Star-shaped object, a geometric body / a geometric object

Abstract

The star-shaped object is characterized by: 1. The star-shaped object is a geometric body (Figure 1). 2. The star consists of four interconnected, star-shaped lamellae (Figure 2). 3. Each lamella forms a hexagonal star (Figure 2). 4. Each point of the star has the shape of a triangular rhombus and contains an inner contour in the shape of a flower (Figure 3). 5. The inner edges of these flowers are connected by bridges, creating a hexagonal shape with a slight inward curve (Figure 4). 6. When the lamellae are joined, a cuboctahedron is formed in the core - an Archimedean solid with 8 equilateral triangles and 6 squares (Figure 5). 7. The 24 points of the star extend from the 12 vertices of the cuboctahedron, resulting in a balanced overall structure (Figure 1).

Description

[0001] Stars, as geometric bodies of conventional design, show the same appearance from every perspective. a) the star polygon, pyramids placed on top of each other or adjacent to one another b) the star cube, the intersection of two cubes c) the octahedral star, the intersection of two tetrahedra and d) related bodies formed by extending surfaces or by placing ‘tent’ on the side faces of simple bodies.

[0002] The internal structure is usually not visible and is limited to the “foundations” of the pyramids, i.e. polygons, cubes and tetrahedra.

[0003] These problems are solved with the features documented in claims 1 and 2, including by connecting 4 stars formed as 6-sided lamellae, which have an inner contour in the shape of a flower (Figures 2 and 3) (Figure 1).

[0004] By connecting the inner flower edges, a hexagon shape is created, and in the core a cuboctahedron (Figures 4 and 5).

[0005] The invention achieves, among other things, that the inner structure of the star is visible and, like the outer image, is different from every viewing angle (Figures 1, 6, 7, 8 and 9).

[0006] The variety of appearances of the star-shaped object is unlimited for the observer.

Claims

[1] The star-shaped object is characterized by :

1. The star-shaped object is a geometric body (Figure 1).

2. The star consists of four interconnected, star-shaped lamellae (Figure 2).

3. Each lamella forms a hexagonal star (Figure 2).

4. Each point of the star has the shape of a triangular rhombus and contains an inner contour in the shape of a flower (Figure 3).

5. The inner edges of these flowers are connected by bridges, creating a hexagonal shape with a slight inward curve (Figure 4).

6. When the lamellae are joined, a cuboctahedron is formed in the core - an Archimedean solid with 8 equilateral triangles and 6 squares (Figure 5).

7. The 24 points of the star extend from the 12 vertices of the cuboctahedron, resulting in a balanced overall structure (Figure 1). [2] The geometric shape of a star lamella (Figure 2) is part of the star-shaped object. The star lamella is characterized by :

1. The star-shaped object consists of four interconnected, star-shaped lamellae (Figure 2).

2. Each star lamella forms a hexagonal star (Figure 2).

3. Each point of the star has the shape of a triangular rhombus and contains an inner contour in the shape of a flower (Figure 3).

4. The inner edges of these flowers are connected by bridges, creating a hexagonal shape with a slight inward curve (Figure 4).

5. When the four star lamellae are connected to form the geometric object, a cuboctahedron is created in the core - an Archimedean solid with 8 equilateral triangles and 6 squares (Figure 5).

6. The 24 points of the star extend from the 12 vertices of the cuboctahedron, resulting in a balanced overall structure (Figure 1).

Images