Interpretation of dendritic growth of metallic crystals using neodymium magnets. If in a linear chain of neodymium magnets approach a smaller chain of neodymium magnets, they are attached at a 60 degree angle, as shown in the figure below. The red hemisphere is the North magnetic pole while the white hemisphere is the South magnetic pole. In the following image I approach the small chain with her North magnetic pole. In the following image I approach the small chain with her South magnetic pole. In the figure below, see both cases together. What would happen if it applied an F force as shown in the figure below? Obviously I will be led to a flat closed packing arrangement CP. While applying a F force as shown in the figure below, I will be led to a flat simple packing arrangement SP. By sequentially attaching small chains with the same polarity next to each other, then created a closed magnet array. If I continue the same process in different directions around the initial neodymium magnet chain, then a dendrite shape will be created, which looks very much like the pictures of dendritic growth of the metal crystals. Observe below images of dendritic growth of metallic gold crystals. You will also notice that the angle formed between the lines is either 60 degrees or 120 degrees. Gold crystallizes in the cubic system and we observe the formation of octahedral crystals and deltoid icositetraedral crystals. Images from http://www.geo.auth.gr/106/1_elements/gold.htm and https://nhm.org/site/join-us/gem-mineral-council/photo-atlas-minerals Observe in the following videos, the 3D dendritic growth of metallic crystals.
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