Chapter 1
The Lateralus equation
Chapter 2
Breaking the grid
Chapter 3
Sacred geometry and visual math
Ch 3 · Sacred geometry and visual math
mankai Sacred Geometry and Visual Math
The perfect spiral spinning through the sound, We find the sacred math that keeps us bound!
mankai Sound as Physical Geometry
Watch the resonance divide the plate, where the sand settles on the silent lines.
mankai Carey configures his acoustic drums and electronic Mandala pads to mirror the Merkaba, a three-dimensional star tetrahedron.
mankai Standard compasses and straightedges cannot construct a perfect seven-pointed star.
BETA
mankai Decode John Dee's sigils to discover how progressive rock turns math into music.
Fun Fact
Visible sound waves: Physicist Ernst Chladni proved in 1787 that drawing a violin bow over a sand-covered plate organizes the grains into perfect geometric shapes.
Glossary
sacred geometry (noun)
A system of spiritual beliefs attributing cosmic significance to certain geometric shapes and mathematical proportions. Drummer Danny Carey arranged his performance pads using these geometric principles for the 2001 album Lateralus.
A system of spiritual beliefs attributing cosmic significance to certain geometric shapes and mathematical proportions. Drummer Danny Carey arranged his performance pads using these geometric principles for the 2001 album Lateralus.
Quiz
What is the name of the electronic drum pads Danny Carey uses in his setup, which are arranged in geometric patterns around his kit?
mankai His signature ride cymbals and custom-built drum kits feature engraved esoteric sigils, most notably the mathematician's 1564 Hieroglyphic Monad.
Quiz
What three-dimensional star shape from ancient mysticism does Danny Carey use as a geometric blueprint for arranging his drum kit?
Quiz
What seven-pointed geometric star, which cannot be drawn using only a standard compass and ruler, is the central visual symbol of Tool's album *Fear Inoculum*?
Quiz
Which member of Tool, who also has a background in special effects and filmmaking, co-designs the band's highly geometric visual art and music videos?
Quiz
Which visionary artist collaborated with Tool to design the iconic, multi-layered anatomy and spiritual artwork for the albums *Lateralus* and *10,000 Days*?
Quiz
What physical optical device was built directly into the packaging of Tool's 2006 album *10,000 Days* to allow fans to view the artwork in 3D?
Quiz
What is the name of the scientific study of visible sound and vibration, which Tool uses to turn musical frequencies into geometric visual patterns?