A 4D triangular prism is the four-dimensional analog of a cube. It is possible to draw a cube on a flat surface by distorting the angles and lengths in a way that our minds perceive depth. It is also possible to draw extra-dimensional shapes in this way. This wikiHow explains how to draw a triangular prism in 4-D.
Steps
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1Draw a small triangle. This will be the center of your drawing, so be sure to leave plenty of space around it.
- Any triangle will work, but an equilateral triangle is the easiest to draw in terms of perspective.
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2Draw another triangle exactly like the first. It should have the same size and proportions. Draw it diagonally up and to the right from the first triangle. Neither of the triangles should overlap.Advertisement
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3Connect the corresponding corners of each triangle. The drawing should look like a small triangular prism at this point.
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4Extend the lines forming the inner corner of the second triangle. Both lines should be extended roughly the same amount outward, and the diagonal line should also extend a little way downward.
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5Connect the extensions from the previous step. This should form a large triangle.
- The drawing may start to seem chaotic, but that will be fixed later on.
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6Draw a line from the top of the new, larger triangle. It should be parallel to the line that is the top of the smaller, central triangular prism. It should extend farther out than this line.
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7Connect the end of the line from the previous step to the top corner of the triangle from the beginning.
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8Draw a line from each remaining corner of the triangle from the beginning. They should be angled such that they appear to be coming toward the viewer.
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9"Connect the dots". Each line or corner not connected to something will now be connected to the one adjacent to it. The lines extending from the beginning triangle will be connected to form a larger triangle.
- The drawing will now look like two triangular prisms, one inside the other.
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10Connect any remaining vertices. Corresponding corners should be connected from the little triangles to each other, the large triangles to each other, and the inner triangular prism to the outer one.
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11Lighten some of the lines. Faint lines are used in 3-D and 4-D visualizations to mark edges one wouldn't be able to see if the drawing was a physical object. Gently erase any lines covered by the faces of the prism.
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12Color the prism. This is optional. However, colors can help one visualize the perspective of the prism easier.
- Try using one color per face and lightening the colors where the lines are also light.
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