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Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2
BigObject LinesInCubic<Addition>
from application tropical
This represents the result of the method lines_in_cubic. It contains: The tropical polynomial representing the surface, the surface itself as a Cycle and lists of lines and families of different types, each starting with LIST_… The object also has methods, starting with array_… that return the corresponding LIST_… as a perl array. The different (lists of) lines can be visualized nicely with visualize_in_surface.
- Type Parameters:
Properties
Counts of lines
These count lines or families of lines in the cubic.# @category Defining properties
-
N_FAMILIES The total number of families in
LIST_FAMILY_FIXED_EDGE,LIST_FAMILY_FIXED_VERTEX,LIST_FAMILY_MOVING_EDGEandLIST_FAMILY_MOVING_VERTEX- Type:
- from extension:
-
N_ISOLATED The total number of elements in
LIST_ISOLATED_EDGEandLIST_ISOLATED_NO_EDGE- Type:
- from extension:
Defining properties
The polynomial and the corresponding cubic.
-
CUBIC The surface containing the lines
- Type:
Cycle<Addition>- from extension:
-
POLYNOMIAL The homogeneous tropical polynomial defining the surface
- Type:
Polynomial<TropicalNumber<Addition,Rational>,Int>- from extension:
Lists of lines
These contain lists of certain (families of) lines.
-
LIST_FAMILY_FIXED_EDGE - Type:
Cycle<Addition>- from extension:
- Methods of LIST_FAMILY_FIXED_EDGE:
-
representative Returns a representative of the family.
- from extension:
-
-
LIST_FAMILY_FIXED_VERTEX - Type:
Cycle<Addition>- from extension:
- Methods of LIST_FAMILY_FIXED_VERTEX:
-
representative Returns a representative of the family.
- from extension:
-
-
LIST_FAMILY_MOVING_EDGE - Type:
Cycle<Addition>- from extension:
- Methods of LIST_FAMILY_MOVING_EDGE:
-
representative Returns a representative of the family.
- from extension:
-
-
LIST_FAMILY_MOVING_VERTEX - Type:
Cycle<Addition>- from extension:
- Methods of LIST_FAMILY_MOVING_VERTEX:
-
representative Returns a representative of the family.
- from extension:
-
-
LIST_ISOLATED_EDGE - Type:
Cycle<Addition>- from extension:
-
LIST_ISOLATED_NO_EDGE - Type:
Cycle<Addition>- from extension:
Methods
Lists of lines
These contain lists of certain (families of) lines.
-
all_families() - Returns:
Cycle<Addition>- from extension:
-
all_isolated() - Returns:
Cycle<Addition>- from extension:
-
array_family_fixed_edge() - Returns:
Cycle<Addition>- from extension:
-
array_family_fixed_vertex() - Returns:
Cycle<Addition>- from extension:
-
array_family_moving_edge() - Returns:
Cycle<Addition>- from extension:
-
array_family_moving_vertex() - Returns:
Cycle<Addition>- from extension:
-
array_isolated_edge() - Returns:
Cycle<Addition>- from extension:
-
array_isolated_no_edge() - Returns:
Cycle<Addition>- from extension: