Considering the projective variety of dimension 1 in PG(2, Q) defined by
	x^3 - y^2*z + z^3
The same equations, all of the same degree (d = 3)
	x^3 - y^2*z + z^3
The dimension vector is (1, 9, 6)
The 1 morphism(s) defining the variety (i.e. the maps 2->1) are
	x0 - x7 + x9
The 3 morphisms defining the d-uple embedding (i.e. the maps 2->3) are described by
	(x0, x1, x2, x3, x4, x5)
	(x1, x3, x4, x6, x7, x8)
	(x2, x4, x5, x7, x8, x9)

Considering the projective variety of dimension 1 in PG(2, Q) defined by
	x^3*y + y^3*z + x*z^3
The same equations, all of the same degree (d = 4)
	x^3*y + y^3*z + x*z^3
The dimension vector is (1, 14, 10)
The 1 morphism(s) defining the variety (i.e. the maps 2->1) are
	x1 + x9 + x11
The 3 morphisms defining the d-uple embedding (i.e. the maps 2->3) are described by
	(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
	(x1, x3, x4, x6, x7, x8, x10, x11, x12, x13)
	(x2, x4, x5, x7, x8, x9, x11, x12, x13, x14)

Considering the projective variety of dimension 2 in PG(3, Q) defined by
	x^4 + y^4 + x*y*z*w + z^2*w^2 - w^4
The same equations, all of the same degree (d = 4)
	x^4 + y^4 + x*y*z*w + z^2*w^2 - w^4
The dimension vector is (1, 34, 20)
The 1 morphism(s) defining the variety (i.e. the maps 2->1) are
	x0 + x14 + x20 + x32 - x34
The 4 morphisms defining the d-uple embedding (i.e. the maps 2->3) are described by
	(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)
	(x1, x4, x5, x6, x10, x11, x12, x13, x14, x15, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29)
	(x2, x5, x7, x8, x11, x13, x14, x16, x17, x18, x21, x23, x24, x26, x27, x28, x30, x31, x32, x33)
	(x3, x6, x8, x9, x12, x14, x15, x17, x18, x19, x22, x24, x25, x27, x28, x29, x31, x32, x33, x34)

Considering the projective variety of dimension 2 in PG(4, Q) defined by
	x0 + x1 + x2 + x3 + x4
	x0^3 + x1^3 + x2^3 + x3^3 + x4^3
The same equations, all of the same degree (d = 3)
	x0^3 + x0^2*x1 + x0^2*x2 + x0^2*x3 + x0^2*x4
	x0^3 + x1^3 + x2^3 + x3^3 + x4^3
The dimension vector is (1, 34, 15)
The 2 morphism(s) defining the variety (i.e. the maps 2->1) are
	x0 + x1 + x2 + x3 + x4
	x0 + x15 + x25 + x31 + x34
The 5 morphisms defining the d-uple embedding (i.e. the maps 2->3) are described by
	(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)
	(x1, x5, x6, x7, x8, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24)
	(x2, x6, x9, x10, x11, x16, x19, x20, x21, x25, x26, x27, x28, x29, x30)
	(x3, x7, x10, x12, x13, x17, x20, x22, x23, x26, x28, x29, x31, x32, x33)
	(x4, x8, x11, x13, x14, x18, x21, x23, x24, x27, x29, x30, x32, x33, x34)