Where does “permutohedron” come from?
permutohedron (English) comes from English ‐o‐, from English -prim, from English trimethoprim, from English trimethoxy, from English methoxy, from English oxy-, from English oxygen, from French oxygène — to produce, to beget, to give birth.
permutohedron (English): A polytope with n-1 dimensions that is embedded in an n-dimensional space, its vertices formed by permuting the coordinates of the vector (1, 2, 3,..., n)
Definitions
- A polytope with n-1 dimensions that is embedded in an n-dimensional space, its vertices formed by permuting the coordinates of the vector (1, 2, 3,..., n)
Ancestry of “permutohedron”, step by step
permutohedron traces back through two separate lines of ancestry.
via English ‐o‐
| Step | Language | Word | Meaning |
|---|---|---|---|
| 1 | English | ‐o‐ | — |
| 2 | English | -prim | Used to form names of trimethoprim derivatives acting as |
| 3 | English | trimethoprim | A synthetic antibiotic used to treat malaria and... |
| 4 | English | trimethoxy | Three methoxy groups in a molecule |
| 5 | English | methoxy | The univalent radical CH-O- derived from methanol |
| 6 | English | oxy- | Sharp, keen, acute, pungent, acid; Concerning... |
| 7 | English | oxygen | The chemical element with an atomic number of 8... |
| 8 | French | oxygène | oxygen; inflection of oxygéner: ##... |
| 9 | Ancient Greek | γένος | offspring, descendant; family, clan; nation, race |
| 10 | Proto-Hellenic | génos | family; race |
| 11 | Proto-Indo-European | ǵénh₁os | race, lineage |
| 12 | Proto-Indo-European | ǵenh₁- | to produce, to beget, to give birth |
via English permute
| Step | Language | Word | Meaning |
|---|---|---|---|
| 1 | English | permute | change the order of; make a permutation of |