This newly discovered shape is known as the “Chestahedron,” and we think this is one of the most fascinating shapes ever found in mathematics. It’s directly related to all of the platonic solids through a series of transformations, and it was discovered only fairly recently by a man named Frank Chester, who was searching for a seven sided geometry ...

In addition to the venerable Chestahedron, the "Star Fort Crystal" is another significant new discovery created from our folded star fort geometry. We haven't been able to find anyone else referencing even the most fundamental element in a pentagonal star fort construction model however. So we're naming this element a “Pentagonal Triangle.”

The Kepler Triangle is named after the German mathematician and astronomer Johannes Kepler (1571–1630), who wrote about this shape in a 1597 letter. Two concepts that can be used to analyze this triangle, the Pythagorean theorem and the golden ratio, were both of interest to Kepler, who wrote about this shape in a 1597 letter ...

Gabriel's Horn Interactive app for evaluating ovoid shapes and circles resulting from setting two points for an intersecting plane. Perform an interactive analysis of the "Painter's Paradox" geometry and see the results. You can also download the oval shapes you create, and the metrics dashboard will keep track of your data...

The Vesica Piscis, sometimes called the "Vesica Pisces," is another one of the more important shapes in mathematics, which is formed by the intersection of two circles with the same radius. The intersection is oriented in such a way that you have the center of each circle lying on the perimeter of the opposite circle...

We have some new insights to share about an age old technique in mathematics called Squaring The Circle. This research was partly inspired by an old illustration we found in a pdf publication written about Viktor Schauberger (1885 - 1958). In Figure 1, we can see how they oriented the squares, circles, and triangles in this particular model ...

The Multiplicative Inverse is also known as the reciprocal of a number x, denoted by 1/x for all numbers of x not equal to zero. This can be expressed as the reciprocal function y = 1/x, and a graph of this function is shown in Figure 1. Originating from the reciprocal function is a fascinating geometric figure known as Gabriel's Horn ...

The Five Pointed Star has become a common symbol in Western Culture, most notably introduced on the flag of the United States. But it’s also a very interesting geometric shape which is worthy of further investigation. In Sacred Geometry, one of the most fascinating concepts that intrigues us the most is the Golden Ratio...

Explore the basics of Circle Theorems, essential in understanding circle geometry, discovering key principles, practical applications, and problem-solving techniques. Familiarize yourself with the key terms used in circle geometry ...

Explore the fascinating world of heptagon geometry, uncovering its unique angles, construction of a seven-pointed star, and diverse applications in design, culture, and education, as well as an interesting relationship to pi ...

We wrote a Python script that creates a library of the numbers we want to check against, and then apply an analytics algorithm to check for a variety of possible relationships like equality and divisibility. But we can also check only the decimal portion to see if any familiar patterns emerge ...

In Euclidean geometry, "Ptolemy's theorem" is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus) ...

We used MathJax for publishing math on web pages. This is fairly easy to set up according to their instructions, and you can refer to their demos page for specific examples. Another great tool to use along with this is MathEQ. This is a builder tool that allows you to visually set up your equations. Then you can simply copy ...

Our new Math Zone Shirts are available now! The inspiration for The Math Zone logo design is the "Seed of Life," which is one of the most significant shapes in the history of sacred geometry. The seed of life is constructed with seven intertwining circles, and it was used as a symbol for the seven days of creation ...