Nan Ma

Nan Ma

Mastodon @nanma80@mathstodon.xyz
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Followers
232
Account age
4 yrs

Known for

I built a new 2D coordinate-motion model based on the Cairo tiling, a periodic tiling of the plane. All the identical pieces move in and out together. There are two independent expanding motions, rotated 90° from each other. Each one opens only half of the triangular holes. You can also tell them apart by watching how the central square expands. If you combine the two motions, all the holes open a170 views I built a new 2D coordinate-motion model based on the Cairo tiling, a periodic tiling of the plane. All the identical pieces move in and out together. There are two independent expanding motions, rotated 90° from each other. Each one opens only half of the triangular holes. You can also tell them apart by watching how the central square expands. If you combine the two motions, all the holes open a I'm still having fun with the yellow Cairo tiles from my previous post. This time, I mixed them with the white hexagonal tiles from an earlier model to create a flowery pattern. The key observation is that six Cairo tiles can form a ring with a regular hexagon at the center. If we fill that central hole with a white hexagonal tile, the ring looks like a yellow-and-white hexagonal flower. If we lea23 views I'm still having fun with the yellow Cairo tiles from my previous post. This time, I mixed them with the white hexagonal tiles from an earlier model to create a flowery pattern. The key observation is that six Cairo tiles can form a ring with a regular hexagon at the center. If we fill that central hole with a white hexagonal tile, the ring looks like a yellow-and-white hexagonal flower. If we lea I made Lights Out 4D: the classic puzzle game, but on stereographic projections of 4D polytopes. Three shapes to solve: 16-cell → 24-cell → 600-cell. For these polytopes, edges form great circles (rings). Players click a vertex to toggle the state of the rings passing through it. The objective is to turn off all rings. You can change viewpoints in 3D and 4D. Works on phone & desktop. Link: https:/20 views I made Lights Out 4D: the classic puzzle game, but on stereographic projections of 4D polytopes. Three shapes to solve: 16-cell → 24-cell → 600-cell. For these polytopes, edges form great circles (rings). Players click a vertex to toggle the state of the rings passing through it. The objective is to turn off all rings. You can change viewpoints in 3D and 4D. Works on phone & desktop. Link: https:/ Follow-up to my paper great dodecahedron post https://mathstodon.xyz/@nanma80/116303406475501952 I enumerated all common nets of the dodecahedron and the great dodecahedron. They are nets with 12 pentagonal faces that fold into both shapes, with faces interpenetrating when folded into the great dodecahedron. With most nets, some faces collide (land in the same position) and not all 12 face positio14 views Follow-up to my paper great dodecahedron post https://mathstodon.xyz/@nanma80/116303406475501952 I enumerated all common nets of the dodecahedron and the great dodecahedron. They are nets with 12 pentagonal faces that fold into both shapes, with faces interpenetrating when folded into the great dodecahedron. With most nets, some faces collide (land in the same position) and not all 12 face positio

📊 Post engagement

23
Avg engagement / post
9.9%
Engagement vs followers
Apr 2022
On Mastodon since

🔥 Top post: I built a new 2D coordinate-motion model based on the Cairo tili · 170 likes + reposts

📊 Activity & format

Posting cadence
0.55 / week
A lower-frequency account — each post lands with more weight.
Content mix
Mostly images
Recent: 1 text · 10 image · 1 video.
Follower / following
6.4×
Follows 36 back. A strong ratio — an audience that follows them, not a follow-for-follow network.

Recent posts

View on Mastodon ↗
▶ 🔥 Top post I built a new 2D coordinate-motion model based on the Cairo tiling, a periodic tiling of the plane. All the identical pieces move in and out together. There are two independent expanding motions, rotated 90° from each other. Each one opens only half of the triangular holes. You … ★ 170
We cannot build the aperiodic Spectre tiling exactly with physical Zometool, because it cannot make 30-degree angles. However, we can approximate it using red and blue struts. Unlike the real Spectre tiling, this approximation is not copla… ★ 4 Paulo Freire and I have been searching for orthographic projections that can be built with Zometool, with help from AI and from vZome. We found these beautiful models of projections of the 6D hypercube. Check the interactive 3D models here… ★ 3 Follow-up to my paper great dodecahedron post https://mathstodon.xyz/@nanma80/116303406475501952 I enumerated all common nets of the dodecahedron and the great dodecahedron. They are nets with 12 pentagonal faces that fold into both shapes… ★ 14 The intermediate stages to fold into the great dodecahedron look quite messy (as the picture shows), but it is satisfying to see everything lock into place with each face ending up perfectly flat. I built a paper model of a great dodecahedron. The net consists of 12 pentagonal "flower" shapes, each in a different color. What makes this particular net interesting is that it also serves as a net for a regular dodecahedron: the same fl… ★ 6 My favorite Pi Day thought this year comes from a question I saw online: Is π a complex number? Of course π is a real number, and every real number is also a complex number. Still, almost nobody casually says “π is a complex number.” In th… ★ 1 I made Lights Out 4D: the classic puzzle game, but on stereographic projections of 4D polytopes. Three shapes to solve: 16-cell → 24-cell → 600-cell. For these polytopes, edges form great circles (rings). Players click a vertex to toggle t… ★ 20 Close-up pictures of the ring of 6 Cairo tiles + 1 hexagon. ★ 1 I'm still having fun with the yellow Cairo tiles from my previous post. This time, I mixed them with the white hexagonal tiles from an earlier model to create a flowery pattern. The key observation is that six Cairo tiles can form a ring w… ★ 23 Various stages of the motions ★ 4 A few more pictures showing different combinations ★ 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
Apr 2022
An established account with real history on the platform.

💡 Facts

🗓️Joined Mastodon in 2022 — 4 years ago.
👁️Averages 23 views per post.
📤Posts about 0.6× per week.

🛡️ Audience credibility

80/100 Excellent
  • Est. 97% real, active audience · Low fake-follower risk.
  • Strong engagement (~9.9% of followers engage each post) — an active, real audience.
  • Established account (4+ years old).
Est. authentic audience
97%
Fake-follower risk
Low
Data confidence
High

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

About

Geometry lover

📸 Gallery

We cannot build the aperiodic Spectre tiling exactly with physical Zometool, because it cannot make 30-degree angles. However, we can approximate it using red and blue struts. Unlike the real Spectre tiling, this approximation is not coplanar, and the red and blue struts are not the same length. The 30-degree angle is approximated by 31.7 degrees. The Spectre tiling has two orientation classes: ev Paulo Freire and I have been searching for orthographic projections that can be built with Zometool, with help from AI and from vZome. We found these beautiful models of projections of the 6D hypercube. Check the interactive 3D models here: https://www.nan.ma/vzome-sharing/2026/06/09/five-zomeable-6-cube-projections.html Each model has a special property: it uses Zometool struts of a single color, Follow-up to my paper great dodecahedron post https://mathstodon.xyz/@nanma80/116303406475501952 I enumerated all common nets of the dodecahedron and the great dodecahedron. They are nets with 12 pentagonal faces that fold into both shapes, with faces interpenetrating when folded into the great dodecahedron. With most nets, some faces collide (land in the same position) and not all 12 face positio The intermediate stages to fold into the great dodecahedron look quite messy (as the picture shows), but it is satisfying to see everything lock into place with each face ending up perfectly flat. I built a paper model of a great dodecahedron. The net consists of 12 pentagonal "flower" shapes, each in a different color. What makes this particular net interesting is that it also serves as a net for a regular dodecahedron: the same flat pattern can be folded into either shape. This dual property is quite rare: most dodecahedron nets do not work as great dodecahedron nets. With an arbitrary ne I made Lights Out 4D: the classic puzzle game, but on stereographic projections of 4D polytopes. Three shapes to solve: 16-cell → 24-cell → 600-cell. For these polytopes, edges form great circles (rings). Players click a vertex to toggle the state of the rings passing through it. The objective is to turn off all rings. You can change viewpoints in 3D and 4D. Works on phone & desktop. Link: https:/ Close-up pictures of the ring of 6 Cairo tiles + 1 hexagon. I'm still having fun with the yellow Cairo tiles from my previous post. This time, I mixed them with the white hexagonal tiles from an earlier model to create a flowery pattern. The key observation is that six Cairo tiles can form a ring with a regular hexagon at the center. If we fill that central hole with a white hexagonal tile, the ring looks like a yellow-and-white hexagonal flower. If we lea

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Estimated

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Derek Guder (he/him) Derek Guder (he/him) 16% contrasocial contrasocial 16% 鷹野凌 鷹野凌 11% loafbrr loafbrr 11% Nima Fanniasl | نیما فنی‌اصل Nima Fanniasl | نیما فنی‌اصل 10% MarieSartori :unverified: MarieSartori :unverified: 10%

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