#pentagons — Public Fediverse posts

Why are there two pentagons in the otherwise hex-tiled American continents displayed in TRON: Legacy’s Rectifier Globe computer graphics?

I was watching the TRON: Legacy 4K Ultra HD Blu-ray remaster (only my second time watching the 4K remaster) in the background earlier today when I sensed something “off” in the land mass tiling of the rotating globe graphic.

I paused the video and after less than a minute of scrutinizing the dark globe with orange outlined hexagon tiling, spotted a single pentagon (among the hexagons) inside the 2d projections of the American continents. See if you can spot it.

After writing the first draft of this post, I double-checked the graphic and found one more pentagon!


Credit: Image from https://ilikeinterfaces.com/2015/03/24/map-ui-tron-legacy/, fair use from Walt Disney, Inc.

The first pentagon I spotted is in the northwest quadrant of South America, and clearly visible at time index 1:38:03. The second pentagon is near Alaska. Now I can't unsee either. How did only two pentagons make it in there? Seems unlikely to be an accident or rendering bug. The only thing I can think of is the designer/artist(s) that created the graphic animation placed the two pentagons deliberately. But why?

GMUNK Studio’s post about the Rectifier Globe (https://gmunk.com/TRON-Rectifier-Globe) doesn’t mention the pentagons.

Yes, I know the math/geometry about how you can’t tile a sphere with only hexagons, that several pentagons are necessary at various points on a sphere to stitch together the hexagons. This is just two small pentagons, not several, and the Rectifier Globe only has/uses hex-tiling for the land masses, not the entire sphere. Nor is the hex-tiling “perfect” by any measure. The hexagonal edges of the continents don’t match-up with hex-tiling much (most?) of the way around the coasts of the continents either, so it can’t have been to fix that.

Are those two pentagons merely imperfections (necessary or accidental)? Or an Easter-egg or secret reference of sorts from the graphic artist(s)?

I searched the web and could not find any answers or even mentions of these two pentagons in this graphic. Did anyone notice them previously?

#TRON #TRONLegacy #pentagon #pentagons #hex #hexagon #hexagons #hexTile #hexTiles #hexTiled #Rectifier #RectifierGlobe #globe #computerGraphic #computerGraphics #math #maths #geometry #sphere #tile #tiled #tiling
#Blaugust #Blaugust2026

#Kilkenny set to host major international sporting event
https://kensbookinfo.blogspot.com/p/ireland.html#KilkennyPeople

#LasVegas lost the most construction jobs of any #US
https://kensbookinfo.blogspot.com/p/business.html#47

#Indonesia targets 6 million motorcycles for #EV conversion
https://kensbookinfo.blogspot.com/p/etc.html#Indonesia

Sam Altman admits #OpenAI cant control #Pentagons
https://kensbookinfo.blogspot.com/p/infotech.html#10

#China sets lowest growth target in decades as consumption
https://kensbookinfo.blogspot.com/p/world-capitals.html#Luxembourg

#NewPROBLEMS Plaguing #Disney #World in 2026
https://kensbookinfo.blogspot.com/p/interest.html#25

RE: https://mathstodon.xyz/@HypercubicPeg/115531876618088284

Experiments with Dürer-type tilings from a few years back.

#tessellationTuesday #radialSymmetry #pentagons

@christianp i’m not sure if I can figure out how to write alt-text for them in a reasonable amount of time, but they are all radial tilings of pentagons based on a wedge of pentagons which are shifted in various ways.

Actually, the patterns are shown in pairs, the first in the pair has the pentagons coloured in partially transparent grey so that the overlapping of wedges can be seen, and the second is the same pattern in a solid colour.

The overall pattern seems the same in these four pictures even though they were obtained differently.

#tessellationTuesday #pentagons

It's #TilingTuesday - Dragon rosette. Consists of 253 equilateral shapes tiled edge to edge without any gaps. It has 12 pentagons and a needle thin hexa star.

#Tiling #MathArt #Geometry #Pentagons #MathsArt #MastoArt

Something halloweeny from a few years back.

#halloween #mathart #mathsart #pentagons

(1/?) Patterned Penrose Pentagon thread

I submitted this picture to the 2021 JMM Art Exhibition with the following description:

‘This year, Sir Roger Penrose won a Nobel Prize in physics for his work involving black holes. This piece is intended to be a general celebration of his work.

It consists of an impossible shape referred to as the Penrose Pentagon, which appears to be patterned with an Penrose rhombus tiling. In actuality, the tiling has been done over a large area, but is only visible through the strategically-aligned impossible shape, with shading providing the illusion of depth.

Last year the “shadow” of black hole at the center of galaxy M87 was “photographed” using the Event Horizon Telescope. Strangely enough, one can almost see a pentagon there. I have used a similar colour palette to tint this pentagon.’

#mathart #mathsart #pentagons #PenroseTiling #tiling #tilings

Pentagonal pyramids meets tetrahedra to make a pointy pointy star 🎇 #PerfectLoop #Pentagons #Hedron #MastoArt #Art #Animated #3D #MathArt #MathsArt

Flowery. #MastoArt #MathArt #MathsArt #Pentagons #Geometry #Flower #Patterm

The inner joining angle between spirals was wrong, I fixed it by adding another inner pentagon #MathsArt #MastoArt #Pentagons #Spiral #Tiling

Double spiral of pentagons dissected with so that a pentagon of side n contains n pentagons #MastoArt #MathsArt #Pentagons #Spiral #Tiling

Some knotted strips of wrapping paper and ribbon.

#paperStrips #paperFolding #pentagons #mathart #mathsart #knots

Some patterns of non-overlapping (I hope) regular #pentagons from a couple of years ago.

#mathart #mathsart

Here is a #Halloween pattern based on a modification of one of my #pentagon patterns and a tiny bit of #recursion.

#symmetry #pentagons #polygonsquiggles

I made this a few years ago. I am posting it today in honour of Sir Roger Penrose’s birthday.

https://twitter.com/i/events/1316755918609166338?s=20

#mathart #mathsart #pentagons #PenroseTiling #tiling #tilings

This is a link to a Twitter Moment that I set up 4 years ago about my investigations related to “The Creature” (which itself came into being more than 3 decades ago).

https://twitter.com/i/events/1011825298382426119?s=20

#mathart #mathsart #polyhedra #geometry #geometricart #dodecahedrons #dodecahedron #polyhedrons #pentagons

Something from a long time ago that I found again 4 years ago

#mathart #mathsart #pentagons

“Cairo Transitions: Radial”

Does this look like a #CairoTiling to you? Or could it be a #tessellation of trapezoids and triangles?

#worldTessellationDay #tessellations #tiling #tilings #mathart #mathsart #pentagons

And another of these

#mathart #mathsart #rhombuses #pentagons

A picture from a few years back using #rhombuses, #pentagons and shading.

#mathart #mathsart