Artist‘s official website
https://tgryshchenko.com/
@tetiana_gryshchenko_art
Artist’s Essays
Development is inevitable
Artist‘s official website
https://tgryshchenko.com/
@tetiana_gryshchenko_art
Artist’s Essays
Development is inevitable
The Dot
The Dot as the origin of geometric form. A concise reference on its meaning, structure, and role in geometry and creative practice. Introduction.△ Triangle
The triangle as the first two-dimensional form. A concise reference on its geometry, symbolic meanings, and role in creative practice.△ From the circle to the triangle — and back again
A concise reference exploring the relationship between the circle and the triangle through geometry, symbolism, and ornamental structures.△ Between Two-Dimensionality and Three-Dimensionality
Fractals, Void, and the Transition of Form into Volume.
△ From Space to Time
Flawless Engineering: The Hidden Connection Between the Triangle and the Golden Spiral.
▢ Square
The Square as the Second Two-Dimensional Form. The path of a form from geometric birth to spatial emergence and acquiring the capacity to bring forth new structures.•
△ Triangle
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△ Triangle
The triangle as the first two-dimensional form. A concise reference on its geometry, symbolic meanings, and role in creative practice.
Triangle — The First Shape
The triangle is the first polygon — the first two-dimensional shape. Two points connected by a line create only one dimension. But once we connect three points, we gain both height and width — and with that, we enter the world of shapes. My focus is mainly on regular forms, as they serve as the foundation for unfolding patterns and ornamental systems. Sacred geometry, in turn, explains why these forms are considered the building blocks of the universe. I’ll return to this idea often as the blog unfolds.
Facts About the Regular Triangle:
- A regular triangle has all interior angles equal to 60°
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The sum of interior angles in any triangle (regular or not) is always 180°
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The exterior angles of a regular triangle are 120°
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For any polygon, the sum of exterior angles is always 360°
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The regular triangle can tile space on its own (think of triangular mosaics). Only three regular shapes can do this: the triangle, square, and hexagon
- Three of the five Platonic solids are made entirely of regular triangles: the Tetrahedron, Octahedron, and Icosahedron — more on these soon
Common symbolic associations across traditions:
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A triangle in its static position (base down) symbolizes fire, stability, and the masculine principle
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In its dynamic position (pointing down), it represents water and the feminine nature
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With its three sides and three angles, the triangle often stands for trinity — sky-earth-human, body-soul-spirit, past-present-future, or the Holy Trinity
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In alchemy, an upright triangle represents fire (and air when crossed with a line), while the downward triangle symbolizes water (and earth when crossed) — I’ll explore this more in a future post
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The triangle in a circle is the alpha and omega of regular geometric forms — why, will become clear in the article about the Circle
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The triangle with an eye is the Christian symbol of God’s omniscience
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The Radiant Delta, or triangle with a shining eye, is a Masonic symbol representing the Great Architect of the Universe
- I’ll also write separately about the Triquetra (three-lobed knot), another triangle-based symbol
How to construct a regular triangle using a compass, and straightedge in the video bellow:
The video below shows how to construct a triangular grid. But it's worth noting that beyond ornamental design — a topic I'll return to often — the triangular grid appears in architecture, 3D modelling, and even geodesy: wherever structural rigidity or even distribution matters.
How to build a triangular grid:
How to build a triangular grid: