A stack of identical polygons will make a prism.A stack of polygons which gradually become smaller will make a pyramidal frustum.
If the stack continues until the polygon becomes infinitesimally small, then they will make a pyramid.
Under the same conditions, discs will make a cylinder, conic frustum and cone, respectively.
The piling method can be constructed using either polygons or discs, but each shape has its unique properties and applications. When using polygons, the arrangement can create various tessellations, allowing for efficient space utilization and structural stability. Discs, on the other hand, may offer smoother transitions and are often used in applications requiring circular symmetry. Ultimately, the choice depends on the specific requirements of the project and the desired aesthetic or functional outcomes.
Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".
pyramid (not including the vertex) Prism
Using the piling method in geometry, discs can be stacked or arranged to create various structures, such as columns, towers, or even complex sculptures. This technique allows for the exploration of stability and balance, as well as the aesthetic appeal of circular forms. Additionally, the arrangement of discs can lead to innovative designs in architecture and art, showcasing the versatility of this geometric approach.
A polygon is pretty much any enclosed shape constructed of straight line segments connected end to end. The angles do not have to be right. In fact, they usually aren't. A right angle would NEVER be a polygon, as it is just one right angle. In Euclidean geometry a right angle must be accompanied by two acute angles to form a triangle--the polygon with the smallest number of sides.
a cone (not including the vertex) and a cylinder
The piling method can be constructed using either polygons or discs, but each shape has its unique properties and applications. When using polygons, the arrangement can create various tessellations, allowing for efficient space utilization and structural stability. Discs, on the other hand, may offer smoother transitions and are often used in applications requiring circular symmetry. Ultimately, the choice depends on the specific requirements of the project and the desired aesthetic or functional outcomes.
The constructed polygon name for a 24-sided regular polygon is an icosikaitetragon.
Using the piling method with discs alone, one can construct various geometric shapes and structures, such as cylinders, cones, and even complex 3D forms. This technique involves stacking the discs in a controlled manner to achieve the desired height and stability. Additionally, it allows for the exploration of balance and symmetry, making it a useful approach in both art and engineering applications. The versatility of discs makes them suitable for creating both functional and decorative items.
Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".
A diamond is indeed a polygon. It's a closed figure lying on a plane and constructed of straight lines.
This is called a frequency polygon.
More complicated polygons.
A Zamboni pile is an early electric battery constructed from discs of silver foil, zinc, foil and paper.
An equilateral triangle, a square and a hexagon.
A bell is a shape, but not a polygon. Polygons are constructed only from straight line segments, they do not contain curves (a circle is not a polygon either, unless you imagine it as being composed of infinitely many line segments, each of which is infinitely short).
Any 5 sided shape constructed from straight non overlapping lines. A 5 sided polygon.