Thallus
Shape is important because
plants need to
Minimize Water evaporation.
A sphere has the least amount of Surface Area / Volume ratio.
A flat sheet has the greatest Surface Area / Volume ratio.
Water would evaporate more
readily from the sheet because more molecules are in direct contact with the atmosphere.
However, plants need to perform Photosynthesis in order to survive. Consequently, plants need to maximize their surface area to intercept as much light as possible.
The process of evolution has selected plants which are best able to balance these two conflicting needs.
The first land plants
probably resembled a discus
which was thin at the margins and thick in the middle. This is similar to certain
Green
Algae (Coleochaete) & Hornworts (Anthoceros). However, this shape has a
relatively
Large Surface / Volume ratio.
Some Thallose Liverworts have a shape like this but there are no large land plants with this kind of shape.
Consequently, other shapes must have had greater adaptive value.
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| Diagram of Anthoceros Thallus: This resembles a frilly Discus. | Marchantia has a strap-like thallus. This has less Surface Area / Volume than a flat sheet. |
A strap-like
thallus would have less surface area compared to
a disk-like thallus and there are some land plants like Marchantia
that have this kind of shape. This kind of thallus would be multilayered in its center and unilayered at its margin.
A Cylinder
has even less Surface Area / Volume than a strap-
like
structure. The first fossil land plants had cylindrical
thalli and some extant plants have retained this shape.
These
thalli would be similar to stems and roots.
The first cylindrical organisms probably had horizontal
photosynthetic stems called Stolons.

Specialized, Absorptive Underground Stems called Rhizomes developed later and eventually Upright, Aerial, Photosynthetic Sstems arose.
All of these had a simple Tissue organization of with
Vascular
Tissues
in the center, surrounded by Ground Tissue and
Epidermis.
Initially, all of these Organs had one Central Strand of Vascular Tissues (Xylem & Phloem), a cylinder of Photosynthetic Parenchyma (Chlorenchyma) and an Epidermis.
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| Cross-Section of a Flat Thallus showing the internal Tissues | Cross-Section of a Cylindrical Stem showing the internal Tissues |
The Psilophyta illustrate these evolutionary advances.