Alexandre Muñiz

Mastodon @two_star@mathstodon.xyz

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Followers

171

Account age

4 yrs

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Known for

The ⅓-weight pentominoes, overlapping in a weight 1 tiling of a 4×5 rectangle. I'm not sure how (short of an animated gif) to make the pentominoes more legible here, and if your color vision isn't great, I'm awfully sorry.
#TilingTuesday

20 views The ⅓-weight pentominoes, overlapping in a weight 1 tiling of a 4×5 rectangle. I'm not sure how (short of an animated gif) to make the pentominoes more legible here, and if your color vision isn't great, I'm awfully sorry. #TilingTuesday

Happy Rectangular February for all who celebrate! The 2⊕3⊕4■ pieces tile a 4×7 rectangle in 1522 ways. The L3+◣ pieces have an area of 28, but they only tile unsatisfying Februaries!
#TilingTuesday

12 views Happy Rectangular February for all who celebrate! The 2⊕3⊕4■ pieces tile a 4×7 rectangle in 1522 ways. The L3+◣ pieces have an area of 28, but they only tile unsatisfying Februaries! #TilingTuesday $Using a ½-weight triangle as our base cell, we get 12 ways to combine 5 of them into polyiamonds where cells can have weight ½ or 1. (More compactly, my notation for this set is 5·½▲. The blog post where I explain how fractions work is in progress.) I'm using a sort of pinwheel dissection of triangles to show overlapping ½-weight cells belonging to different pieces. The solid triangles represent$ 11 views Using a ½-weight triangle as our base cell, we get 12 ways to combine 5 of them into polyiamonds where cells can have weight ½ or 1. (More compactly, my notation for this set is 5·½▲. The blog post where I explain how fractions work is in progress.) I'm using a sort of pinwheel dissection of triangles to show overlapping ½-weight cells belonging to different pieces. The solid triangles represent

There are 12 3·½ ◣, (tri-half-weight-tans) if we allow partial half-tan overlaps. They can tile a full-weight 3×3 square as shown. (Checkering tiny tans was the least bad option I could find to represent a half-weight tan, but I don't exactly love it.)
There are two pairs of pieces that have the same shape, which is a good incentive to find problems where the internal divisions in the pieces matte

9 views There are 12 3·½ ◣, (tri-half-weight-tans) if we allow partial half-tan overlaps. They can tile a full-weight 3×3 square as shown. (Checkering tiny tans was the least bad option I could find to represent a half-weight tan, but I don't exactly love it.) There are two pairs of pieces that have the same shape, which is a good incentive to find problems where the internal divisions in the pieces matte

📊 Post engagement

Avg engagement / post

4.7%

Engagement vs followers

Feb 2022

On Mastodon since

🔥 Top post: The ⅓-weight pentominoes, overlapping in a weight 1 tiling of a · 20 likes + reposts

📊 Activity & format

Posting cadence

0.43 / week

A lower-frequency account — each post lands with more weight.

Content mix

Mostly images

Recent: 3 text · 8 image · 1 video.

Follower / following

1.2×

Follows 144 back. A more reciprocal / networked account.

Recent posts

View on Mastodon ↗

🔥 Top post The ⅓-weight pentominoes, overlapping in a weight 1 tiling of a 4×5 rectangle. I'm not sure how (short of an animated gif) to make the pentominoes more legible here, and if your color vision isn't great, I'm awfully sorry. #TilingTuesday ★ 20

Here's what the pieces look like individually. We could choose to exclude the pieces on the bottom row, and we also get different variants if we restrict tan placements to tetrakis grids, so there's enough material for a whole blog post in…

There are 12 3·½ ◣, (tri-half-weight-tans) if we allow partial half-tan overlaps. They can tile a full-weight 3×3 square as shown. (Checkering tiny tans was the least bad option I could find to represent a half-weight tan, but I don't exac… ★ 9 Not a real problem I actually have, but: Unicode combining characters usually work additively; they add an extra splotch of ink to another character. Would there be any problem if you had one that worked subtractively, and removed ink? (Or… Blog post on notation for fractional weights in polyform sets: https://puzzlezapper.com/blog/2026/07/notation-notions-actions-on-fractions/ Also, since my posts on my notation system will make more sense if you start from the beginning and… ★ 2

▶ ⅓·5■ ⇒ 4×5 again, in a spiffy gif. (If I use my notation without explanation, I'm hoping that people will figure that it's standard and they're expected to understand it.) ★ 6

Using a ½-weight triangle as our base cell, we get 12 ways to combine 5 of them into polyiamonds where cells can have weight ½ or 1. (More compactly, my notation for this set is 5·½▲. The blog post where I explain how fractions work is in … ★ 11

The usual way we define polytans is to require them to join tans full edge to full edge. We could instead allow them to join hypotenuse to leg with the requirement that a vertex is shared between the two edges. This gives us 31 tritans, in… I was in the Lewis & Clark library lately, because a friend had talked up the exhibit of old illuminated manuscripts they had going. But my other reason is that I have a library card, which is one of the two privileges I get from putting a… ★ 2

Barry Cipra's talk at G4G16 was about "Pippified Magic Squares", which was basically the same thing as my "Magic 45-omino" idea except maximizing symmetry in each block rather than making a connected polyomino. (And apparently it was used … ★ 7

Happy Rectangular February for all who celebrate! The 2⊕3⊕4■ pieces tile a 4×7 rectangle in 1522 ways. The L3+◣ pieces have an area of 28, but they only tile unsatisfying Februaries! #TilingTuesday ★ 12

Polyomino "fence" problems ask you to maximize the area surrounded by a set of polyominoes. I usually don't find these problems terribly interesting, but in this case I was looking at a piece set that didn't seem to want to do much else. T… ★ 6

🐘 Community & instance

Home server

mathstodon.xyz

Their home server on the fediverse — the instance a creator picks signals the community they belong to.

On Mastodon since

Feb 2022

An established account with real history on the platform.

💡 Facts

🗓️Joined Mastodon in 2022 — 4 years ago.

👁️Averages 8 views per post.

📤Posts about 0.4× per week.

🕵️ Fake follower check

Estimated

80/100

Excellent Credibility score

97%

Real Real audience

Low Fake-follower risk

High Data confidence

Est. 97% real, active audience · Low fake-follower risk.
Strong engagement (~4.7% of followers engage each post) — an active, real audience.
Established account (4+ years old).

Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.

About

I like polyform puzzles, dice, and any other kind of recreational mathematics that you can turn into physical objects using lasers.

📸 Gallery

$Using a ½-weight triangle as our base cell, we get 12 ways to combine 5 of them into polyiamonds where cells can have weight ½ or 1. (More compactly, my notation for this set is 5·½▲. The blog post where I explain how fractions work is in progress.) I'm using a sort of pinwheel dissection of triangles to show overlapping ½-weight cells belonging to different pieces. The solid triangles represent$

🔀 Audience overlap

Estimated

Estimated shared audience with similar creators — useful for avoiding overlap (or doubling down) when planning a campaign.

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fahrradfuchs 16%

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dirt_character 12%

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Alexandre Muñiz

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Known for

📊 Post engagement

📊 Activity & format

Recent posts

🐘 Community & instance

💡 Facts

🕵️ Fake follower check

About

📸 Gallery

🔀 Audience overlap

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