Dates: (August 17 ~ August 23)

Proposed: Final project polishing, retrospective cleanup, and post-review integration validation.

• Revised plan:

  • Settle the process/driver architecture question for the planar family with the mentors
  • Finish the Boost version proof of concept for both algorithms
  • Run a full verification pass over both algorithms and fix whatever it turns up
  • Open the final pull requests against pgrouting/develop

• Work Done:

  • Architecture question:
    • Asked on Discourse whether the process/driver pair is organised per family or per return type, since pgr_planarFaces returns IID_t_rt and allpairs_process already uses that type
    • @cvvergara answered that the return type is the organising unit: if an existing pair matches, use it; if none does, create one; and if two students independently need the same new type, both create their own and she consolidates later
    • Checked do_allpairs and found it dispatches with if (which == JOHNSON) {...} else {floydWarshall} rather than a switch, and routes everything through matrix_to_tuple, which cannot shape face-traversal output. betweennessCentrality and boyerMyrvold also return IID_t_rt and still have standalone drivers, so planar_process / planar_driver stays as it is
  • pgr_planarFaces #627:
    • Corrected pgr_isPlanar in planar-family.rst: it was listed under official-start although pgr_isPlanar.rst declares itself Experimental
    • Corrected the main sample-graph diagram. Edges 9 through 18 did not match the edges table: edge 9 was drawn as 1 -- 9 instead of 11 -- 16, edge 10 as 3 -- 12 instead of 7 -- 8, edge 18 as 8 -- 12 instead of 13 -- 14. All 18 edges now match sampledata, verified by diffing the diagram against a live query
    • Named the exact error raised on non-planar input, ERROR: Graph is not planar, confirmed by running a K5 through the function
    • Removed non-ASCII quotes, fixed a duplicated word, and tightened the description
  • pgr_coreNumbers #637:
    • Corrected the 2-core vertex list in the full-graph example. It described the 2-core as vertices 6 through 12 plus 15, 16 and 17, but that range wrongly includes vertex 9. Vertex 9 hangs off vertex 8 by edge 14 alone, so it is peeled first and is core 1. The 2-core is 6, 7, 8, 10, 11, 12, 15, 16, 17, confirmed against the docquery result file
    • Replaced three descriptive paragraphs with a bullet list
  • Boost version proof of concept #625 and #636:
    • Pinned boost_minor to [55, 56, 57] so that 1.55 fails and proves 1.56 is genuinely the floor, matching BOOST_MINIMUM_VERSION in CMakeLists.txt
    • Switched the download from SourceForge to archives.boost.io after finding that a SourceForge timeout in another PR was being read as a Boost incompatibility rather than an infrastructure failure
  • Full verification pass before opening the final PRs:
    • Both algorithms built clean against pgrouting/develop, not just against their own integration branches
    • pgTap: 94/94 for pgr_coreNumbers, 76/76 for pgr_planarFaces, each run ten times consecutively with zero backend crashes
    • docqueries passing, cpplint 0 findings, Sphinx html-en build succeeded with no warnings
    • Checked the results independently of the test suite: pgr_planarFaces satisfies the documented |V| - |E| + |F| = 2C (17 - 18 + 7 = 6 = 2 x 3 components) and pgr_coreNumbers satisfies core(v) <= degree(v) with zero violations
  • Final pull requests to pgrouting/develop:
    • Filed the function request issues pgrouting#3142 and pgrouting#3143
    • Opened pgrouting#3137 for pgr_coreNumbers: 25 files in 6 layer-scoped commits
    • Opened pgrouting#3138 for pgr_planarFaces: 28 files in 6 layer-scoped commits

• PR links: #625, #627, #636, #637, pgrouting#3137, pgrouting#3138

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Dates: (August 3 ~ August 9)

Proposed: Finalize merge-ready stabilization, rebasing, and review resolution.

• Revised plan:

  • Start the routine of diffing against pgrouting/develop and merging the changes in, as asked by the mentor
  • Apply the process/driver consolidation to pgr_planarFaces as well

• Work Done:

  • pgr_coreNumbers #620:
    • Started the habit requested by @cvvergara of running git diff --name-status against pgrouting/develop and catching the changes with a merge instead of waiting for them to come up in a meeting
    • Merged pgrouting/develop into the coreNumbers branch: 34 files, bringing in the breadthFirstSearch to traversal directory reorganisation, the BINARYBFS enumeration, the pgr_dijkstraVia std::bad_alloc fix and the driving distance negative value fix
    • The merge was clean; the CORENUMBERS entries in enums.h and utilities.cpp sit in different regions from the new BINARYBFS entries so nothing conflicted
    • Rebuilt and reran the suites after the merge: metrics 338 tests, coloring and components 652 tests, all passing
  • pgr_planarFaces #621:
    • Changed the return type from the custom PlanarFace_rt to the shared IID_t_rt, mapping face_id to from_vid, edge_id to to_vid and side to cost. side only ever takes the values 1 and 2, both exactly representable, so the SQL output is unchanged: side is still INTEGER with values 1 and 2
    • Added PLANARFACES to the enumeration and to get_name
    • Created planar_process.h, planar_driver.hpp, planar_process.cpp and planar_driver.cpp for the planar family, with a switch dispatch and a case PLANARFACES
    • Pointed planarFaces.c at pgr_process_planar and removed the now unused planarFaces_process.cpp, planarFaces_process.h, planarFaces_driver.cpp, planarFaces_driver.hpp and planarFaces_rt.h, then fixed CMakeLists.txt
    • Verified after the change that the output is identical, each edge still borders exactly two faces, both Euler checks still hold, the non-planar graph still raises the error and pgr_isPlanar agrees, and the 155 planar pgTap tests still pass

• PR links: #620, #621

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Dates: (July 27 ~ August 2)

Proposed: Perform large-scale validation and review-driven stabilization for both features.

• Revised plan:

  • Verify the face count against Euler's formula for pgr_planarFaces
  • Handle self loops in pgr_coreNumbers
  • Apply the process/driver consolidation shown by the mentor in the August 7 meeting

• Work Done:

  • pgr_planarFaces #614:
    • Added pgTap tests checking that the face count satisfies Euler's formula, V - E + F = 2 on a connected subgraph
    • While writing them found that test 4 was wrong: it said "Triangle has 6 rows (2 faces x 3 edges)" but edges 8, 10, 12 are 7-11, 7-8, 8-12, which is an open path and not a triangle, so it has 1 face and not 2. The row count of 6 was right for the wrong reason, so the description was corrected
    • Verified the numbers by hand on several subgraphs first: edges 8,10,12 give V=4 E=3 F=1; id < 10 gives V=9 E=9 F=2; the full graph gives V=17 E=18 F=7
    • The full graph works out to 6 and not 2 because it has 3 connected components (confirmed with pgr_connectedComponents); the traversal walks the outer face of each component separately, so the relation generalises to V - E + F = 2C
    • Added tests for both the connected and the disconnected case and documented the formula in the rst; edge_cases.pg went from 8 to 10 plans
  • pgr_coreNumbers #616:
    • Self loop fix: a vertex whose only edge was a self loop was returning core 2, because Boost counts a self loop as degree 2 on an undirected graph. That is wrong for k-core, since a k-core requires k actual neighbours in the subgraph
    • Added a filter that drops self loops before peeling, so a self-loop-only vertex now returns no result and a self loop next to a real edge no longer inflates the core number
    • Updated the pgTap test for that case and documented the corrected behaviour in pgr_coreNumbers.rst
    • Applied the consolidation demonstrated by @cvvergara in the August 7 meeting: switched coreNumbers.c to use coloring_process.h, added CORENUMBERS to the enumeration and to get_name, and joined the self loop removal, the insert_min_edges_no_parallel call and a case CORENUMBERS into coloring_driver.cpp
    • Removed the now unused coreNumbers_process.cpp, coreNumbers_process.h, coreNumbers_driver.cpp and coreNumbers_driver.hpp, then fixed CMakeLists.txt
    • Verified that none of the other functions sharing coloring_driver.cpp broke: makeConnected, connectedComponents, biconnectedComponents, strongComponents, sequentialVertexColoring, bipartite and edgeColoring all still return correct results

• PR links: #614, #616

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Dates: (July 20 ~ July 26)

Proposed: Complete documentation, validation, and integration cleanup for both algorithms.

• Revised plan:

  • Act on the Discourse answer about multigraph input semantics for pgr_coreNumbers
  • Sync both integration branches with upstream pgrouting/develop
  • Complete the git hygiene exercise assigned by the mentors on a separate branch

• Work Done:

  • pgr_coreNumbers #602:
    • Acted on the Discourse thread about parallel edges and self loops; @cvvergara pointed at insert_min_edges_no_parallel in base_graph.hpp, already used by pgr_prim, so used that instead of writing new code
    • Switched coreNumbers_driver.cpp from insert_edges() to insert_min_edges_no_parallel() so parallel edges collapse to a single minimum-cost edge before peeling starts
    • Two parallel edges between the same pair previously gave both vertices core 2 and three gave core 3; both now correctly give core 1, since edge multiplicity is not additional neighbours under k-core
    • Verified no regressions: K4 clique unchanged (all core 3), sampledata id < 10 unchanged, self loop plus edge unchanged
    • Extended edge_cases.pg from 25 to 26 plans: rewrote the two-parallel-edge test and added a three-parallel-edge test; documented the collapsing behaviour under Description in pgr_coreNumbers.rst
  • Develop sync #611:
    • Merged pgrouting/develop into both integration branches, bringing in the components refactor (62 files) which removes the individual *_driver.cpp files and moves component functions onto the shared process pattern
    • sakir-2026-face-extraction had conflicts only in the two generated locale files, none in source or docs; sakir-2026-core-decomposition merged clean with no conflicts
    • Rebuilt and reran the full pgTap suite on both branches after the merge: coreNumbers 92 tests and planar family 153 tests all passing
  • Git exercise #615:
    • Exercise assigned by the mentors to practice removing obsolete files and restoring pristine files from upstream, kept on a branch separate from feature work
    • Removed src/components/bridges_driver.cpp and include/drivers/components/makeConnected_driver.h with git rm, one commit per file
    • Restored src/components/bridges.c from pgrouting/develop using git checkout <remote>/<branch> -- <file>
    • All three files are leftovers from the components refactor, so once the integration branch had develop merged in, the branch converged to a 0-diff PR
  • Still in progress (planned for Week 10):
    • Self loop handling for pgr_coreNumbers; a vertex with only a self loop currently returns core 2 because boost counts it as degree 2, which is wrong for k-core
    • Regenerate locale/pot/pgrouting_doc_strings.pot with the new coreNumbers doc strings

• PR links: #602, #611, #615

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Dates: (July 13 ~ July 19) wasn't able to work on 15july and 18th july because of exams happening in my university

Proposed: Stabilize pgr_coreNumbers() implementation with pgTap validation, benchmarks, and CI compatibility fixes.

• Revised plan:

  • Rework the pgr_planarFaces return type after mentor review on seq and the side field
  • Expand pgr_coreNumbers documentation with a complete graph example
  • Add pgTap coverage for higher cores, multigraph input and result ordering

• Work Done:

  • pgr_planarFaces #600:
    • Removed seq from planarFaces_rt.h and fixed the consequences across all four layers
    • Changed side from char to int so the function returns 1 and 2 instead of 'l' and 'r'
    • Updated FaceVisitor to assign side as an int visit count, and fixed seq numbering in the C SRF layer
    • Updated edge_cases.pg to expect the int values, and regenerated the documentation queries
    • Documented side as INTEGER with values 1 and 2 in the rst
  • pgr_coreNumbers #601:
    • Fixed the edge labels in the coreNumbers diagram and clarified the core column description
    • Added a K4 complete graph example showing core 3, in both pgr_coreNumbers.rst and the docqueries
    • Added pgTap tests covering higher cores, multigraph input and result ordering
  • Still in progress (planned for Week 9):
    • Act on the Discourse answer about multigraph semantics
    • Sync both integration branches with upstream develop

• PR links: #600, #601

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Dates: (July 6 ~ July 12) wasn't able to work from 7th till 10th july because of monsoon crisis in assam, thus there was powercut for 3days

Proposed: Integrate PostgreSQL wrappers and SQL result pipeline for pgr_coreNumbers().

• Revised plan:

  • Create the planar family documentation page and wire it into the experimental index
  • Set up release note infrastructure for both functions
  • Expand pgTap coverage toward the official promotion bar

• Work Done:

  • pgr_planarFaces #595:
    • Created planar-family.rst with official-start and experimental-start sections listing pgr_isPlanar and pgr_planarFaces
    • Wired it into experimental.rst using include directives, replacing the direct doc links
    • Extended edge_cases.pg from 6 to 8 plans with two new edge case tests
    • Updated NEWS.md, page_history.js and release_notes.rst with include directives for automated release note generation
  • pgr_coreNumbers #596:
    • Fixed the Availability block formatting in pgr_coreNumbers.rst using the same .. rubric:: pattern
    • Updated NEWS.md, page_history.js and release_notes.rst with include directives
    • Extended edge_cases.pg from 9 to 13 plans, adding subgraph boundary coverage for id < 3 (3-node chain) and id < 8 (8-edge subgraph)
    • Extended no_crash_test.pg from 5 to 8 plans, adding null_ret / null_ret_arr prepared statements and a throw_on_empty_edges_sql test for the empty SQL error path
    • Added COST and ROWS planner hints to the _pgr_coreNumbers SQL wrapper
    • Fixed the sort comparator in coreNumbers.cpp to take II_t_rt by const reference instead of by value
    • All CI checks passing
  • Still in progress (planned for Week 8):
    • Rework the pgr_planarFaces return type after mentor review on seq and side
    • Complete graph example for pgr_coreNumbers documentation

• PR links: #595, #596

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Dates: (June 29 ~ July 5)

Proposed: Expand user-facing documentation and documentation queries for both functions to the depth of the existing pgRouting function pages.

• Revised plan:

  • Bring both rst pages up to the depth of the Dijkstra pages: prose, diagrams and numbered examples
  • Extend the docqueries for both functions and regenerate the expected results
  • Untangle the cross-module dependencies that were breaking CI between the planar and metrics branches

• Work Done:

  • pgr_planarFaces #591 and pgr_coreNumbers #590:
    • Expanded both documentation pages to Dijkstra-style depth: prose, graphviz diagrams and numbered examples with explanations
    • Extended the docqueries for both functions and updated the expected .result files
    • Fixed CI failures by removing the cross-module docquery and rst dependencies between the planar and metrics mentor branches, which were making each branch fail on the other's files

• PR links: #590, #591

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Dates: (June 22 ~ June 28)

Proposed: Complete pgr_coreNumbers documentation and testing; polish pgr_planarFaces documentation.

• Revised plan:

  • Create Week 5 branches and PRs following the weekly workflow
  • Finish remaining pgr_coreNumbers pgtap tests (inner_query.pg, edge_cases.pg)
  • Complete pgr_coreNumbers.rst (academic prose, Batagelj & Zaversnik citation)
  • Refine pgr_planarFaces.rst explanation and description wording

• Work Done:

  • pgr_planarFaces #578:
    • Refined the Explanation section: clarified success on planar input, noted the unbounded exterior face, and described counterclockwise traversal for side = 'l' / 'r'
    • Corrected row-count wording in the Description section (2|E| rows when the graph has |E| edges)
    • No new algorithm or test changes; existing docqueries and pgtap tests from Week 3-4 remain passing
  • pgr_coreNumbers #579:
    • Expanded pgr_coreNumbers.rst: added k-core definition, algorithm context, Batagelj & Zaversnik citation, and Boost Graph Inside marker
    • Fixed Availability section formatting to match pgRouting RST conventions
    • Added inner_query.pg pgtap test using the standard style_dijkstra pattern (54 inner-query style checks)
    • Added edge_cases.pg pgtap test covering subgraphs (id < 2, id < 4, id < 5, id < 10) and empty-graph input
    • Updated See Also links (pgr_betweennessCentrality, metrics-family)
    • All CI checks passing
  • Still in progress (planned for Week 6):
    • Add pipeline example linking pgr_coreNumbers with pgr_planarFaces in documentation
    • Additional Examples section for pgr_coreNumbers (subgraph and edge-case docqueries)
    • Cross-link pgr_isPlanar in pgr_planarFaces See Also section

• PR links: #578, #579

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Dates: (June 15 ~ June 21)

Proposed: Stabilize pgr_planarFaces() integration and complete validation/testing workflow.

• Revised plan:

  • Create Week 4 branches and PRs following the weekly workflow
  • Polish pgr_planarFaces documentation and docqueries
  • Implement pgr_coreNumbers algorithm (Batagelj–Zaversnik) and switch to II_t_rt
  • Add partial documentation, docqueries, and initial pgtap tests for pgr_coreNumbers

• Work Done:

  • pgr_planarFaces #577:
    • Enhanced pgr_planarFaces.rst with clearer face description, guidance to run pgr_isPlanar first, and an Explanation section
    • Added Additional Examples: planarity check before face extraction, and triangle graph example (2 faces, 6 rows)
    • Extended docquery files (planarFaces.pg and planarFaces.result) with q2 (isPlanar check) and q3 (triangle example); docquery tests pass
  • pgr_coreNumbers #576:
    • Switched return type from custom CoreNumbers_rt to shared II_t_rt (d1 -> node, d2 -> core; seq generated in C SRF layer)
    • Removed include/c_types/coreNumbers_rt.h and updated process, driver, and algorithm layers
    • Implemented k-core decomposition manually using Batagelj–Zaversnik algorithm (Boost used only for graph construction)
    • Addressed mentor review: renamed deg -> degree, extracted bin_sort_vertices() helper, used std::max_element() for max-degree lookup
    • Added partial RST documentation (pgr_coreNumbers.rst) and registered in doc/metrics/CMakeLists.txt and metrics-family.rst
    • Created docquery files (coreNumbers.pg and coreNumbers.result) with correct BEGIN/ROLLBACK wrapper format
    • Added initial pgtap tests: types_check.pg and no_crash_test.pg (both passing)
    • All CI checks passing
  • Still in progress (planned for Week 5):
    • Complete pgr_coreNumbers.rst (academic prose, Batagelj & Zaversnik citation, pipeline example with pgr_planarFaces)
    • Remaining pgtap tests (inner_query.pg, edge_cases.pg)

• PR links: #576, #577

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Dates: (June 8 ~ June 14)

Proposed: Begin PostgreSQL integration for pgr_planarFaces() with minimal wrapper and result pipeline support.

• Revised plan:

  • Restructure pgr_planarFaces to 3-layer process/driver architecture
  • Add documentation and docqueries for pgr_planarFaces
  • Fix pgr_coreNumbers SQL and copyright issues

• Work Done:

  • pgr_planarFaces #568:
    • Restructured algorithm to 3-layer process/driver architecture matching dijkstra, astar, spanningTree, coloring, and ordering modules
    • Created algorithm-specific planarFaces_process.cpp and planarFaces_driver.cpp for SPI connection, timing, error reporting, edge fetching, and graph construction
    • Updated planarFaces.c to call pgr_process_planarFaces() instead of directly calling the driver
    • Created RST documentation (pgr_planarFaces.rst) and added to experimental toctree
    • Created docquery files (planarFaces.pg and planarFaces.result) with correct BEGIN/ROLLBACK wrapper format
    • Fixed cpplint errors (include ordering, missing <utility> header)
    • Refactored from shared planar_process/planar_driver to algorithm-specific files to avoid return type conflicts (PlanarFace_rt vs II_t_rt) with other planar algorithms
    • All CI checks passing- build, pgtap tests, docqueries, and cpplint
  • pgr_coreNumbers #567:
    • Fixed _coreNumbers.sql LANGUAGE property from IMMUTABLE to VOLATILE to match betweennessCentrality pattern
    • Corrected copyright years in coreNumbers.hpp and coreNumbers.cpp
    • All CI checks passing

• PR links: #567, #568

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Dates: (June 1 ~ June 7)

Proposed: Implement core planar face traversal logic and face recording workflow in isolated C++ prototypes.

• Revised plan:

  • Implement pgr_planarFaces algorithm and add pgtap tests
  • Move pgr_coreNumbers files to metrics/ module and fix naming conventions

• Work Done:

  • Attended Monday meeting where mentor Vicky reviewed Week 1 PRs and gave feedback on file structure and naming conventions
  • pgr_planarFaces (PR #563):
    • Implemented face traversal algorithm using Boost's boyer_myrvold_planarity_test and planar_face_traversal with a custom FaceVisitor that records seq, face_id, edge_id, side
    • Rewrote driver and C SRF entry to follow the planar module pattern (matching isPlanar / boyerMyrvold)
    • Removed old planarFaces_process.cpp and planarFaces_driver.hpp — replaced with new driver pattern
    • Fixed file naming convention - removed incorrect pgr_ prefix from filenames to match planar directory
    • Added 4 pgtap test files (69 tests total): edge_cases.pg (6), types_check.pg (4), no_crash_test.pg (5), inner_query.pg (54)
    • Verified algorithm output against real PostgreSQL database - all 69 tests pass locally and in CI
  • pgr_coreNumbers (PR #564):
    • Relocated all coreNumbers files from standalone coreNumbers/ directory into metrics/ module (alongside betweennessCentrality and bandwidth)
    • Renamed files to follow metrics naming convention - removed pgr_ prefix, renamed _process.h → _driver.h, _driver.hpp → .hpp
    • Updated build configs: src/metrics/CMakeLists.txt, sql/metrics/CMakeLists.txt, configuration.conf, code_checker.sh
    • Fixed driver header, SQL files, and C SRF entry to follow betweennessCentrality pattern

• PR links: #563, #564

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Dates: (May 25 ~ May 31)

Proposed: Study existing pgr_isPlanar() infrastructure and integrate Boyer–Myrvold embedding generation with reusable embedding storage for pgr_planarFaces().

• Revised plam:

  • Create skeleton file struture for pgr_planarFaces
  • Create skeleton file structure for pgr_coreNumbers
  • Follow the process-driver pattern shown by mentor

• Work Done:

  • Had a Monday meeting where my mentor Vicky showed how to create skeleton files using Dijkstra as example (PR #548, PR #549)
  • Had exams so couldnt work till Thursday
  • Made first attempt at pgr_planarFaces skeleton (PR #551) but most CI checks were failing and the commit history got too messy so I closed it and started fresh
  • Rebuilt both skeletons from scratch:
    • SQL layer: internal C stub + public wrapper
    • C layer: PostgreSQL SRF entry point
    • C++ layer: process layer + driver stub
    • Build system: CMakeLists, configuration.conf, sig file
  • PR #556 for pgr_planarFaces, all CI checks passing
  • PR #555 for pgr_coreNumbers, had one issue where the sig file entries were in the wrong position (recieved query check failure), fixed the sort order and all checks passed after that

• PR links: #555, #556

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Goal: arrive at Week 1 with , proposal reviewed by mentors, study implementation of algorithms, and a clear understanding of pgRouting architecture.

Proposed: Study pgRouting architecture and refine implementation strategy after deeper analysis of planar traversal and k-core decomposition workflows.

Plan for the week:

• Research outer-face traversal handling and visitor traversal order
• Investigate standalone implementation strategy for pgr_coreNumbers()
• Study pgRouting SQL → C wrapper → C++ driver → Boost integration pipeline
• Research Batagelj–Zaversnik k-core decomposition workflow

Report:

• Bonding period meeting
• Prepared Wiki (copied from proposal)
• Revised proposal timeline and implementation strategy
• Research about planar_face_traversal visitor workflow and outer-face handling
• Investigated standalone pgr_coreNumbers() implementation feasibility
• Studied pgRouting execution pipeline and Boost graph integration workflow
• Researched Batagelj–Zaversnik degree-peeling decomposition process

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Proposed: Study planar face traversal behavior using Graphviz examples and Boost documentation.

Plan for the week:

• Study boyer_myrvold_planarity_test embedding generation
• Experiment with Graphviz planar graph examples
• Research planar_face_traversal visitor workflow
• Study pgRouting SQL → C wrapper → C++ driver → Boost pipeline
• Revise implementation approach after architecture study

Report:

• Studied Graphviz planar traversal examples
• Researched planar_face_traversal workflow and visitor behavior
• Investigated outer-face traversal handling using Boost documentation and Graphviz experiments
• Studied pgRouting execution pipeline (SQL → C wrapper → C++ driver → Boost)
• Restructured proposal after deeper architecture study
• Planned standalone pgr_coreNumbers() implementation approach
• Researched core-number computation workflow and graph abstraction integration
• Explored Boost Graph Library references related to k-core decomposition
• Created discussion notes/questions regarding traversal behavior and implementation details

Plan for the week:

• Bonding period meeting with mentors
• Prepare GSoC wiki structure from proposal
• Revise proposal after deeper algorithm research
• Research outer-face handling during planar traversal
• Study third algorithm/stretch-goal feasibility as homework

Report:

• Bonding period meeting completed
• GSoC wiki prepared from proposal
• Proposal revision and implementation planning started
• Outer-face traversal behavior researched
• Third algorithm/stretch-goal research in progress

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