The Eucalyptus regnans is perfect for small homes.
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A wide variety of eucalypt trees are grown in most sub tropical
regions in Australia. (link)
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There are around 700 types of Eucalyptus. The tallest grow in Victoria and Tasmania in the southeast of Australia, and are Eucalyptus regnans, the Mountain Ash. This species is the tallest flowering plant in the world and possible the tallest of all plants. Mountain ash can exceed 300 feet in the wild.
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Regnans in Excelsis was created in 1570.
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Ipe in the Amazon, the Rain Forest can reach 40 ft in five
years. Some trees have made it to 45 m. The tallest tree ever was
138 metres tall (mountain-ash, Eucalyptus regnans, not an oak) in
Australia. So not quite.