Loading 3D model
You are seeing a 360° image instead.
Connection error. Please try again.
Sorry, the model can't be displayed.
Please check out our FAQ to learn how to fix this issue.
It looks like your browser or this site is blocking some scripts or cookies necessary to properly display the viewer.
Or visit the Help Center for more information:
Hyperbolic Heptagonal Hydrangea 3D Model
I’m not sure if this flower is really hyperbolic, but all of the faces are really affine heptagons.
Being affine heptagons means that each face has a unique viewing angle (projection) where it looks like a regular equalateral heptagon (7 sides). The three central affine heptagons form mutually orthogonal planes which join at the center of the 3-fold symmetry. These three faces don’t necessarily have to be orthogonal. They could be more acute, flatter, or even coplanar or asymmetrical. The tiling can obviously be continued ad nauseum. I stopped at 48 faces. Faces of the same color are congruent.
If anyone can tell me precisely what curve is formed by the faces, please leave a detailed comment.
I’d also like to identify the pattern formed by the set of lines along which each of the affine heptagons is projected as a regular heptagon. Where do they converge if at all? Are they perhaps related to a parabolic reflector? Any insight is welcome.
CC Attribution Creative Commons Attribution
Author must be credited. Commercial use is allowed.Learn more