0}}
]
},
{Black, AbsoluteThickness[5],
Line[{{0, 0, 0},
.8 {Cos[Pi/2 - 2 Pi minute/60], Sin[Pi/2 - 2 Pi minute/60], 0}}
]
}
},
Boxed -> False, Lighting -> "Neutral"]
Addition
Here is a rotating, spinning 3D clock for your amusement:
clockFace = Import["http://i.imgur.com/ufanv.jpg"];
vtc = VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}};
hand[thickness_, radius_, time_] := {AbsoluteThickness[thickness],
Line[{{0, 0, -1}, {radius Cos[Pi/2 + 2 Pi time],
radius Sin[Pi/2 + 2 Pi time], -1}}],
Line[{{0, 0, 1}, {radius Cos[Pi/2 - 2 Pi time],
radius Sin[Pi/2 - 2 Pi time], 1}}],
Line[{{0, -1, 0}, {radius Cos[Pi/2 - 2 Pi time], -1,
radius Sin[Pi/2 - 2 Pi time]}}],
Line[{{0, 1, 0}, {radius Cos[Pi/2 + 2 Pi time], 1,
radius Sin[Pi/2 + 2 Pi time]}}],
Line[{{-1, 0, 0}, {-1, radius Cos[Pi/2 + 2 Pi time],
radius Sin[Pi/2 + 2 Pi time]}}],
Line[{{1, 0, 0}, {1, radius Cos[Pi/2 - 2 Pi time],
radius Sin[Pi/2 - 2 Pi time]}}]};
Dynamic[
{hour, minute, second} = Take[Date[], -3];
hour = Mod[hour, 12] + minute/60.;
Graphics3D[{
{Texture[clockFace],
Polygon[{{1, -1, -1}, {-1, -1, -1}, {-1, 1, -1}, {1, 1, -1}},
vtc],
Polygon[{{-1, -1, 1}, {1, -1, 1}, {1, 1, 1}, {-1, 1, 1}}, vtc],
Polygon[{{-1, 1, -1}, {-1, -1, -1}, {-1, -1, 1}, {-1, 1, 1}},
vtc], Polygon[{{1, -1, -1}, {1, 1, -1}, {1, 1, 1}, {1, -1, 1}},
vtc], Polygon[{{-1, -1, -1}, {1, -1, -1}, {1, -1, 1}, {-1, -1,
1}}, vtc],
Polygon[{{1, 1, -1}, {-1, 1, -1}, {-1, 1, 1}, {1, 1, 1}}, vtc]
}, {Black,
hand[8, .55, hour/12],
hand[5, .8, minute/60],
hand[3, .8, second/60]
}
},
Boxed -> False, Lighting -> "Neutral",
ViewPoint ->
5 {Cos[2 Pi second/60], Sin[2 Pi second/60],
Sin[2 Pi second/30]}, SphericalRegion -> True,
Background -> Black, ImageSize -> Full]] // Deploy