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ARC-AGI-2 is a very interesting benchmark which mixes some symbolic and other visual elements, and is readily solvable by non-expert humans, but has so far resisted transformers to a large degree.

Part of me would like to focus more on less visual aspects of AI, but it is still of interest.

It is funny how many early (semi)-retired fintech/bigtech bros that are interested in the project, I saw several of them on the forums.

I'd be tempted if I were in that position too I must confess. Maybe in 15 years time for me the way things are looking.

Kudos to these people who do something cool and open when they don't need money: www.reddit.com/r/Fire/comments/15x4w7r/comment/jx7dn16/ It is also the case of Jimmy Wales from Wikipedia for example, who used to work in finance.

Announcements:

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Laser Kiwi flag by

Ciro Santilli 37 2025-10-14

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New Zealand flag debate by

Ciro Santilli 37 2025-10-14

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New Zealand Flag Debate by

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New Zealand by

Ciro Santilli 37 2025-10-14

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Video 1.

Why New Zealand Fired its Official Wizard by Qxir

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aviad12g/ARC-AGI-solution by

Ciro Santilli 37 2025-10-14

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github.com/aviad12g/ARC-AGI-solution

Interesting looking repo with optional GPU and optional LLM.

It seems to have been tested on something older than Ubuntu 24.04, as 24.04 install requires some porting, started process at: github.com/cirosantilli/ARC-AGI-solution/tree/ubuntu-24-04 but gave up to try Ubuntu 22.04 instead.

Ubuntu 22.04 Docker install worked without patches, after installing Poetry e.g. to try and solve 1ae2feb7:

git clone https://github.com/aviad12g/ARC-AGI-solution
cd ARC-AGI-solution
git checkout f3283f727488ad98fe575ea6a5ac981e4a188e49
poetry install
git clone https://github.com/arcprize/ARC-AGI-2
`poetry env activate`
export PYTHONPATH="$PWD/src:$PYTHONPATH"
python3 -m arc_solver.cli.main solve ARC-AGI-2/data/evaluation/1ae2feb7.json

but towards the end we have:

{
  "success": false,
  "error": "Search failed: no_multi_example_solution",
  "search_stats": {
    "nodes_expanded": 21,
    "nodes_generated": 903,
    "termination_reason": "no_multi_example_solution",
    "candidates_generated": 25,
    "examples_validated": 3,
    "validation_success_rate": 0.0,
    "multi_example_used": true
  },
  "predictions": [
    null,
    null,
    null
  ],
  "computation_time": 30.234344280001096,
  "task_id": "1ae2feb7",
  "task_file": "ARC-AGI-2/data/evaluation/1ae2feb7.json",
  "solver_version": "0.1.0",
  "total_time": 30.24239572100123,
  "timestamp": 1760353369.9701269
}

Task: 1ae2feb7.json
Success: False
Error: Search failed: no_multi_example_solution
Multi-example validation: ENABLED
Training examples validated: 3
Candidates generated: 25
Validation success rate: 0.0%
Computation time: 30.23s
Total time: 30.24s

so it failed.

Let's see if any of them work at all as advertised:

ls ARC-AGI-2/data/evaluation/ | xargs -I'{}' python3 -m arc_solver.cli.main solve 'ARC-AGI-2/data/evaluation/{}' |& tee tmp.txt

and at the end:

grep 'Success: True' tmp.txt | wc

has only 7 successes.

Also weirdly

grep 'Success: True' tmp.txt | wc

only has 102 hits, but there were 120 JSON tasks in that folder. I search for the missing executions:

diff -u <(grep Task: tmp.txt | cut -d' ' -f2) <(ls ARC-AGI-2/data/evaluation)

The first missing one is 135a2760, it blows up with:

ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable

and grepping ERROR gives us:

ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type SizePredicate is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type ndarray is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type ndarray is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type VerticalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type VerticalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type ndarray is not JSON serializable
ERROR: Solve command failed: Object of type VerticalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type ndarray is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type HorizontalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type VerticalLinePredicate is not JSON serializable
ERROR: Solve command failed: Object of type VerticalLinePredicate is not JSON serializable

Reported at: github.com/aviad12g/ARC-AGI-solution/issues/1

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Project Euler problem 910 by

Ciro Santilli 37 Created 2025-10-14 Updated 2025-11-30

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projecteuler.net/problem=910

Numerical solution from github.com/lucky-bai/projecteuler-solutions/issues/102:

547480666

Programs:

euler/910.py

A(x) = x + 1
Z(u)(v) = v
S(u)(v)(w) = v(u(v)(w))

Let's resolve the second example ourselves:

S
  (S)
  (S(S))
  (S(Z))
(A)
(0)

S
(S)
(
  S
  (S(S))
  (S(Z))
)
(A)
(0)

S
(S(S))
(S(Z))
(
  S
  (
    S
    (S(S))
    (S(Z))
  )
  (A)
)
(0)

S
(Z)
(
  S(S)
  (S(Z))
  (
    S
    (
      S
      (S(S))
      (S(Z))
    )
    (A)
  )
)
(0)

S(S)
(S(Z))
(
  S
  (
    S
    (S(S))
    (S(Z))
  )
  (A)
)
(
  Z
  (
    S(S)
    (S(Z))
    (
      S
      (
        S
        (S(S))
        (S(Z))
      )
      (A)
    )
  )
  (0)
)

S
(S)
(S(Z))
(
  S
  (
    S
    (S(S))
    (S(Z))
  )
  (A)
)
(0)

TODO: how long would this be?

So we see that all of these rules resolve quite quickly and do not go into each other. S however offers some problems, in that:

C_0 = Z
C_i = S(C_{i-1})
D_i = C_i(S)(S)

So we see that D_i goes somewhat simply into C_i, and C_i is recursive giving:

S^i(Z)

Calculate the nine first digits of:

D_a(D_b)(D_c)(C_d)(A)(e)

Removing D_a:

S^i(Z)S)(S)(D_b)(D_c)(C_d)(A)(e)

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Project Euler problem 254 by

Ciro Santilli 37 2025-10-14

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projecteuler.net/problem=254

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Project Euler problem 1 by

Ciro Santilli 37 2025-10-14

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projecteuler.net/problem=1

Solution:

Solutions to the ProjectEuler+ version:

euler/1.py

The original can be found with:

printf '1\n1000\n' | euler/1.py

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Project Euler problem zero by

Ciro Santilli 37 Created 2025-10-14 Updated 2025-10-27

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This was a registration CAPTCHA problem as of 2025:

Among the first 510 thousand square numbers, what is the sum of all the odd squares?

Python solution:

s = 0
for i in range(1, 510001, 2):
    s += i*i
print(s)

At: euler/0.py

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Collatz cycle length lower bound by

Ciro Santilli 37 2025-10-14

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www.sciencedirect.com/science/article/pii/0012365X9390052U?via%3Dihub

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Collatz 1-cycle by

Ciro Santilli 37 2025-10-14

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ARC-AGI-3 by

Ciro Santilli 37 2025-10-14

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They are moving to 2D voxel games

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ARC-AGI-1 by

Ciro Santilli 37 2025-10-14

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Local CPU ARC-AGI without LLM by

Ciro Santilli 37 Created 2025-10-14 Updated 2025-10-27

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iliao2345.github.io/blog_posts/arc_agi_without_pretraining/arc_agi_without_pretraining.html

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 Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.

Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!

Video 1.

Intro to OurBigBook

. Source.

We have two killer features:

topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
Articles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1.
Screenshot of the "Derivative" topic page
. View it live at: ourbigbook.com/go/topic/derivative
Video 2.
OurBigBook Web topics demo
. Source.
local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
Figure 2.
You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
.
Figure 3.
Visual Studio Code extension installation
.
Figure 4.
Visual Studio Code extension tree navigation
.
Figure 5.
Web editor
. You can also edit articles on the Web editor without installing anything locally.
Video 3.
Edit locally and publish demo
. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
Video 4.
OurBigBook Visual Studio Code extension editing and navigation demo
. Source.
Internal cross file references done right:
Infinitely deep tables of contents:
Figure 6.
Dynamic article tree with infinitely deep table of contents
.
Live URL: ourbigbook.com/cirosantilli/chordate
Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade

All our software is open source and hosted at: github.com/ourbigbook/ourbigbook

Further documentation can be found at: docs.ourbigbook.com

Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact

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 Pinned article: Introduction to the OurBigBook Project