Knowhere
Discover how the structure of space
determines the shape of things
I. Geometry rules!
II. Structure matters
(symmetry of polyhedra)
(structure of crystals)
Introduction
Atomic packing
- The Pythagorean system
- Simple cubic packing (CP)
- Body centered cubic packing (BCC)
Cubic symmetry
- Simple hexagonal packing (HP)
- Axes and planes of symmetry
- Hexagonal close packing (HCP)
Symmetry association by inscription
- Face centered cubic packing (FCC)
- Octahedron
Geometry and symmetry of elements
- Tetrahedron
- FCC elements
- HCP elements
- BCC and CP elements
- HP elements
- Archimedean solids
- Diamond structure elements
Volumetric relationships of polyhedra
Geometry and symmetry of minerals
- Sectioning polyhedra
- Conventional classification system
Space filling with polyhedra
- Topological classification system
- Uniary space fillers
Topological mineral table
- Binary space fillers
- Tetrahedral coordination minerals
- Tertiary space fillers
- Octahedral coordination minerals
- Tetra./octa. coordination minerals
III. Building stability (structural engineering)
Structural stability
Buildings
- Two-dimensional stability
- Three-dimensional stability
- Forces and reactions
Columns
- Light wood frame construction
Beams
- Wall bearing construction
- Hinged cantilever beam
- Skeleton construction
- Fixed cantilever beam
Long span structures
- Simply supported beam
- Bar joists
- Fixed beam
- Trusses
- Post and lintel
- Grids
- Arched beam
- Spaceframes
- I-beam
- triangular spaceframe
- Truss beam
- square spaceframe
Bridges
- rectangular spaceframe
- Beam bridge
Barrel vaults and cylinders
- Plate girder bridge
- Truss barrel vault and cylinder
- Truss bridge
- Lattice barrel vault and cylinder
- Cantilever bridge
- Flexible hyperbolic cylinder
- Suspension bridge
Folded plate structures
- Cable stayed bridge
Towers
IV. Gizmoneering (mechanical engineering)
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