File:Costa minimal surface.stl
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Size of this PNG preview of this STL file: 800 × 600 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels | 5,120 × 3,840 pixels.
Original file (5,120 × 2,880 pixels, file size: 941 KB, MIME type: application/sla)
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View Costa minimal surface.stl on viewstl.com
Summary
[edit]| Description |
Français : surface minimale de Costa, faite avec Sagemath (encore en travaux)
Code: e1 = CBF(1/2).elliptic_p(CBF(I))
ii = CBF(I)
def fx(u, v):
z = CBF(u) + ii*CBF(v)
z0 = CBF(z).elliptic_zeta(ii)
z1 = CBF(z - 1/2).elliptic_zeta(ii)
zi = CBF(z - ii/2).elliptic_zeta(ii)
return float(1/2*(-z0+pi*CBF(u)+pi**2/4/e1+pi/(2*e1)*(z1-zi)).real_part())
def fy(u, v):
z = CBF(u) + ii*CBF(v)
z0 = CBF(z).elliptic_zeta(ii)
z1 = CBF(z-1/2).elliptic_zeta(ii)
zi = CBF(z-ii/2).elliptic_zeta(ii)
return float(1/2*(-ii*z0+pi*CBF(v)+pi**2/4/e1-pi/(2*e1)*(ii*z1-ii*zi)).real_part())
def fz(u, v):
ell = (CBF(u)+ii*CBF(v)).elliptic_p(ii)
return float(sqrt(CBF(2*pi))/4 * abs((ell-e1) / (ell+e1)).log())
P = parametric_plot3d((fx, fy, fz), (u, 0, 1), (v, 0, 1))
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| Date | |
| Source | Own work |
| Author | Kilom691 |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- 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.
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The uploader of this file has agreed to the Wikimedia Foundation 3D patent license: This file and any 3D objects depicted in the file are both my own work. I hereby grant to each user, maker, or distributor of the object depicted in the file a worldwide, royalty-free, fully-paid-up, nonexclusive, irrevocable and perpetual license at no additional cost under any patent or patent application I own now or in the future, to make, have made, use, offer to sell, sell, import, and distribute this file and any 3D objects depicted in the file that would otherwise infringe any claims of any patents I hold now or in the future. Please note that in the event of any differences in meaning or interpretation between the original English version of this license and a translation, the original English version takes precedence. |
This diagram was created with SageMath.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:47, 17 February 2022 |  | 5,120 × 2,880 (941 KB) | Kilom691 (talk | contribs) | much better depiction |
| 18:15, 19 January 2019 |  | 5,120 × 2,880 (1.35 MB) | Kilom691 (talk | contribs) | User created page with UploadWizard |
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