The complete A-Z dictionary of sacred geometry terms, symbols, and mathematical concepts — from the Fibonacci sequence to the Vesica Piscis.
The 13 semi-regular polyhedra that are convex, have identical vertices, and are composed of two or more types of regular polygons. Unlike the Platonic solids, they are not perfectly symmetrical, but they appear frequently in nature and architecture. Examples include the truncated icosahedron (the shape of a soccer ball) and the cuboctahedron.
The central point in a yantra, particularly the Sri Yantra. In Sanskrit, bindu means 'point' or 'dot.' It represents the source of all creation — the singularity from which the universe expands. In meditation, focusing on the bindu is said to lead to a state of pure consciousness beyond thought.
The study of visible sound and vibration patterns. When sound frequencies are applied to a surface covered with sand, salt, or liquid, they create geometric patterns that closely resemble sacred geometry symbols. The word comes from the Greek 'kyma' (wave). Cymatics provides scientific evidence that sound creates geometry, supporting ancient teachings that the universe was 'spoken into existence.'
One of the five Platonic solids, composed of 12 regular pentagonal faces, 30 edges, and 20 vertices. Plato associated it with the cosmos or ether — the fifth element that makes up the heavens. The dodecahedron appears in the structure of certain viruses and in the geometry of the universe itself (some cosmologists have proposed that the universe has a dodecahedral shape).
A series of numbers where each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... As the sequence progresses, the ratio between consecutive numbers approaches the Golden Ratio (1.618). The Fibonacci sequence governs the growth patterns of shells, flowers, pinecones, and galaxies. Named after the 13th-century Italian mathematician Leonardo Fibonacci, though the sequence was known in ancient India centuries earlier.
A sacred geometric pattern composed of multiple overlapping circles arranged in a flower-like formation. It consists of 19 complete circles and 36 partial circles within a larger circle. Found in ancient temples across Egypt, China, India, and Europe, it is considered one of the oldest sacred symbols in existence. The pattern contains the blueprint for the Fruit of Life, Metatron's Cube, and all five Platonic solids.
A geometric shape that exhibits self-similarity — the same pattern repeats at every scale. Fractals appear throughout nature in coastlines, snowflakes, ferns, lightning bolts, and blood vessels. The Mandelbrot set is the most famous mathematical fractal. In sacred geometry, fractals represent the infinite nature of creation — the same patterns repeating from the subatomic to the cosmic scale.
A sacred geometric figure derived from the Flower of Life by connecting the centers of 13 specific circles. It consists of 13 circles connected by 78 lines. The Fruit of Life is considered the 'blueprint of the universe' because it contains the template for Metatron's Cube, which in turn contains all five Platonic solids.
The angle (approximately 137.5°) derived from the Golden Ratio, used by plants to arrange their leaves, seeds, and petals for maximum exposure to sunlight and rain. This angle ensures that no two leaves or seeds are directly above each other, maximizing photosynthesis and seed packing. The Golden Angle is why sunflower seeds form the beautiful spiral patterns seen in nature.
A mathematical proportion (approximately 1.618, represented by the Greek letter phi, φ) found throughout nature, art, and architecture. When a line is divided so that the ratio of the longer part to the shorter part equals the ratio of the whole line to the longer part, that ratio is the Golden Ratio. It appears in the spiral of a nautilus shell, the proportions of the human body, the structure of DNA, and the design of the Parthenon.
A logarithmic spiral that grows by a factor of the Golden Ratio (1.618) for every quarter turn. It is constructed from a series of Golden Rectangles, each divided into a square and a smaller Golden Rectangle. The Golden Spiral appears in nautilus shells, galaxies, hurricanes, and the arrangement of seeds in sunflowers. It represents the pattern of natural growth and expansion.
A six-sided polygon that appears extensively in nature and sacred geometry. Honeycombs, snowflakes, basalt columns, and the carbon structure of graphene all exhibit hexagonal geometry. The hexagon is the most efficient shape for tiling a plane — it uses the least perimeter to enclose the most area. In sacred geometry, the hexagon is associated with harmony, balance, and the union of opposites.
One of the five Platonic solids, composed of 20 equilateral triangular faces, 30 edges, and 12 vertices. Plato associated it with water. The icosahedron appears in the structure of many viruses (including some coronaviruses), in the geometry of certain proteins, and in Buckminster Fuller's geodesic dome designs. It is the Platonic solid with the most faces.
A form of Jewish mysticism that uses sacred geometry, including the Tree of Life and Metatron's Cube, to map the structure of reality and the relationship between the divine and the material world. The Kabbalistic Tree of Life consists of 10 sefirot (divine attributes) connected by 22 paths, and is considered a map of creation. Metatron's Cube is central to Kabbalistic teachings.
The figure-eight or infinity symbol (∞), representing the infinite and eternal. In sacred geometry, it symbolizes the endless cycle of creation and destruction, the balance of opposing forces, and the infinite nature of consciousness. The lemniscate appears in the mathematics of complex numbers and in the orbits of certain celestial bodies.
A geometric symbol used in Hindu and Buddhist traditions as a spiritual and ritual tool. The word 'mandala' means 'circle' in Sanskrit. Mandalas typically feature a central point (bindu) surrounded by concentric geometric patterns. They are used in meditation to focus the mind and represent the cosmos, the self, and the relationship between the two. Carl Jung used mandalas in psychotherapy as symbols of the self.
A sacred geometric figure composed of 13 equal circles with lines connecting their centers. Within this pattern lie all five Platonic solids. Named after the archangel Metatron in Jewish mysticism, it is thought to represent the geometric matrix through which all matter emerges. It appears in the Temple of Osiris at Abydos, Egypt, and is central to Kabbalistic teachings.
One of the five Platonic solids, composed of 8 equilateral triangular faces, 12 edges, and 6 vertices. Plato associated it with air. The octahedron appears in the crystal structure of diamond and fluorite, and in the geometry of certain molecules. It is the dual of the cube — if you connect the centers of a cube's faces, you get an octahedron.
The Greek letter used to represent the Golden Ratio (approximately 1.618033988...). Phi is an irrational number, meaning its decimal expansion never terminates or repeats. It is the only number that satisfies the equation φ = 1 + 1/φ. Phi appears in the Fibonacci sequence, the geometry of pentagons, the proportions of the human body, and throughout nature.
The arrangement of leaves, seeds, and other plant organs in a spiral pattern governed by the Fibonacci sequence and the Golden Angle. Sunflower seeds, pinecone scales, and the petals of many flowers arrange themselves in Fibonacci spirals to maximize space efficiency. Phyllotaxis is one of the most compelling examples of sacred geometry in nature.
The mathematical constant representing the ratio of a circle's circumference to its diameter (approximately 3.14159...). Pi is an irrational, transcendental number that appears throughout mathematics and physics. In sacred geometry, the circle is considered the most perfect shape, and pi is the mathematical expression of its perfection. Pi appears in the geometry of the Great Pyramid of Giza.
The five perfectly symmetrical three-dimensional shapes: tetrahedron (4 faces), cube (6 faces), octahedron (8 faces), dodecahedron (12 faces), and icosahedron (20 faces). Plato associated them with the five classical elements. They are the only three-dimensional shapes where every face, edge, and angle is identical. All five are contained within Metatron's Cube.
The study of geometric patterns, shapes, and proportions that appear throughout nature, art, architecture, and the cosmos. These patterns are considered 'sacred' because ancient cultures believed they encoded the fundamental laws of the universe. Modern science confirms many of these patterns in the structure of DNA, crystals, galaxies, and subatomic particles.
A sacred geometric symbol consisting of seven overlapping circles of equal size, with one circle in the center and six surrounding it. It is considered the origin of the Flower of Life and represents the seven days of creation in many traditions. The Seed of Life contains the Vesica Piscis and is the foundation for many other sacred geometry symbols.
One of the most complex and revered sacred geometry symbols in Hinduism, consisting of nine interlocking triangles arranged around a central bindu. Four triangles point upward (representing Shiva/masculine energy) and five point downward (representing Shakti/feminine energy), creating 43 smaller triangles. Used for over 12,000 years as a meditation tool and map of the cosmos.
The simplest of the five Platonic solids, composed of 4 equilateral triangular faces, 6 edges, and 4 vertices. Plato associated it with fire. The tetrahedron appears in the molecular structure of methane and in the geometry of certain crystals. Two interlocking tetrahedra form the Star Tetrahedron (Merkaba), a powerful symbol in sacred geometry.
A donut-shaped geometric form created by rotating a circle around an axis. The torus is considered one of the most fundamental shapes in the universe — it describes the shape of magnetic fields around planets and stars, the structure of atoms, and the flow of energy in living systems. In sacred geometry, the torus represents the self-sustaining, self-referential nature of the universe.
A Kabbalistic diagram consisting of 10 sefirot (divine attributes) connected by 22 paths, representing the structure of creation and the relationship between the divine and the material world. The Tree of Life is used as a map for spiritual development and appears in many traditions including Kabbalah, Hermeticism, and certain forms of Paganism.
The shape created by the intersection of two circles of equal size, where the center of each circle lies on the circumference of the other. The name means 'bladder of a fish' in Latin. The Vesica Piscis is one of the most fundamental shapes in sacred geometry — it is the first shape created when the Seed of Life begins to form. It appears in Gothic architecture, early Christian art, and is associated with the divine feminine.
A geometric diagram used in Hindu and Tantric traditions as a tool for meditation and spiritual practice. The word 'yantra' means 'instrument' or 'machine' in Sanskrit. Yantras are considered the visual equivalent of mantras — geometric representations of divine energy. The Sri Yantra is the most well-known yantra. Each yantra is associated with a specific deity or cosmic force.