aula zomes - nena e gugu
TRANSCRIPT
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Roteiro
• Uma geometria simples apresenta apenas uma ou poucas formas numacomposição, uma geometria complexa apresenta conjunto de formas e relaçõesentre as formas. Tanto na bidimensionalidade quanto na tridimensionalidade.
• Zome é uma estrutura tridimensional complexa
• Do Latim COMPLEXUS, “o que rodeia, o que inclui”, particípio passado de
COMPLECTI, “rodear, abraçar”, formado por COM-, “junto”, mais PLECTERE,“tecer, entrelaçar”.
• Observando a natureza através da matemática o homem começou a perceber queela apresenta padrões, que segue modelos. E alguns padrões apresentamsingularidades interessantes e misteriosas.
•
Razão Aurea e o número Phi• Dinergia e dupla curvatura
• Flor da vida
• zome
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Roteiro
• Quem trabalha com o espaço tem que fazer escolhas – e isto é inevitável.
• Estas escolhas são aleatórias ou direcionadas.
• É inevitável que formas sejam construidas, vivemos num mundo de formas
• Como é feita as escolhas?
– Tem algo além de um sentido prático ou utilitário?
– É apenas definido pelos materiais?• Quando o ser humano saiu das cavernas ele teve que construir seu abrigo, e ele
teve que começar a escolher, como era seu abrigo? Redondo? Quadrado?
• Começou naturalmente a trabalhar com a geometria (medida da terra)
• E começou a perceber que as formas apresentam singularidades, começou assima teorizar sobre a geometria e dar nome as formas: ponto, linha, triangulo, circulo,quadrado, trapézio...
• E assim naturalmente estendeu o que fazia em sua prática para a natureza, e aentender a natureza através da geometria, foi criando “ensinamentos” nasceu amatemática: a palavra grega "máthema" que significa Ciência, conhecimento ouaprendizagem, derivando daí "mathematikós", que significa o prazer de aprender.
• A aritmética (da palavra grega ἀριθμός, arithmós[Nota 1], "número")
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Reforçam nossa conexãoterra/céu e animam nossa
verticalidade através daintegração do arquétipo
da espiral.Constituem espaços
privilegiados onde vocêpode construir sua casa
para dispor de umaqualidade vibratória
especial de bem-estar, deregeneração, de
meditação… Sua iluminação e
qualidades acústicas estãoparticularmente bem
adaptadas ao trabalho emgrupo, assim como a
prática de canto eutilização de instrumentos
harmônicos
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Zomes são volumes geométricoscompostos de losângos organizados em
uma espiral dupla.
Uma projeção tridimensional de um hipercubo. Zonohedros foramoriginariamente definidos e estudados por E. S. Fedorov, um cristalografista russo.
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Biomimética…
A natureza usa essas formas para suaconstrução, onde será que o ser humanoperdeu a consciência de copiar a
natureza para conseguir mais eficiência?
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Um zome pode ser curvo (numa forma feminina) ou feito em painéis delosangulos (numa forma masculina)…
Um “zome mascullino” é um poliedro: uma estrutura constituida por faces(losangulos) limitados por segmentos (arestas) do mesmo tamanho. Suaaparência geral é a de um diamante. Um dome curvo é redondo: em vez de umsistema multifacetado vamos para uma coisa mais unitária.
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Losangos são paralelogramos com quatro lados iguais. Seus quatro ângulosinternos podem ter qualquer medida desde que somem 360° e os ângulosopostos sejam iguais.
TEOREMAS
“as diagonais de um losango são perpendiculares”
“cada diagonal de um losango é a bissetriz de dois ângulos opostos, cujos
vértices são seus pontos extremos”
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Fórmulas muito úteis para relembrar:
Área do círculo A=π.R²
Circunferência A=2.π²Área do losango A=hb
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Losangos são paralelogramos com quatro lados iguais. Seusquatro ângulos internos podem ter qualquer medidadesde que somem 360° e os ângulos opostos sejam iguais.
TEOREMAS:“as diagonais de um losango são perpendiculares” “cada diagonal de um losango é a bissetriz de dois ângulos opostos,cujos vértices são seus pontos extremos”
FI (Phi, Φ, τ) = 1,618…
Pi (π) = 3,14