Polymorf - Knowhere


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)
- Symmetry elements defined		- 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
- Icosahedron and dodecahedron		- HCP elements
Symmetry association by truncation		- BCC and CP elements
- Cube/tetrahedron/octahedron		- 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
		- Cubic coordination minerals
		- Triangle prism coordination minerals

III. Building stability (structural engineering)
Structural stability		Buildings
- Two-dimensional stability		- Three-dimensional stability
- Forces and reactions		- 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
- Box girder bridge		Space trusses
IV. Gizmoneering (mechanical engineering)
Gizmos		- Checkerflex
- Piston		Gizmo combos
- Swivel		Gizmo gallery
- Engelwing

Home page