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Jul 21, 2014 · This detailed map of the landscape of mathematics was designed by Martin Kuppe as part of his recent YouTube video Mathematics: Measuring times laziness squared. As well as being humorous, the picture also illustrates the relationships between the major areas of mathematics, such as algebra, geometry, topology, and analysis.
In the default view I can see street and place names, businesses and sites. The satellite view gives me a bird’s-eye view showing the type of landscape and geographical features. Finally, the terrain view gives an indication of the topological nature of the map. I can choose to add additional detail like public transport and traffic information.
From simple starting points — Numbers, Shapes, Change — this map branches out into interwoven tendrils of thought. Follow them, and you’ll understand how prime numbers connect to geometry, how symmetries give a handle on questions of infinity.
Mar 6, 2023 · Many of the world's most beautiful gardens rely heavily on mathematical principles to create their stunning designs. In celebration of Pi Day (3.14) we investigate a bit further into the relationship of math within garden design.
- 2 Introduction and Context
- 3 National Landscape Designations in Wales
- 4 Special Landscape Areas in Wales
- 4.1 Potential role of SLAs
- 5.2 Additional landscape information
- Stage 1: Strategic Criteria for SLA designation
- Stage 3: Establish specific SLAs
- Stage 4: Statement of Value and Significance
- Need for integrity/cohesiveness in areas designated as SLA
- 6.1.2 Landscape criteria
- 6.1.3 Consensus
- Use of LANDMAP information to define Broad Search Areas
- Understanding LANDMAP Evaluation Scores
- Using further available evidence to refine Broad Search Areas
- Evaluation of proposed SLAs against Strategic Criteria
- consensus.
- Primary landscape qualities and features
- Need
- Coherence
- LANDMAP layer
- High
- Moderate M M M M Moderate M M M M High
- Unassessed Unassessed
- H H L L O H L H U 7 Monitoring and Review
This guidance note presents the approach for using LANDMAP to identify local landscape designations, Special Landscape Areas (SLAs). SLAs are a non-statutory designation applied by the local planning authority to define areas of high landscape importance within their administrative boundary. Areas of high landscape importance may be designated fo...
Wales includes national, local, statutory and non-statutory landscape designations. The role of potential SLAs should be considered within the context of that wider framework of designations. In brief, the following landscape designations apply within Wales: National Parks are extensive tracts of country which by reason of their natural beauty an...
Special Landscape Areas are a non-statutory designation applied by the local planning authority to define areas of high landscape importance within their administrative boundary. Areas of high landscape importance may be designated for their intrinsic physical, environmental, visual, cultural and historical value in the contemporary landscape. La...
There may be more than one role for an identified SLA To recognise and protect (through development management) locally valued landscapes important for their distinctive character, qualities and sense of place/bro To influence positive landscape planning. For example by producing design guidance to enhance landscape character or to target land man...
LANDMAP provides the most detailed evaluated landscape resource for the identification of SLAs and their boundaries and should form the primary resource for underpinning and justifying any SLAs. In addition to LANDMAP, many local planning authorities have their own published strategic-level Landscape Character Assessment (LCA) based upon LANDMAP’...
Need (e.g. establishing the planning need for SLA designation) Landscape criteria (e.g. local distinctiveness, landscape quality) Consensus
Field verification Boundary definition Evaluation of proposed SLAs against Strategic Criteria Consider relationship with existing SLAs and other designations (if relevant)
Written justification of the SLA against Strategic Criteria Description of special qualities and features (Optional): Development management / landscape guidance
A SLA will be designated for its intrinsic value; as such the size, scale and boundaries will be determined by the landscape character displaying the values for which it is designated. It must cover more than an individual site or feature, forming a recognisable, coherent area of landscape. The area that is designated must be large enough to make i...
By definition, a SLA designation usually only applies to areas that are deemed as ‘special’ in terms of their local landscape character. This reflects both local distinctiveness and sense of place, as well as landscape quality in its own right. Examples of the former include: A landscape that is particularly rare/unique or special in the local co...
Gaining consensus on the need for SLA designation within the LPA’s administrative area is a key first step in the process. Consensus should then be gained internally (i.e. within the planning and policy teams) throughout the main stages of the process. Establishing a Steering Group to guide and monitor the process would help ensure representative...
This first stage identifies broad search areas for SLA designation using LANDMAP. The broad search areas are determined from the five LANDMAP spatial datasets: the Geological Landscape, Landscape Habitats, Visual & Sensory, the Historic Landscape and the Cultural Landscape. The LANDMAP overall evaluation score and LANDMAP evaluation criteria for ...
All aspect areas have a single overall evaluation score. The overall score is calibrated from a local to an international scale of importance, their definition is summarised in Table 1 below. The overall evaluation scores for each aspect area are derived from the individual scores attributed to specific evaluation criteria for each LANDMAP layer –...
To ensure robustness at each stage in the process, the Broad Search Areas identified using the LANDMAP process should be further refined using other available baseline evidence, including in particular the local Landscape Character Assessment, if available. If the work includes a review of existing local landscape designations, this stage is parti...
Once the proposed individual SLAs have been identified, and boundaries drawn, further evaluation against the Strategic Criteria should take place to double check that the proposed SLAs are robust and backed up by adequate evidence against each criteria. It is also useful to consult with key staff members within the LPA on the proposed set of indiv...
Any final boundary refinements should be made at this stage.
An extensive, increasingly rare upland landscape in south east Wales, exhibiting numerous examples of continuity of land use from prehistoric times. An open exposed landscape, it has distinct visual and sensory characteristics with extensive views over the coalfield plateau and up to the Brecon Beacons, together with the sense of wind noise and di...
The core of the area - Gelligaer Common - represents an important and increasingly rare upland landscape within south east Wales exhibiting continuity of land use over many centuries. This is reflected in the archaeological remains from pre Roman times. The area offers extensive opportunities for recreation and access although there are signs of ...
The area is based upon a distinct, upland landscape unit. The western boundary is formed by the boundary with Merthyr Tydfil Borough Council, along Cefn Gelligaer, however the landscape unit continues into the Merthyr Tydfil area. The other buffer zones are included to establish appropriate, defensible boundaries and reflect the intervisibility b...
Geological Landscape Habitats Visual and Sensory Historical Landscapes
H M M H M H H H High H M M M M M H H Low L L M L
H H M M Moderate M M M M Unassessed
High M O L U H M M H U Outstanding M O H H H H L H U High
As a non-statutory landscape designation, SLAs should be subject to monitoring and review. The timing and frequency of this will be determined by the local planning authority. Reviews of SLAs could be timed to coincide with any monitoring and updating of LANDMAP Information and/or an authority’s Local Development Plan review.
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Jun 2, 2020 · Landscape Mathematics is an interdisciplinary STEM field that combines knowledge in landscape architecture, mathematics, and engineering used to design, build, and perceive this world of...
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Mar 6, 2024 · Landscape architects use math to understand the land’s shape, measure areas, and calculate slopes, ensuring designs blend seamlessly with nature’s contours and remain stable. Math helps landscape architects plan irrigation, lighting, and plant quantities, creating beautiful, functional outdoor spaces that conserve resources and enhance the ...