{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|10-cubeDekeract |- |bgcolor=#ffffff align=center colspan=2|280pxOrthogonal projectioninside Petrie polygonOrange vertices are doubled, and central yellow one has four |- |bgcolor=#e7dcc3|Type||Regular 10-polytope
{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|10-cubeDekeract |- |bgcolor=#ffffff align=center colspan=2|280pxOrthogonal projectioninside Petrie polygonOrange vertices are doubled, and central yellow one has four |- |bgcolor=#e7dcc3|Type||Regular 10-polytope
|- |bgcolor=#e7dcc3|Family||hypercube |- |bgcolor=#e7dcc3|Schläfli symbol|| {4,38} |- |bgcolor=#e7dcc3|Coxeter-Dynkin diagram|| |- |bgcolor=#e7dcc3|9-faces||20 {4,37} 25px |- |bgcolor=#e7dcc3|8-faces||180 {4,36} 25px |- |bgcolor=#e7dcc3|7-faces||960 {4,35} 25px |- |bgcolor=#e7dcc3|6-faces||3360 {4,34} 25px |- |bgcolor=#e7dcc3|5-faces||8064 {4,33} 25px |- |bgcolor=#e7dcc3|4-faces||13440 {4,3,3} 25px |- |bgcolor=#e7dcc3|Cells||15360 {4,3} 25px |- |bgcolor=#e7dcc3|Faces||11520 squares 25px |- |bgcolor=#e7dcc3|Edges||5120 segments 25px |- |bgcolor=#e7dcc3|Vertices||1024 points 25px |- |bgcolor=#e7dcc3|Vertex figure||9-simplex 25px |- |bgcolor=#e7dcc3|Petrie polygon||icosagon |- |bgcolor=#e7dcc3|Coxeter group||C10, [38,4] |- |bgcolor=#e7dcc3|Dual||10-orthoplex 25px |- |bgcolor=#e7dcc3|Properties||convex, Hanner polytope |} In geometry, a 10-cube is a ten-dimensional hypercube. It has 1024 vertices, 5120 edges, 11520 square faces, 15360 cubic cells, 13440 tesseract 4-faces, 8064 5-cube 5-faces, 3360 6-cube 6-faces, 960 7-cube 7-faces, 180 8-cube 8-faces, and 20 9-cube 9-faces.
Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).