Mathematical Origami - Mathigon
Explore the beautiful world of Origami and mathematics. Be amazed by stunning photographs, try our folding instructions, or learn about the mathematical background.
Tessellations – Polygons and Polyhedra - Mathigon
Here you can create your own tessellations using regular polygons. Simply drag new shapes from the sidebar onto the canvas. Which shapes tessellate well? Are there any shapes that don’t tessellate at all? Try to create interesting patterns!
Spheres, Cones and Cylinders – Circles and Pi - Mathigon
But our world is actually three-dimensional, so lets have a look at some 3D solids that are based on circles: A cylinder consists of two congruent, parallel circles joined by a curved surface. A cone has a circular base that is joined to a single point (called the vertex).
Fractals – Mathigon
In mathematics, we call this property self-similarity, and shapes that have it are called fractals. They are some of the most beautiful and most bizarre objects in all of mathematics. To create our own fractals, we have to start with a simple pattern and then repeat it …
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Heron of Alexandria – Cronologia matematicii - Mathigon
Zhu shows how to solve problems using systems of polynomial equations with up to four unknown variables, 天 (Heaven), 地 (Earth), 人 (Man) and 物 (Matter). He explains how to eliminate variables and how to find the side length of two and three …
Regiomontanus – Chronologie des mathématiques – Mathigon
Zhu shows how to solve problems using systems of polynomial equations with up to four unknown variables, 天 (Heaven), 地 (Earth), 人 (Man) and 物 (Matter). He explains how to eliminate variables and how to find the side length of two and three …
Drawing Wallpaper Symmetries – Transformations and Symmetry
Unfortunately there is no simple reason why there are 17 of these groups, and proving it requires more advanced mathematics. Instead, you can try drawing your own repeated patterns for each of the 17 wallpaper groups:
Almanac of Interesting Numbers - Mathigon
humber of 6-hexes, shapes made by joining six regular hexagons. 83. atomic number of Bismuth, the heaviest stable element. Sophie Germain and Eisenstein prime. 84. number of 5-faces of a seven-dimensional hypercube. largest order of a permutation of 14 elements. 85.
Transformations and Symmetry – Mathigon
We often denote the image of a shape A as A ’, pronounced “A prime”. There are many different types of transformation, which we’ll explore in more detail throughout this course.