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2. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.

3. Category:Euclidean geometry - Wikipedia

   en.wikipedia.org/wiki/Category:Euclidean_geometry

   Download as PDF; Printable version; ... Euclidean plane geometry (11 C, 96 P) R. ... Book of Lemmas; British flag theorem; Busemann's theorem; C.

4. Euclid's Data - Wikipedia

   en.wikipedia.org/wiki/Euclid's_Data

   Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Data (Greek: Δεδομένα , Dedomena) is a work by ...

5. Euclidean geometry - Wikipedia

   en.wikipedia.org/wiki/Euclidean_geometry

   Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions ( theorems ) from these.

6. Indra's Pearls (book) - Wikipedia

   en.wikipedia.org/wiki/Indra's_Pearls_(book)

   Indra's Pearls: The Vision of Felix Klein is a geometry book written by David Mumford, Caroline Series and David Wright, and published by Cambridge University Press in 2002 and 2015. The book explores the patterns created by iterating conformal maps of the complex plane called Möbius transformations , and their connections with symmetry and ...

7. Birkhoff's axioms - Wikipedia

   en.wikipedia.org/wiki/Birkhoff's_axioms

   These postulates are all based on basic geometry that can be confirmed experimentally with a scale and protractor. Since the postulates build upon the real numbers, the approach is similar to a model-based introduction to Euclidean geometry. Birkhoff's axiomatic system was utilized in the secondary-school textbook by Birkhoff and Beatley. [2]

8. Erlangen program - Wikipedia

   en.wikipedia.org/wiki/Erlangen_program

   In particular, Euclidean geometry was more restrictive than affine geometry, which in turn is more restrictive than projective geometry. Klein proposed that group theory , a branch of mathematics that uses algebraic methods to abstract the idea of symmetry , was the most useful way of organizing geometrical knowledge; at the time it had already ...

9. British flag theorem - Wikipedia

   en.wikipedia.org/wiki/British_flag_theorem

   Download as PDF; Printable version; In other projects ... In Euclidean geometry, ... The Colossal Book of Short Puzzles and Problems. W. W.