AbstractThe present paper introduces a method for designing 3D objects that are initially incomplete, but become complete when they are augmented by their mirror reflections. Physically, the mirror image is plane-symmetric with respect to the original object, but the perceived shape is not necessarily symmetric because of optical illusion. In the proposed method, a 2D shape that is not necessarily symmetric is divided into two halves, one of which is used to construct a solid object. When we place the solid object on a plane mirror, the other half is generated by the mirror, and thus, a whole shape is realized. In the present study, the design algorithm and examples are shown, and the condition for constructability is also presented. View Full-Text
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Sugihara, K.; Moriguchi, M. Reflexively-Fused Cylinders. Symmetry 2018, 10, 275.
Sugihara K, Moriguchi M. Reflexively-Fused Cylinders. Symmetry. 2018; 10(7):275.Chicago/Turabian Style
Sugihara, Kokichi; Moriguchi, Masaki. 2018. "Reflexively-Fused Cylinders." Symmetry 10, no. 7: 275.
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