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Hyperbolic Geometry In the area of mathematics known as hyperbolic geometry, spaces having a constant negative curvature called hyperbolic spaces are studied. This sort of geometry is different from Euclidean geometry, which is based on the notion of a flat plane and is the type of geometry with which we are most familiar.The way that parallel lines are handled in hyperbolic and Euclidean geometry is one of the key contrasts between the two systems of geometry. Parallel lines are those in Euclidean geometry that never cross and are always spaced equally apart. Parallel lines can cross one other in hyperbolic...

Artist Statement Pardesco As an artist, my vision is to explore the beauty and complexity of symmetry, proportion and harmony through my work. The work of MC Escher has greatly influenced me, specifically the way he utilized mathematical concepts such as tessellations and infinity in his art. I strive to create art that is not only visually striking, but also holds a deeper meaning and understanding of the world around us. My practice spans across a variety of mediums, from traditional 2D drawings to intricate 3D sculptures, utilizing the latest technology such as CNC machines, laser cutters, and computer-aided design...

The Platonic Solids   The Platonic solids are five geometric shapes that are named after the ancient Greek philosopher Plato. They are: The tetrahedron, which is a four-faced solid made up of four equilateral triangles. It is often associated with the element of fire and represents balance and stability. The hexahedron, also known as the cube, which is a six-faced solid made up of six squares. It is often associated with the element of earth and represents grounding and stability. The octahedron, which is an eight-faced solid made up of eight equilateral triangles. It is often associated with the element...

The Golden Ratio The golden ratio, also known as the golden mean or the divine proportion, is a mathematical concept that describes a ratio of approximately 1.618. This ratio can be found in a variety of natural and man-made objects and is often associated with beauty and aesthetics. The golden ratio can be represented by the Greek letter phi, which is approximately equal to 1.618. It is a mathematical constant that appears in a variety of contexts, including geometry, algebra, and number theory. The Fibonacci sequence, a series of integers where each number is the sum of the two preceding...

Sacred Geometry Artist Pardesco In addition to being a well-known fractal artist, Pardesco is a master in sacred geometry art. This was the starting point of Pardesco's artistic career, and it is a field he is still researching and innovating in today. People in over  27 nations have purchased Sacred Geometry artwork by Pardesco, demonstrating its universality and appeal.The exquisite laser-cut and engraved geometric patterns that make up Pardesco's Sacred Geometry art are what set it apart. These designs are based on the age-old ideas of sacred geometry, which asserts that specific geometrical forms and patterns have mystical and spiritual...