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2. Foundations of geometry - Wikipedia

   en.wikipedia.org/wiki/Foundations_of_geometry

   Based on ancient Greek methods, an axiomatic system is a formal description of a way to establish the mathematical truth that flows from a fixed set of assumptions. Although applicable to any area of mathematics, geometry is the branch of elementary mathematics in which this method has most extensively been successfully applied.

3. Mathematics - Wikipedia

   en.wikipedia.org/wiki/Mathematics

   Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.

4. Building (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Building_(mathematics)

   For the affine building, an apartment is a simplicial complex tessellating Euclidean space E n−1 by (n − 1)-dimensional simplices; while for a spherical building it is the finite simplicial complex formed by all (n − 1)! simplices with a given common vertex in the analogous tessellation in E n−2.

5. Space (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Space_(mathematics)

   One of the building blocks of a scheme is a topological space. Topological spaces have continuous functions, but continuous functions are too general to reflect the underlying algebraic structure of interest. The other ingredient in a scheme, therefore, is a sheaf on the topological space, called the "structure sheaf". On each open subset of ...

6. Matter - Wikipedia

   en.wikipedia.org/wiki/Matter

   Different building blocks apply depending upon whether one defines matter on an atomic or elementary particle level. One may use a definition that matter is atoms, or that matter is hadrons , or that matter is leptons and quarks depending upon the scale at which one wishes to define matter.

7. AOL Mail

   mail.aol.com

   Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

8. Tessellation - Wikipedia

   en.wikipedia.org/wiki/Tessellation

   In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged.

9. Block design - Wikipedia

   en.wikipedia.org/wiki/Block_design

   A partially balanced incomplete block design with n associate classes (PBIBD(n)) is a block design based on a v-set X with b blocks each of size k and with each element appearing in r blocks, such that there is an association scheme with n classes defined on X where, if elements x and y are ith associates, 1 ≤ i ≤ n, then they are together ...