Current Blender X3D exporter in SVN writes either a material or a texture node, but never both. This means that your surface is either not textured, or it is unlit (X3D spec clearly says that shapes without material are unlit, i.e. rendered with GL_LIGHTING turned off).

This is quite bad IMO, as (almost?) all normal models want some textures and want to be lit. This is also a functionality lost, in comparison to Blender 2.56 X3D exporter, or old Blender 2.4x VRML 97 exporters --- they were able to generate lit models with textures, if you assigned a texture to the material (without marking material as "face texture"). New exporter in SVN doesn't differentiate between a texture activated by "face texture" and a texture activated by adding it to the material node (which is good idea IMHO), but it also makes every textured shape unlit (which is a bad for normal uses, again IMHO).

I propose the attached simple patch, to write both texture and material. This simply makes "if image" and "if material" tests independent, which I think is most useful.

Note that you can still make shapes unlit --- just delete the Blender material. Then X3D material will also not exist, and shape will be unlit in X3D.

(Note that it also always adds an <Appearance> node, which is OK -- empty <Appearance> node is equivalent to not existing.)

The patch is done and tested vs current SVN as of today, 35189. Test with any Blender textured model, and some X3D browser (I used my view3dscene).