maths.free › Combinatorics & Graph Theory › Deeper › Design theory
Design theory
Design theory is a subfield of design research concerned with various theoretical approaches towards understanding and delineating design principles, design knowledge, and design practice.
Design theory
Design theory is a subfield of design research concerned with various theoretical approaches towards understanding and delineating design principles, design knowledge, and design practice.
History
Design theory has been approached and interpreted in many ways, from designers' personal statements of design principles, through constructs of the philosophy of design to a search for a design science.
The essay "Ornament and Crime" by Adolf Loos from 1908 is one of the early 'principles' design-theoretical texts. Others include Le Corbusier's Vers une architecture (1923), and Victor Papanek's Design for the real world (1972).
In a 'principles' approach to design theory, the De Stijl movement (founded in 1917) promoted a geometrical abstract, "ascetic" form of purism that was limited to functionality. This modernist attitude underpinned the Bauhaus movement (1919 onwards). Principles were drawn up for design that were applicable to all areas of modern aesthetics.
For an introduction to the philosophy of design see the article by Per Galle at the Royal Danish Academy.
An example of early design science was Altshuller's Theory of inventive problem solving, known as TRIZ, which originated in the Soviet Union in the 1940s. Herbert Simon's 1969 The sciences of the artificial developed further foundations for a science of design. Since then the further development of fields such as design methods, design research, design science, design studies and design thinking has promoted a wider understanding of design theory.
Manje Akukho kalkuli yokuxazulula le nto, kodwa amaphuzu ayo anga kalkuli. Zama enye ngezansi, noma ubhale yakho.
Amaphawu asetshenziswa lapha
Chofoza noma yiluphi uphawu lwesibonakaliso ukuze uthole ukuchaza okuphelele, isithombe, kanye nokuthi iyiphi inhlamvu ekhona ekhuluma ngaso.
Imibuzo abantu bebuza
Permutation or combination?
Ask whether order matters. A lock code is a permutation (order matters); a hand of cards is a combination (it does not).
What is a graph in this sense?
Dots (vertices) joined by lines (edges), not a plot. Road maps, social networks and molecules are graphs; questions like "is there a route" and "how few colours" are graph theory.
Amangxenye wale khasi aguqulwe kusuka Wikipedia (CC BY-SA 4.0). I-condensed futhi iphinde icaciswe lapha; amaphutha awusizo.
Okuningi Combinatorics & Graph Theory
The counting principlesPigeonhole principle and inclusion, exclusionBinomial coefficients and Pascal's triangleRecurrences and generating functionsGraphs: vertices, edges, degreesPaths, cycles, trees, Euler and HamiltonColouring and planar graphs