Function reference

All functions

BASE_I BASE_J BASE_R BASE_L BASE_U BASE_B BASE_D BASE_P BASE_Q BASE_C BASE_LIST

Base patterns

draw_multiple_curves()

Draw multiple curves

draw_rules_2x2() draw_rules_3x3_peano() draw_rules_3x3_meander()

Draw the expansion rules

sfc_h() expand_h()

H-curve

H0 H1 H2

Seed sequences of the H-curve

hilbert_3d()

Three dimensional Hilbert curve

level1_unit_orientation(<sfc_3x3_peano>) change_level1_unit_orientation(<sfc_3x3_peano>) level1_unit_orientation(<sfc_3x3_meander>) change_level1_unit_orientation(<sfc_3x3_meander>)

Level-1 unit in the Peano curve and Meander curve

plot_segments()

Plot segments

SFC_RULES_2x2 SFC_RULES_3x3_PEANO SFC_RULES_3x3_MEANDER SFC_RULES_3x3_COMBINED SFC_RULES_4x4_MEANDER_1 SFC_RULES_4x4_MEANDER_2

Rules

sfc_3x3_combined() sfc_expand(<sfc_3x3_combined>) draw_rules_3x3_combined()

General 3x3 space-filling curves

sfc_4x4_meander() sfc_expand(<sfc_4x4_meander>) draw_rules_4x4_meander()

4x4 space-filling curves in meander type

sfc_apply(<sfc_nxn>)

Apply to every unit in the sfc_nxn curve

sfc_base()

Constructor of the sfc_base class

sfc_expand(<sfc_2x2>) sfc_expand(<sfc_3x3_peano>) sfc_expand(<sfc_3x3_meander>)

Expand the curve to the next level

sfc_expand_by_rules(<sfc_rules>,<sfc_nxn>) sfc_expand_by_rules(<sfc_rules>,<factor>) sfc_expand_by_rules(<sfc_rules>,<character>)

Expand a sequence

unit_orientation() sfc_flip_unit(<sfc_nxn>) sfc_flip_unit(<sfc_unit>)

Flip units

sfc_generator()

Generate a nxn curve based on expansion rules

sfc_grob(<sfc_base>) sfc_grob(<sfc_sequence>) plot(<sfc_sequence>) sfc_grob(<sfc_nxn>) plot(<sfc_nxn>) sfc_grob(<matrix>)

The graphics object

`[`(<sfc_nxn>) sfc_index(<sfc_nxn>)

Subunit in the curve

sfc_is_compatible(<sfc_sequence>,<sfc_sequence>) sfc_is_compatible(<sfc_sequence>,<sfc_rules>) sfc_is_compatible(<sfc_rules>,<sfc_sequence>)

Whether two sfc_sequence objects are compatible

sfc_level(<sfc_nxn>)

The level of the curve

sfc_mode(<sfc_nxn>) sfc_mode(<sfc_rules>)

The mode of the curve

sfc_previous_point(<sfc_base>) sfc_next_point(<sfc_base>)

The previous and the next point

sfc_reduce(<sfc_nxn>) sfc_reduce(<matrix>) add_base_structure()

Reduce a curve

sfc_rules()

Constructor of the sfc_rules class

sfc_segments(<sfc_nxn>) sfc_segments(<sfc_sequence>)

Coordinates of the points on the curve

sfc_sequence() sfc_seed() sfc_unit()

Constructor of the sfc_sequence class

sfc_shape(<sfc_2x2>) all_2x2_shapes() sfc_shape(<sfc_3x3_peano>) all_3x3_peano_shapes() sfc_shape(<sfc_3x3_meander>) all_3x3_meander_shapes()

Shape of the curve

sfc_rotate(<sfc_sequence>) `^`(<sfc_sequence>) sfc_hflip(<sfc_sequence>) sfc_vflip(<sfc_sequence>) sfc_dflip(<sfc_sequence>) sfc_reverse(<sfc_sequence>) rev(<sfc_sequence>)

Transformations of a sequence

sfc_universe(<sfc_rules>) sfc_universe(<sfc_sequence>)

The universe base pattern set

sfc_validate(<sfc_sequence>) sfc_validate(<character>)

Validate the sequence

show(<sfc_base>) show(<sfc_nxn>) show(<sfc_rules>) show(<sfc_sequence>)

Print the object

sfc_2x2() sfc_3x3_peano() sfc_3x3_meander()

Create space-filling curves

hilbert_curve() moore_curve() beta_omega_curve() peano_curve() meander_curve() h_curve()

Various curves in their standard forms

all_traverse_paths() get_one_traverse_path() plot_traverse_paths()

All traverse paths of a sequence

`[`(<sfc_sequence>) `[<-`(<sfc_sequence>) length(<sfc_sequence>) c(<sfc_sequence>)

Utility functions