"Hypercube" Example Sentences
1. The four-dimensional hypercube is a fascinating geometrical shape.
2. The hypercube is a regular polytope in four dimensions.
3. The vertices of a hypercube are equally spaced from each other.
4. A hypercube has 8 cubical cells, each of which is itself a three-dimensional cube.
5. The hypercube has 16 vertices, 32 edges, 24 square faces, and 8 cube cells.
6. In higher dimensions, a hypercube becomes increasingly complex and difficult to visualize.
7. The tesseract is another name for the four-dimensional hypercube.
8. Mathematicians use hypercubes to study the properties of higher-dimensional objects.
9. One way to construct a hypercube is to repeatedly take the Cartesian product of a line segment with itself.
10. A hypercube can be thought of as a cube that has been extruded into the fourth dimension.
11. Hypercubes exhibit many counterintuitive properties not found in lower-dimensional spaces.
12. The hypercube is one of the simplest examples of a regular polytope in higher dimensions.
13. A hypercube has more symmetry than a three-dimensional cube.
14. The four-dimensional hypercube is the boundary of the five-dimensional hypercube.
15. Hypercubes have many applications in fields such as computer science, physics, and engineering.
16. The hypercube is just one of many fascinating shapes in higher-dimensional geometry.
17. Each edge of a hypercube has length sqrt(2).
18. The dual of a hypercube is another hypercube.
19. A hypercube can be inscribed in a sphere of radius 1.
20. Hypercubes have been studied and admired by mathematicians for centuries.
21. Every face of a hypercube is a regular square.
22. In four dimensions, a hypercube can be rotated into 16 different positions.
23. A hypercube has twice as many faces as a cube does.
24. The hypercube can be viewed as a tessellation of four-dimensional space.
25. In five dimensions, a hypercube is also known as a penteract.
26. A hypercube is a convex polytope, meaning that it has no dents or protrusions.
27. The hypercube is one of the simplest examples of a higher-dimensional graph.
28. A hypercube can be represented as a graph with 16 vertices and 32 edges.
29. The hypercube has many interesting symmetries and rotational properties.
30. The study of hypercubes has led to new insights into the nature of higher-dimensional space.
Common Phases
1. A
hypercube is a multi-dimensional shape;
2. The
hypercube is a popular concept in geometry;
3. The
hypercube is often referred to as a tesseract;
4. The
hypercube has eight vertices, 24 edges, and 24 faces;
5.
Hypercubes are used in mathematics and physics to represent complex systems;
6. The study of
hypercubes is an important aspect of topology;
7.
Hypercubes are used in computer science for parallel processing;
8.
Hypercubes have been used to explain the concept of string theory;
9. A
hypercube is an example of a regular polytope;
10.
Hypercubes have interesting properties, such as the ability to rotate into themselves.