**4-hypercube** or **tesseract** [coordinates: (+-1,+-1,+-1,+-1)]
Take the **convex hull** in R^4 of remaining 15 points.
The figure we would get is shown here as the **net** (onto R^3) of the said 15 vertex hypersolid. The **hypersolid** is made of 8 cells, 4 ordinary cubes (in **blue**) and 4 cubes with a 3-right-angled tetrahedron missing at one vertex [**red**]
4 **red** solids are glued to the 4 faces of a **regular tetrahedron** at the center of the figure. Total **9 cells** (fixed)
Take the **convex hull** in R^4 of remaining 15 points.
The figure we would get is shown here as the **net** (onto R^3) of the said 15 vertex hypersolid. The **hypersolid** is made of 8 cells, 4 ordinary cubes (in **blue**) and 4 cubes with a 3-right-angled tetrahedron missing at one vertex [**red**]
4 **red** solids are glued to the 4 faces of a **regular tetrahedron** at the center of the figure. Total **9 cells** (fixed)