- ping: my ping is: {ping}
- tps: server tps: {server.tps}
- server: server info: N {server} | T {server.time} | P {server.player_count}
- triangle: A triangle is a polygon with three sides and three angles. It is the simplest polygon and forms the basis of many geometric constructions. Triangles can be classified by side length or angle size.
- square: A square is a four-sided polygon with equal sides and right angles. It is both a rectangle and a rhombus. Squares are common in tiling and symmetry studies.
- rectangle: A rectangle is a quadrilateral with four right angles. Opposite sides are equal and parallel. It is widely used in geometry and architecture.
- pentagon: A pentagon is a polygon with five sides. Regular pentagons have equal sides and angles and appear in many natural and artistic designs. They are closely linked to the golden ratio.
- hexagon: A hexagon is a six-sided polygon. Regular hexagons tile the plane perfectly without gaps. They commonly appear in crystals and honeycombs.
- heptagon: A heptagon is a seven-sided polygon. Regular heptagons cannot be constructed exactly with a compass and straightedge. They are relatively rare in practical design.
- octagon: An octagon is an eight-sided polygon. Regular octagons appear in stop signs and architecture. They combine near-circular shape with flat edges.
- enneagon: An enneagon is a polygon with nine sides. Regular enneagons have rotational symmetry of order nine. They are also called nonagons.
- decagon: A decagon is a ten-sided polygon. Regular decagons are closely related to pentagons and the golden ratio. They have ten equal angles and sides.
- dodecagon: A dodecagon is a polygon with twelve sides. Regular dodecagons tile the plane with triangles and squares. They are often used in tiling patterns.
- pentagram: A pentagram is a five-pointed star polygon formed from a regular pentagon. It has intersecting diagonals that create smaller pentagons inside. The shape is strongly associated with the golden ratio.
- hexagram: A hexagram is a six-pointed star formed by overlapping two equilateral triangles. It is not a single continuous star polygon but a compound figure. It has strong symmetry and cultural significance.
- heptagram: A heptagram is a seven-pointed star polygon. It can be constructed in multiple forms depending on how vertices are connected. Heptagrams have complex internal intersections.
- octagram: An octagram is an eight-pointed star polygon or compound star. It can be formed by overlapping squares or by step connections on an octagon. Octagrams often appear in decorative art.
- enneagram: An enneagram is a nine-pointed star polygon. It is typically drawn by connecting every second or fourth vertex of a nonagon. The shape has both geometric and symbolic interpretations.
- decagram: A decagram is a ten-pointed star polygon. It can be constructed in different step patterns producing distinct shapes. Decagrams are related to pentagrams through symmetry.
- hendecagram: An eleven-pointed star polygon formed by connecting vertices of a hendecagon at fixed intervals. These shapes are mostly studied in abstract geometry.
- dodecagram: A twelve-pointed star polygon or compound star. Some forms are made by overlapping hexagons or triangles. Dodecagrams have high rotational symmetry.
- hendecagon: A polygon with eleven sides. Regular hendecagons cannot be constructed exactly using classical tools. They are mainly studied in theoretical geometry.
- icosagon: A polygon with twenty sides. Regular icosagons closely approximate a circle. They appear in advanced tiling and symmetry studies.
- triacontagon: A polygon with thirty sides. It has very fine angular resolution when regular. It is often used as an approximation of circular shapes.
- tetradecagon: A polygon with fourteen sides. Regular tetradecagons combine properties of heptagons and symmetry doubling. They appear in decorative tilings.
- pentadecagon: A polygon with fifteen sides. Regular pentadecagons relate closely to triangles and pentagons. They are constructible with compass and straightedge.
- icosipentagon: A polygon with twenty-five sides. Regular forms are rarely used outside abstract geometry. They are mostly studied for symmetry properties.
- heptagram{7/2}: The {7/2} heptagram connects every second vertex of a heptagon. It forms a sharp, continuous seven-pointed star.
- heptagram{7/3}: The {7/3} heptagram connects every third vertex of a heptagon. It creates a denser internal structure than {7/2}.
- enneagram{9/2}: The {9/2} enneagram is formed by skipping one vertex on a nonagon. It creates a smooth nine-pointed star.
- enneagram{9/4}: The {9/4} enneagram skips three vertices per step. It produces a much denser star with multiple intersections.
- decagram{10/3}: The {10/3} decagram connects every third vertex of a decagon. It forms a sharp ten-pointed star.
- dodecagram{12/5}: The {12/5} dodecagram is a star polygon with deep intersections and strong rotational symmetry.