### Surfaces of higher order

An algebraic surface of higher order n in real 3-dimensional space is the set of zeros of a polynomial in 3 variables of degree n>3. The surfaces 123-125 are Kummer surfaces named after the Berlin mathematician (1810-1893). They are of order 4 and have 16 not necessarily real double points. The surfaces 126-131 are made by Kummer. The cyclides (models 153-162) are algebraic surfaces of order 4. They are also of interest in differential geometry.

 (78) Cylindroid (79) Cylindroid combined with a right-angled paraboloid (87) Developable surface of higher order (88) Developable surface of higher order (89) Developable surface of higher order (90) Developable surface of higher order (91) Developable surface of higher order (92) Developable surface of higher order (93) Developable surface of higher order (94) Developable surface of higher order (122) Cylindroid made of carton discs (123) Kummer surface with 8 real double points (124) Kummer surface with 16 double points (125) Kummer areas with 8 respectively 16 respectively 4 real intersections (126) Surface of 4. order with 4 planes touching along circles (127) Areas of 4. order with 4 circles touching along the plane (128) Surface of 4. order with 4 planes touching along cicles (129) Surface of 4. order with 4 planes touching along cicles (130) Surface of 4. order with 4 planes touching along cicles (131) Surface of 4. order with 4 planes touching along cicles (132) Surface of 4. order with a double line (133) Surface of 4. order with double lines (134) Surface of 8. order (151) Chord central point area of a space curve of 4. order. (152) Surface of 12. order (153) Ring cyclide of Dupin (154) Cyclide of Dupin (155) Cyclide of Dupin (156) Horn cyclide of Dupin (157) Spindel cyclide of Dupin (158) Parabolic horn cyclide of Dupin (159) Cyclide of Dupin (160) Cyclide with two conjugated imaginary double points (161) Cyclide with two conjugated imaginary double points and a real double point (162) Cyclide with a uniplanar double point (302) Surface of 5. order with many symmetry attributes (371) Spherical torus of circular brass wires