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  • A stone and glass bridge spanning across a road
    Oxford is famous for its breath-taking architecture and history, and amongst the theatres and colleges there stands the Bridge of Sighs. A must see tourist attraction, but also host to a little-known geometrical property!
  • An image of an electricity box painted in an Escher style.
    The electricity boxes in Brisbane are painted in a variety of styles. On the corner of Edward st and Astor Terrace in Springhill, you will find one of these electricity boxes painted in an Escher style
  • I noticed the golden ratio in the "Great Jaguar" temple in Tikal, Guatemala (700 a.d.)
  • Gympie is 160km north of Brisbane, Queensland and is a historical town with many points of interest. At Wood Works, The Forestry and Timber Museum you will find a large timber sphere. The muesum is located a short drive north of Gympie.
  • While I was walking through Yarm yesterday, I noticed an octagonal plaque on a wall directing my attention down an alleyway. Sure enough, there was an octagonal church at the end of the alley. There was also a rather fetching blue tiled pavement, but unfortunately the octagonal theme couldn't continue there: the only regular polygons which can tesselate the plane are triangles, squares or hexagons.
  • Casa da Música was conceived from a truncated cube.
  • Polyhedra in a mining village roundabout. In this location explores pyrite which crystallizes in the form of polyhedra. Its isometric crystals usually appear as cubes, but also often as octahedrons or piritoedros (dodecahedron with pentagonal faces).
  • Bicycle is great means of transport. A front wheel goes a longer way than a rear one.
  • Why do tall buildings appear to get thinner towards the top as you look up at them? It's all about perspective (how objects appear to the eye based on their spatial attributes & position relative to the eye). As objects become more distant they appear smaller because their visual angle, the angle subtended at the eye by a triangle with the object at its base, decreases. The greater the distance of the object from the eye, the greater the height of this triangle, and the less the visual angle.
  • Navigating using your phone
    Many of us now rely on a little electronic help in finding our way, making the most of the GPS in our phones and satnavs. GPS shows us the way thanks to some simple geometry and a little help from Einstein.
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