File:Hilbert Curve - 6.webm
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Hilbert_Curve_-_6.webm (WebM audio/video file, VP8, length 51 s, 360 × 360 pixels, 111 kbps overall, file size: 694 KB)
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Summary
| Description |
English: Hilbert Curve at its sixth iteration |
| Date | |
| Source | Own work |
| Author | CalmWords |
VectorRotater[{x_, y_}, \[Theta]_, {x0_,
y0_}] := ({{Cos[\[Theta]], -Sin[\[Theta]]}, {Sin[\[Theta]],
Cos[\[Theta]]}}.Transpose[{{x, y} - {x0, y0}}] + {x0, y0}) //
Flatten
VectorScaler[{x_, y_}, r_, {x0_, y0_}] :=
r*({x - x0, y - y0}) + {x0, y0};
HilbertCurve[n_] := (
HilbertCurve[n] =
If[n == 1,
{{1/4, 1/4}, {1/4, 3/4}, {3/4, 3/4}, {3/4, 1/4}},
prev = HilbertCurve[n - 1];
scaledPrev = VectorScaler[#, 1/2, {1/2, 1/2}] & /@ prev;
scaledPrevRot1 =
Reverse[VectorRotater[#, \[Pi]/2, {1/2, 1/2}] & /@ scaledPrev];
scaledPrevRot2 =
Reverse[VectorRotater[#, -\[Pi]/2, {1/2, 1/2}] & /@ scaledPrev];
Join[
{-1/4, -1/4} + # & /@ scaledPrevRot2,
{-1/4, 1/4} + # & /@ scaledPrev,
{1/4, 1/4} + # & /@ scaledPrev,
{1/4, -1/4} + # & /@ scaledPrevRot1]
]
)
Licensing
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- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:06, 24 July 2013 | 51 s, 360 × 360 (694 KB) | CalmWords | User created page with UploadWizard |
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