CausticⅣV Caustic iv displays folds, cusps, and swallowtails, which are typical caustic structures, her formed by looking through a ruled, transparent colored three-dimensional curved sheet Caustic lv displays folds, cusps, and swallowtails, which are typical caustic structures, here formed by looking through a ruled, transparent colored three-dimensional curved sheet. The heet itself is smooth(but not flat when we project it onto a plane by looking through it from a certain angle) we see accumulation regions where material builds up along the line of sight. One of the most common caustics is called a cusp Cusps result when a flat part of a sheet develops a fold somewhere along the sheet At a definite point, we can see two new edges or caustics where before none existed. Several of these can be seen in Caustic MV Caustic IV emphasizes the appearance of caustics in projections of higher dimensional objects onto lower dimension, a property also present in Torus and Torus V. a caustic is a region where the higher dimensional surface lies tangent to the projection, thus it's shadow"piles up"along a caustic Color hue and value in this image are determined in part by color subtraction of overlapping parts of the sheet.Caustic IV Caustic IV displays folds, cusps, and swallowtails, which are typical caustic structures, here formed by looking through a ruled, transparent colored three-dimensional curved sheet. Caustic IV displays folds, cusps, and swallowtails, which are typical caustic structures, here formed by looking through a ruled, transparent colored three-dimensional curved sheet. The sheet itself is smooth (but not flat); when we project it onto a plane (by looking through it from a certain angle) we see accumulation regions where material builds up along the line of sight. One of the most common caustics is called a cusp. Cusps result when a flat part of a sheet develops a fold somewhere along the sheet. At a definite point, we can see two n ew edges or caustics where before none existed. Several of these can be seen in Caustic IV. Caustic IV emphasizes the appearance of caustics in projections of higher dimensional objects onto lower dimension, a property also present in Torus III and Torus IV. A caustic is a region where the higher dimensional surface lies tangent to the projection, thus it’s shadow “piles up” along a caustic. Color hue and value in this image are determined in part by color subtraction of overlapping parts of the sheet