Tessell Automata
Tessell Automata
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Tessellation Automata | Truncated Trihexagonal Tiling | 6
A cellular automaton framework on a tiling of dodecagons and triangles.
Cellular Automaton Details:
- Type: 2-dimensional
- Array: Utilising a semi-regular tiling of polygons
- Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons.
- Source: mathworld.wolfram.com/topics/CellularAutomata.html
Tessellation:
- Primitive unit: Consisting of two triangles and one dodecagon (truncated trihexagonal tiling).
Cell Color Coding:
- State 0: black
- State 1: white (If a cell stays alive during multiple steps it will fade to grey.)
#cellularautomata
#tessellation
#mathart
#algorithmicart
#tiling
มุมมอง: 44

วีดีโอ

Tessellation Automata | Rhombille Tiling | 11:27Tessellation Automata | Rhombille Tiling | 1
Tessellation Automata | Rhombille Tiling | 1
มุมมอง 2562 หลายเดือนก่อน
A cellular automaton framework on a tiling of rhombi. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard rhombille tiling (tumbling blocks, reversible cubes, or the dice lattice) - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: thr...
Tessellation Automata | Truncated Square Tiling | 41:17Tessellation Automata | Truncated Square Tiling | 4
Tessellation Automata | Truncated Square Tiling | 4
มุมมอง 2332 หลายเดือนก่อน
A cellular automaton framework on a tiling of octagons and squares. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a non-regular tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Consisting of one octagon and one squar...
Tessellation Automata: Exploration of Conway's Game of Life in Snub Square Tiling (B3 S23) Glider!2:35Tessellation Automata: Exploration of Conway's Game of Life in Snub Square Tiling (B3 S23) Glider!
Tessellation Automata: Exploration of Conway's Game of Life in Snub Square Tiling (B3 S23) Glider!
มุมมอง 1032 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles and squares with a glider. The traditional Conway's Game of Life is a cellular automaton devised by mathematician John Horton Conway in 1970. It is a zero-player game on a 2D grid of squares where each cell can be alive or dead. The game evolves based on simple rules: - Any live cell with fewer than two live neighbors dies (underpopulation...
Tessellation Automata | Snub Square Tiling | Glider! (B3 S23)1:11Tessellation Automata | Snub Square Tiling | Glider! (B3 S23)
Tessellation Automata | Snub Square Tiling | Glider! (B3 S23)
มุมมอง 482 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles and squares with a glider. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a semi-regular tiling - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Four triangles and two squares (snub ...
Tessellation Automata | Triangular Tiling | 5 (oscillators and gliders)1:20Tessellation Automata | Triangular Tiling | 5 (oscillators and gliders)
Tessellation Automata | Triangular Tiling | 5 (oscillators and gliders)
มุมมอง 1232 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles with interesting oscillators, gliders, spaceships, ... By placing two oscillators at the right position it is possible to invert the direction of the (small) glider. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard triangular tiling - Totalistic neighborhood: Defined by shared edges and shared vertices betwee...
Tessellation Automata | Rhombille Tiling | 1 (B3 S23)1:08Tessellation Automata | Rhombille Tiling | 1 (B3 S23)
Tessellation Automata | Rhombille Tiling | 1 (B3 S23)
มุมมอง 1242 หลายเดือนก่อน
A cellular automaton framework on a tiling of rhombi. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard rhombille tiling (tumbling blocks, reversible cubes, or the dice lattice) - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: thr...
Tessellation Automata | Rhombille Tiling | 01:00Tessellation Automata | Rhombille Tiling | 0
Tessellation Automata | Rhombille Tiling | 0
มุมมอง 1062 หลายเดือนก่อน
A cellular automaton framework on a tiling of rhombi. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard rhombille tiling (tumbling blocks, reversible cubes, or the dice lattice) - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: thr...
Tessellation Automata | Triangular Tiling | 4 (invert gliders)1:10Tessellation Automata | Triangular Tiling | 4 (invert gliders)
Tessellation Automata | Triangular Tiling | 4 (invert gliders)
มุมมอง 6732 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard triangular tiling - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Two equally sized triangles (triangular tiling). Rule: -...
Tessellation Automata | Triangular Tiling | 3 (glider)1:01Tessellation Automata | Triangular Tiling | 3 (glider)
Tessellation Automata | Triangular Tiling | 3 (glider)
มุมมอง 3232 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a standard triangular tiling - Totalistic neighborhood: Defined by shared edges and shared vertices between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Two equally sized triangles (triangular tiling). Rule: -...
Tessellation Automata | Rhombitrihexagonal Tiling | 3 (B134 S012)1:08Tessellation Automata | Rhombitrihexagonal Tiling | 3 (B134 S012)
Tessellation Automata | Rhombitrihexagonal Tiling | 3 (B134 S012)
มุมมอง 7272 หลายเดือนก่อน
A cellular automaton framework on a tiling of hexagons, squares and triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a semi-regular tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Consisting of two triangles...
Tessellation Automata | 3-4-6-12 Tiling | 2 (B26789 S2345)1:21Tessellation Automata | 3-4-6-12 Tiling | 2 (B26789 S2345)
Tessellation Automata | 3-4-6-12 Tiling | 2 (B26789 S2345)
มุมมอง 1902 หลายเดือนก่อน
A cellular automaton framework on a tiling of dodecagons, hexagons, squares and triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a 2-uniform tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons. - Rule: B26789 S2345 - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive uni...
Tessellation Automata | 3-4-6-12 Tiling | 1 (long)2:32Tessellation Automata | 3-4-6-12 Tiling | 1 (long)
Tessellation Automata | 3-4-6-12 Tiling | 1 (long)
มุมมอง 1712 หลายเดือนก่อน
A cellular automaton framework on a tiling of dodecagons, hexagons, squares and triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a 2-uniform tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Consisting of two ...
Tessellation Automata | Truncated Trihexagonal Tiling | 81:04Tessellation Automata | Truncated Trihexagonal Tiling | 8
Tessellation Automata | Truncated Trihexagonal Tiling | 8
มุมมอง 5552 หลายเดือนก่อน
A cellular automaton framework on a tiling of dodecagons and triangles. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a semi-regular tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices) between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit: Consisting of two triangles and on...
Tessellation Automata | Rhombus-Triangle-Square Tiling | 31:00Tessellation Automata | Rhombus-Triangle-Square Tiling | 3
Tessellation Automata | Rhombus-Triangle-Square Tiling | 3
มุมมอง 4142 หลายเดือนก่อน
A cellular automaton framework on a tiling of triangles, squares and rhombi. Cellular Automaton Details: - Type: 2-dimensional - Array: Utilising a non-standard tiling of polygons - Totalistic neighborhood: Defined by shared edges (and shared vertices in case of Moore neighborhood) between the polygons. - Source: mathworld.wolfram.com/topics/CellularAutomata.html Tessellation: - Primitive unit:...
Tessellation Automata | 3-4-6-12 Tiling | 01:02Tessellation Automata | 3-4-6-12 Tiling | 0
Tessellation Automata | 3-4-6-12 Tiling | 0
มุมมอง 1182 หลายเดือนก่อน
Tessellation Automata | 3-4-6-12 Tiling | 0
Tessellation Automata | Truncated Trihexagonal Tiling | 71:04Tessellation Automata | Truncated Trihexagonal Tiling | 7
Tessellation Automata | Truncated Trihexagonal Tiling | 7
มุมมอง 8272 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 7
Tessellation Automata | Truncated Trihexagonal Tiling | 51:03Tessellation Automata | Truncated Trihexagonal Tiling | 5
Tessellation Automata | Truncated Trihexagonal Tiling | 5
มุมมอง 722 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 5
Tessellation Automata | Truncated Square Tiling | 31:15Tessellation Automata | Truncated Square Tiling | 3
Tessellation Automata | Truncated Square Tiling | 3
มุมมอง 182 หลายเดือนก่อน
Tessellation Automata | Truncated Square Tiling | 3
Tessellation Automata | Truncated Trihexagonal Tiling | 41:04Tessellation Automata | Truncated Trihexagonal Tiling | 4
Tessellation Automata | Truncated Trihexagonal Tiling | 4
มุมมอง 3572 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 4
Tessellation Automata | Rhombus-Triangle-Square Tiling | 21:01Tessellation Automata | Rhombus-Triangle-Square Tiling | 2
Tessellation Automata | Rhombus-Triangle-Square Tiling | 2
มุมมอง 72 หลายเดือนก่อน
Tessellation Automata | Rhombus-Triangle-Square Tiling | 2
Tessellation Automata | Truncated Trihexagonal Tiling | 21:02Tessellation Automata | Truncated Trihexagonal Tiling | 2
Tessellation Automata | Truncated Trihexagonal Tiling | 2
มุมมอง 2032 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 2
Tessellation Automata | Truncated Square Tiling | 21:16Tessellation Automata | Truncated Square Tiling | 2
Tessellation Automata | Truncated Square Tiling | 2
มุมมอง 1112 หลายเดือนก่อน
Tessellation Automata | Truncated Square Tiling | 2
Tessellation Automata | Truncated Trihexagonal Tiling | 31:03Tessellation Automata | Truncated Trihexagonal Tiling | 3
Tessellation Automata | Truncated Trihexagonal Tiling | 3
มุมมอง 762 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 3
Tessellation Automata | Trihexagonal Tiling | 11:03Tessellation Automata | Trihexagonal Tiling | 1
Tessellation Automata | Trihexagonal Tiling | 1
มุมมอง 1143 หลายเดือนก่อน
Tessellation Automata | Trihexagonal Tiling | 1
Tessellation Automata | Truncated Square Tiling | 11:23Tessellation Automata | Truncated Square Tiling | 1
Tessellation Automata | Truncated Square Tiling | 1
มุมมอง 463 หลายเดือนก่อน
Tessellation Automata | Truncated Square Tiling | 1
Tessellation Automata | Trihexagonal Tiling | 01:03Tessellation Automata | Trihexagonal Tiling | 0
Tessellation Automata | Trihexagonal Tiling | 0
มุมมอง 463 หลายเดือนก่อน
Tessellation Automata | Trihexagonal Tiling | 0
Tessellation Automata | Rhombitrihexagonal Tiling | 21:14Tessellation Automata | Rhombitrihexagonal Tiling | 2
Tessellation Automata | Rhombitrihexagonal Tiling | 2
มุมมอง 1263 หลายเดือนก่อน
Tessellation Automata | Rhombitrihexagonal Tiling | 2
Tessellation Automata | Truncated Trihexagonal Tiling | 11:04Tessellation Automata | Truncated Trihexagonal Tiling | 1
Tessellation Automata | Truncated Trihexagonal Tiling | 1
มุมมอง 6393 หลายเดือนก่อน
Tessellation Automata | Truncated Trihexagonal Tiling | 1
Tessellation Automata | Weave Tiling | 31:04Tessellation Automata | Weave Tiling | 3
Tessellation Automata | Weave Tiling | 3
มุมมอง 833 หลายเดือนก่อน
Tessellation Automata | Weave Tiling | 3

ความคิดเห็น

  • @samvarcoe
    @samvarcoe หลายเดือนก่อน

    That scaling effect is such a great idea!

  • @samvarcoe
    @samvarcoe 2 หลายเดือนก่อน

    Awesome

  • @thepizzaguy8477
    @thepizzaguy8477 2 หลายเดือนก่อน

    Wow, thats pretty, must have been fun to make. Very snowflake like

    • @TessellAutomata
      @TessellAutomata 2 หลายเดือนก่อน

      Thank you! It was indeed fun to create. It's fascinating how mathematical patterns can resemble natural forms.

  • @dotprodukt
    @dotprodukt 2 หลายเดือนก่อน

    "shared edges and shared vertices between the polygons." So that would be a neighborhood of 10 cells in this case correct?

    • @TessellAutomata
      @TessellAutomata 2 หลายเดือนก่อน

      Yes, that's correct!

  • @Gulzt
    @Gulzt 2 หลายเดือนก่อน

    Amazing!!

  • @LettersAndNumbers300
    @LettersAndNumbers300 2 หลายเดือนก่อน

    Could these be fundamental algorithms of our reality, like at a particle level?

  • @nicholasgagliano1195
    @nicholasgagliano1195 2 หลายเดือนก่อน

    Very interesting kind of reminds me of a snowflake I wonder if these baseline structures could be used to generate. Artificial images of snowflakes.

    • @TessellAutomata
      @TessellAutomata 2 หลายเดือนก่อน

      There's definitely potential there for exploration!

  • @phylliida
    @phylliida 2 หลายเดือนก่อน

    These are so pretty

  • @hexagon-multiverse
    @hexagon-multiverse 2 หลายเดือนก่อน

    Love to see spaceships in action.

  • @hexagon-multiverse
    @hexagon-multiverse 2 หลายเดือนก่อน

    Beautiful work!

  • @hexagon-multiverse
    @hexagon-multiverse 2 หลายเดือนก่อน

    A hexagonal field of hexagonally arranged cells. I love it!

  • @Miaumiau3333
    @Miaumiau3333 2 หลายเดือนก่อน

    Which local rule are you using to update the system?

    • @TessellAutomata
      @TessellAutomata 2 หลายเดือนก่อน

      I think this one was: birth if 1,2 or 3 cells are alive and survival if 0, 1 or 2.

  • @MystifytheGreatSaint
    @MystifytheGreatSaint 2 หลายเดือนก่อน

    Beautiful!

  • @ultimateo621
    @ultimateo621 2 หลายเดือนก่อน

    At first I thought this might be cellular automata on a Penrose tiling but this is cool too

  • @cookiedudegaming
    @cookiedudegaming 2 หลายเดือนก่อน

    Amazing

  • @moralboundaries1
    @moralboundaries1 2 หลายเดือนก่อน

    beautiful stuff <3

  • @thatrandomrecorder914
    @thatrandomrecorder914 2 หลายเดือนก่อน

    Very cool.

  • @zestyorangez
    @zestyorangez 2 หลายเดือนก่อน

    clearly there's some cycling of patterns but i wonder if you took a sub-sequence of properly scaled iterations if it would converge to a single image.

  • @NationRPvb7kg
    @NationRPvb7kg 2 หลายเดือนก่อน

    wow looks realy cool. Its kindof like the game of life thing but it looks cooler.

  • @ILIESDAOUD-xn2kp
    @ILIESDAOUD-xn2kp 2 หลายเดือนก่อน

    الخالق

  • @incognito_gamer
    @incognito_gamer 2 หลายเดือนก่อน

    what happened to my recommended 💀

  • @BlueSilverfish
    @BlueSilverfish 3 หลายเดือนก่อน

    Interesting. There are many forms which remind me of snowflakes.

  • @Geenimetsuri
    @Geenimetsuri 3 หลายเดือนก่อน

    Cool stuff! But this needs 8-bit music in the background.

  • @adityajoshi370
    @adityajoshi370 3 หลายเดือนก่อน

    Dope. Its trippy.

  • @slurmworm666
    @slurmworm666 3 หลายเดือนก่อน

    Nice

  • @anonymusmuller9695
    @anonymusmuller9695 3 หลายเดือนก่อน

    I don't know what it is supposed to mean, but it looks very nice XD

  • @nymphrodellsalavin
    @nymphrodellsalavin 3 หลายเดือนก่อน

    Thank you, this was very soothing