---
name: "poly.x"
section: "1"
platform: "linux"
package: "palp"
version: "2.21-1"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/poly.x"
---

# poly.x(1)

computes data of a polytope

## NAME

poly.x, poly-\<num\>d.x - computes data of a polytope

## SYNOPSIS

**poly.x** \[*-\<Option-string\>*\] \[*in-file* \[*out-file*\]\]

## DESCRIPTION

Computes data of a polytope P

The poly-\<num\>d.x variant programs, where \<num\> is one of 4, 5, 6 and 11 work in different dimensions ; poly.x defaults to dimension 6.

### Options (concatenate any number of them into \<Option-string\>):

h  print this information

-

  f  use as filter

-

  g  general output ; for P reflexive: numbers of (dual) points/vertices, Hodge numbers and if P is not reflexive: numbers of points, vertices, equations

-

  p  points of P

-

  v  vertices of P

-

  e  equations of P/vertices of P-dual

-

  m  pairing matrix between vertices and equations

-

  d  points of P-dual (only if P reflexive)

-

  a  all of the above except h,f

-

  l  LG-\`Hodge numbers' from single weight input

-

  r  ignore non-reflexive input

-

  D  dual polytope as input (ref only)

-

  n  do not complete polytope or calculate Hodge numbers

-

  i  incidence information

-

  s  check for span property (only if P from CWS)

-

  I  check for IP property

-

  S  number of symmetries

-

  T  upper triangular form

-

  N  normal form

-

  t  traced normal form computation

-

  V  IP simplices among vertices of P\*

-

  P  IP simplices among points of P\* (with 1\<=codim\<=# when # is set)

-

  Z  lattice quotients for IP simplices

-

  \#  #=1,2,3  fibers spanned by IP simplices with codim\<=#

-

  \## ##=11,22,33,(12,23): all (fibered) fibers with specified codim(s) when combined: ### = (##)#

-

  A  affine normal form

-

  B  Barycenter and lattice volume \[# ... points at deg #\]

-

  F  print all facets

-

  G  Gorenstein: divisible by I\>1

-

  L  like 'l' with Hodge data for twisted sectors

-

  U  simplicial facets in N-lattice

-

  U1 Fano (simplicial and unimodular facets in N-lattice)

-

  U5 5d fano from reflexive 4d projections (M lattice)

-

  C1 conifold CY (unimodular or square 2-faces)

-

  C2 conifold FANO (divisible by 2 & basic 2 faces)

-

  E  symmetries related to Einstein-Kaehler Metrics

### Input

degrees and weights \`d1 w11 w12 ... d2 w21 w22 ...' or \`d np' or \`np d' (d=Dimension, np=#\[points\]) and (after newline) np\*d coordinates

### Output

as specified by options

## SEE ALSO

A complete manual is available here : http://arxiv.org/abs/1205.4147