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  2. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Using a markable ruler, regular polygons with solid constructions, like the heptagon, are constructible; and John H. Conway and Richard K. Guy give constructions for several of them. [20] The neusis construction is more powerful than a conic drawing tool, as one can construct complex numbers that do not have solid constructions.

  3. Geometric Origami - Wikipedia

    en.wikipedia.org/wiki/Geometric_Origami

    Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.

  4. Constructible polygon - Wikipedia

    en.wikipedia.org/wiki/Constructible_polygon

    The concept of constructibility as discussed in this article applies specifically to compass and straightedge constructions. More constructions become possible if other tools are allowed. The so-called neusis constructions, for example, make use of a marked ruler. The constructions are a mathematical idealization and are assumed to be done exactly.

  5. Huzita–Hatori axioms - Wikipedia

    en.wikipedia.org/wiki/Huzita–Hatori_axioms

    Adding the neusis axiom 6, all compass-straightedge constructions, and more, can be made. In particular, the constructible regular polygons with these axioms are those with 2 a 3 b ρ ≥ 3 {\displaystyle 2^{a}3^{b}\rho \geq 3} sides, where ρ {\displaystyle \rho } is a product of distinct Pierpont primes .

  6. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    Plastic Pattern Blocks. Pattern Blocks are a set of mathematical manipulatives developed in the 1960s. The six shapes are both a play resource and a tool for learning in mathematics, which serve to develop spatial reasoning skills that are fundamental to the learning of mathematics.

  7. Geometric drawing - Wikipedia

    en.wikipedia.org/wiki/Geometric_drawing

    Geometric drawing made with ruler and compass. Geometric drawing consists of a set of processes for constructing geometric shapes and solving problems with the use of a ruler without graduation and the compass (drawing tool). [1] [2] Modernly, such studies can be done with the aid of software, which simulates the strokes performed by these ...

  8. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.

  9. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    In 1949, R C Yeates' book "Geometric Methods" described three allowed constructions corresponding to the first, second, and fifth of the Huzita–Hatori axioms. [6] [7] The Yoshizawa–Randlett system of instruction by diagram was introduced in 1961. [8] Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles.