Dunescape

http://yourenvironmentoftheweek.blogspot.com.au/2011_07_01_archive.html

Interesting overlapping and interpolating of ruled surfaces to create varied geometry

Fibonacci in Grasshopper

http://www.grasshopper3d.com/forum/topics/fibonacci-square-sequence

Includes a link download a definition to form a Fibonacci spiral in GH

 http://www.grasshopper3d.com/photo/test-no1fibonacci-bridge?context=user

Another example of someone exploring how the Fibonacci sequence might manifest itself in a structure

 http://eat-a-bug.blogspot.com.au/2009/08/fibonacci-tiling.html

This page also includes a GH definition to create the pattern above. 

hexigloo

The HEXigloo cardboard pavilion features an organic repetitive pattern that mimics the cellular structure of honeycombs. The recyclable honeycomb cells are attached to each other using standard plastic fasteners, and the entire structure was assembled over the course of seven days and nights of continuous work.
It was built using a methodical process – the first step was to map a hexagonal grid onto a pre-modeled surface. The mapped hexagons were then extruded vertically to make a binding surface. Finally, the entire structure was reinforced to make it more rigid, stable and long-lasting.

http://inhabitat.com/hexigloo-honeycomb-cardboard-pavilion-pops-up-in-bucharest/

Simón Vélez

http://publiesarq.wordpress.com/2010/11/09/simon-velez-arquitectura-en-bambu-conferencia/

Seashell cafe (fibonnaci)

http://www.archicentral.com/spiral-cafe-birmingham-uk-marks-barfield-architects-4034/

Cafe based on the fibobacci sequence

Starbucks

http://openbuildings.com/buildings/starbucks-coffee-at-dazaifutenmangu-omotesando-profile-43377?_show_description=1#

The Sequential Structure I & II

This teaching project explores potentials of additive digital fabrication of structural frameworks in wood. Standard wooden slat cut to individual sizes are being placed and glued by a robotic fabrication unit. The project aims on developing a spatial parametric structural framework made of wooden slats. The design of the framework defines spatial qualities and light conditions in its interior space. This leads to locally differentiated systems, taking into account structural requirements as well as spatial and formal aspects of the design.

http://www.block.arch.ethz.ch/teaching/sequential-structure-I-II