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2. Block graph - Wikipedia

   en.wikipedia.org/wiki/Block_graph

   In graph theory, a branch of combinatorial mathematics, a block graph or clique tree [1] is a type of undirected graph in which every biconnected component (block) is a clique. Block graphs are sometimes erroneously called Husimi trees (after Kôdi Husimi ), [ 2 ] but that name more properly refers to cactus graphs , graphs in which every ...

3. Base ten blocks - Wikipedia

   en.wikipedia.org/wiki/Base_ten_blocks

   Wooden Dienes blocks in units of 1, 10, 100 and 1000 Plastic Dienes blocks in use. Base ten blocks, also known as Dienes blocks after popularizer Zoltán Dienes (Hungarian: [ˈdijɛnɛʃ]), are a mathematical manipulative used by students to practice counting and elementary arithmetic and develop number sense in the context of the decimal place-value system as a more concrete and direct ...

4. Pattern Blocks - Wikipedia

   en.wikipedia.org/wiki/Pattern_blocks

   Pattern blocks were developed, along with a Teacher's Guide to their use, [1] at the Education Development Center in Newton, Massachusetts as part of the Elementary Science Study (ESS) project. [5] The first Trial Edition of the Teacher's Guide states: "Work on Pattern Blocks was begun by Edward Prenowitz in 1963.

5. Clique (graph theory) - Wikipedia

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

   Cliques are one of the basic concepts of graph theory and are used in many other mathematical problems and constructions on graphs. Cliques have also been studied in computer science : the task of finding whether there is a clique of a given size in a graph (the clique problem ) is NP-complete , but despite this hardness result, many algorithms ...

6. Three utilities problem - Wikipedia

   en.wikipedia.org/wiki/Three_utilities_problem

   It has nine edges, one edge for each of the pairings of a house with a utility, or more abstractly one edge for each pair of a vertex in one subset and a vertex in the other subset. Planar graphs are the graphs that can be drawn without crossings in the plane, and if such a drawing could be found, it would solve the three utilities puzzle. [13 ...

7. Block-stacking problem - Wikipedia

   en.wikipedia.org/wiki/Block-stacking_problem

   The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.