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2. Stern–Brocot tree - Wikipedia

   en.wikipedia.org/wiki/Stern–Brocot_tree

   Stern–Brocot tree. In number theory, the Stern–Brocot tree is an infinite complete binary tree in which the vertices correspond one-for-one to the positive rational numbers, whose values are ordered from the left to the right as in a search tree. The Stern–Brocot tree was introduced independently by Moritz Stern (1858) and Achille Brocot ...

3. Kruskal's tree theorem - Wikipedia

   en.wikipedia.org/wiki/Kruskal's_tree_theorem

   The version given here is that proven by Nash-Williams; Kruskal's formulation is somewhat stronger. All trees we consider are finite. Given a tree T with a root, and given vertices v, w, call w a successor of v if the unique path from the root to w contains v, and call w an immediate successor of v if additionally the path from v to w contains no other vertex.

4. Pythagoras tree (fractal) - Wikipedia

   en.wikipedia.org/wiki/Pythagoras_tree_(fractal)

   The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, [ 1 ] it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle , in a configuration traditionally used to depict the Pythagorean theorem .

5. List of fractals by Hausdorff dimension - Wikipedia

   en.wikipedia.org/wiki/List_of_fractals_by...

   Can be built with two dragon curves. One of the six 2-rep-tiles in the plane (can be tiled by two copies of itself, of equal size). [13] ⁡ 1.5850: 3-branches tree: Each branch carries 3 branches (here 90° and 60°). The fractal dimension of the entire tree is the fractal dimension of the terminal branches.

6. Calkin–Wilf tree - Wikipedia

   en.wikipedia.org/wiki/Calkin–Wilf_tree

   In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond one-to-one to the positive rational numbers. The tree is rooted at the number 1, and any rational number expressed in simplest terms as the fraction ⁠a b⁠ has as its two children the numbers ⁠a a + b⁠ and ⁠a + b b⁠. Every positive rational number ...

7. Tree (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Tree_(graph_theory)

   v − 1. Chromatic number. 2 if v > 1. Table of graphs and parameters. In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph. [1] A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently ...

8. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   Compound of five great rhombihexahedra. Compound of five icosahedra. Compound of five octahedra. Compound of five octahemioctahedra. Compound of five small cubicuboctahedra. Compound of five small rhombicuboctahedra. Compound of five small rhombihexahedra. Compound of five small stellated dodecahedra.

9. Farey sequence - Wikipedia

   en.wikipedia.org/wiki/Farey_sequence

   In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...