concept
active
concept:alhambraAlhambra
The primary historical artifact studied; a palace in Granada, Spain containing abundant frieze and wallpaper geometric patterns.
Neighborhood — ranked by edge-count
Papers (1)
paper
- Frieze Patterns of the Alhambramentions
Thinkers (1)
thinker
- B. Lynn BodnerstudiesAuthor of the paper analyzing frieze patterns in Islamic art and architecture.
Communities (1)
community
- Islamic Geometric Patternsmembers_of
Concepts (2)
concept
- Frieze PatternscitesThe primary mathematical object of study; one-dimensional infinitely-repeating geometric patterns found in Islamic art.
- Mexuar roomassociated_withRoom in the Alhambra containing the calligraphic p111 frieze
Findings (2)
finding
- Glazed tile inscription at summit of pillar, Figure 1; motto 'There is no victor but Allah'
- Author's survey of Alhambra ornamentation yielded all seven types
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- The plan of the Alhambra palace, used as a key example of local symmetries without overall symmetry—wildly asymmetrical overall yet full of local symmetries at many levels, creating organic wholeness adapted to site
- The four green hexagons forming a cross around the star-octagon, intensifying its life.
- The larger eight-pointed star in the tile pattern, used in the five-step sequence to show increasing life.
- A fragment of tilework from the Alhambra used to illustrate recursion of centers and mutual helping.
- Affiliation of Penousal Machado.
- Empirical game-theory benchmark with a pilot task on scarce resource allocation through multi-round auctions, cited.
- Author's qualitative observation of unequal distribution of frieze types
- Palace in Seville, Spain; Bodner also studied frieze patterns there to verify findings.