Pattern Continuity in Polygon Tessellations

Severi Virolainen

Pattern Continuity in Polygon Tessellations

Severi Virolainen

Department of Architecture

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

Polygonal tessellations create exciting and fascinating patterns. These tessellations (tilings) are used in architecture, textiles, board games, and various other fields for practical, structural, and decorative purposes. If the polygons (tiles) contain a pattern, and the patterns connect at the polygon’s edges, the combined patterns can be even more fascinating. This study presents logic and constraints governing the appearance of polygons, with a primary focus on edges and a secondary focus on the patterns inside. Additionally, I question the practice of referring to patterned polygons as Truchet tiles.

Original language	English
Title of host publication	Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture
Editors	Judy Holdener, Eve Torrennce, Chamberlain Fong, Katherine Seaton, Craig S. Kaplan
Place of Publication	Phoenix, Arizona, USA
Publisher	Tessellations Publishing
Pages	53-60
Number of pages	8
ISBN (Electronic)	978-1-938664-45-8
Publication status	Published - 2023
MoE publication type	A4 Conference publication
Event	Bridges Conference: Mathematics, Art, Music, Architecture, Culture - Halifax, Canada Duration: 27 Jul 2023 → 31 Jul 2023 Conference number: 26 https://www.bridgesmathart.org/

Publication series

Name	Bridges 2023 Conference Proceedings
Publisher	Tessellations Publishing
ISSN (Electronic)	1099-6702

Conference

Conference	Bridges Conference
Country/Territory	Canada
City	Halifax
Period	27/07/2023 → 31/07/2023
Internet address	https://www.bridgesmathart.org/

Keywords

tessellation
pattern
continyity
polygons

Access to Document

https://archive.bridgesmathart.org/2023/bridges2023-53.html#gsc.tab=0

Cite this

@inproceedings{0454ab0432c84ffeb70c27e6e937d6f6,

title = "Pattern Continuity in Polygon Tessellations",

abstract = "Polygonal tessellations create exciting and fascinating patterns. These tessellations (tilings) are used in architecture, textiles, board games, and various other fields for practical, structural, and decorative purposes. If the polygons (tiles) contain a pattern, and the patterns connect at the polygon{\textquoteright}s edges, the combined patterns can be even more fascinating. This study presents logic and constraints governing the appearance of polygons, with a primary focus on edges and a secondary focus on the patterns inside. Additionally, I question the practice of referring to patterned polygons as Truchet tiles.",

keywords = "tessellation, pattern, continyity, polygons",

author = "Severi Virolainen",

year = "2023",

language = "English",

series = "Bridges 2023 Conference Proceedings",

publisher = "Tessellations Publishing",

pages = "53--60",

editor = "Judy Holdener and Eve Torrennce and Chamberlain Fong and Katherine Seaton and Kaplan, \{Craig S.\}",

booktitle = "Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture",

address = "United States",

note = "Bridges Conference : Mathematics, Art, Music, Architecture, Culture ; Conference date: 27-07-2023 Through 31-07-2023",

url = "https://www.bridgesmathart.org/",

}

Virolainen, S 2023, Pattern Continuity in Polygon Tessellations. in J Holdener, E Torrennce, C Fong, K Seaton & CS Kaplan (eds), Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture. Bridges 2023 Conference Proceedings, Tessellations Publishing, Phoenix, Arizona, USA, pp. 53-60, Bridges Conference, Halifax, Canada, 27/07/2023. <https://archive.bridgesmathart.org/2023/bridges2023-53.html#gsc.tab=0>

Pattern Continuity in Polygon Tessellations. / Virolainen, Severi.
Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture. ed. / Judy Holdener; Eve Torrennce; Chamberlain Fong; Katherine Seaton; Craig S. Kaplan. Phoenix, Arizona, USA: Tessellations Publishing, 2023. p. 53-60 (Bridges 2023 Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Pattern Continuity in Polygon Tessellations

AU - Virolainen, Severi

N1 - Conference code: 26

PY - 2023

Y1 - 2023

N2 - Polygonal tessellations create exciting and fascinating patterns. These tessellations (tilings) are used in architecture, textiles, board games, and various other fields for practical, structural, and decorative purposes. If the polygons (tiles) contain a pattern, and the patterns connect at the polygon’s edges, the combined patterns can be even more fascinating. This study presents logic and constraints governing the appearance of polygons, with a primary focus on edges and a secondary focus on the patterns inside. Additionally, I question the practice of referring to patterned polygons as Truchet tiles.

AB - Polygonal tessellations create exciting and fascinating patterns. These tessellations (tilings) are used in architecture, textiles, board games, and various other fields for practical, structural, and decorative purposes. If the polygons (tiles) contain a pattern, and the patterns connect at the polygon’s edges, the combined patterns can be even more fascinating. This study presents logic and constraints governing the appearance of polygons, with a primary focus on edges and a secondary focus on the patterns inside. Additionally, I question the practice of referring to patterned polygons as Truchet tiles.

KW - tessellation

KW - pattern

KW - continyity

KW - polygons

M3 - Conference article in proceedings

T3 - Bridges 2023 Conference Proceedings

SP - 53

EP - 60

BT - Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture

A2 - Holdener, Judy

A2 - Torrennce, Eve

A2 - Fong, Chamberlain

A2 - Seaton, Katherine

A2 - Kaplan, Craig S.

PB - Tessellations Publishing

CY - Phoenix, Arizona, USA

T2 - Bridges Conference

Y2 - 27 July 2023 through 31 July 2023

ER -

Pattern Continuity in Polygon Tessellations

Abstract

Publication series

Conference

Keywords

Access to Document

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Cite this