Wei's surface/藤森祥一

	藤森祥一 (Shoichi Fujimori) 広島大学大学院先進理工系科学研究科数学プログラム (理学部数学科幾何学グループ)

Wei's surface (doubly periodic)

Drag to Rotate, Scroll the Mouse Wheel to Scale, Ctrl+Drag to Translate.

INFO: Time for setup and init of GL element no. 0: 25 ms.

INFO: activate ViewpointBindable null/

INFO: activate first X3DViewpointNode for X3DViewpointNode-stack

INFO: activate BackgroundBindable null/defaultX3DBackgroundNode

INFO: register BackgroundBindable null/defaultX3DBackgroundNode

INFO: create new Background for X3DBackgroundNode-stack

INFO: System ready.

INFO: activate NavigationInfoBindable null/defaultX3DNavigationInfoNode

INFO: register NavigationInfoBindable null/defaultX3DNavigationInfoNode

INFO: NavType: undefined

INFO: Switch to examine mode.

INFO: create new NavigationInfo for X3DNavigationInfoNode-stack

INFO: activate EnvironmentBindable null/defaultX3DEnvironmentNode

INFO: register EnvironmentBindable null/defaultX3DEnvironmentNode

INFO: create new Environment for X3DEnvironmentNode-stack

INFO: register ViewpointBindable null/

INFO: setBaseURL:

INFO: webgl2 context found Vendor: WebKit Google Inc. (Google), Renderer: WebKit WebGL ANGLE (Google, Vulkan 1.3.0 (SwiftShader Device (LLVM 10.0.0) (0x0000C0DE)), SwiftShader driver), Version: WebGL 2.0 (OpenGL ES 3.0 Chromium), ShadingLangV.: WebGL GLSL ES 3.00 (OpenGL ES GLSL ES 3.0 Chromium), MSAA samples: 4 Extensions: EXT_clip_control, EXT_color_buffer_float, EXT_color_buffer_half_float, EXT_conservative_depth, EXT_depth_clamp, EXT_float_blend, EXT_polygon_offset_clamp, EXT_texture_compression_bptc, EXT_texture_compression_rgtc, EXT_texture_filter_anisotropic, EXT_texture_mirror_clamp_to_edge, EXT_texture_norm16, NV_shader_noperspective_interpolation, OES_draw_buffers_indexed, OES_sample_variables, OES_shader_multisample_interpolation, OES_texture_float_linear, OVR_multiview2, WEBGL_clip_cull_distance, WEBGL_compressed_texture_astc, WEBGL_compressed_texture_etc, WEBGL_compressed_texture_etc1, WEBGL_compressed_texture_s3tc, WEBGL_compressed_texture_s3tc_srgb, WEBGL_debug_renderer_info, WEBGL_debug_shaders, WEBGL_lose_context, WEBGL_multi_draw, WEBGL_polygon_mode, WEBGL_stencil_texturing

INFO: Initializing X3DCanvas for [x3dom-1744583115700-canvas]

INFO: Creating canvas for (X)3D element...

INFO: Found 1 X3D and nodes...

INFO: X3DOM 1.8.3, Build: 7482, Revison: 03da6d38708e4eafc94c2305fdc175312a880321, Date: Tue Aug 1 11:18:17 2023 +0200

$\lambda =0.8$ ,

$\lambda_1\approx 3.24196$ .

Weierstrass Data

$\overline{M}=\left\{(z,w)\in(\mathbb{C}\cup\{\infty\})^2\;;\;w^2=\frac{(z-\lambda)(z+1)(z-\lambda_1)}{(z+\lambda)(z-1)(z+\lambda_1)}\right\},$ where $\lambda$ and $\lambda_1$ are real constants so that $0\lt\lambda\lt 1\lt\lambda_1$ . $M=\overline{M}\setminus\{(a,1),\,(a,-1),\,(-a,1),\,(-a,-1)\},$ where $a=\sqrt{\lambda\lambda_1/(\lambda +\lambda_1 -1)}$ . $g=w,\qquad \eta = \frac{dz}{(z^2-a^2)w}.$ For given $\lambda\in (0,1)$ , we can choose $\lambda_1\gt 1$ so that $f$ is single valued on $M$ as a map into $\mathbb{R}^3/\Lambda$ , where $\Lambda=\{n_1(v_1,0,0)+n_2(0,v_2,0)\;;\;n_1,n_2\in\mathbb{Z}\}$ for some non-zero real constants $v_1$ , $v_2$ .

藤森 祥一 (Shoichi Fujimori)

Wei's surface (doubly periodic)

Weierstrass Data

藤森祥一 (Shoichi Fujimori)