Doug used a sheet of blue plexiglas (an acrylic plastic) for the base and straight white acrylic artist's tube paint for the bow & stern wakes. Colored sheet plaxiglas is an item which can be purchased from your local industrial plastic supply house. The local hardware store likely only has clear plexiglas, the stuff used for unbreakable windows.
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I created the waterline version of the Big E by cutting down the hull with my trusty and often abused Dremel. I used blue textured acrylic for the water base and white acrylic paint for the wakes. If I ever build this kit again (not likely!) I would use Celluclay for the water instead. It gives you more creative freedom to produce waves and more accurate wakes.
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Celluclay is a papier mache-like product. It is sold in art & craft stores such as Michaels, MJ Designs, Hobby Lobby, or the like. While it does not absolutely require baking to harden, it is recommended to speed drying. Mix it with water, glop it in place shape it and allow to dry. It does shrink when drying. Paint the dried material with artists tube paints.
Acrylic paste is an artist's acrylic medium used for creating thick texture techniques in paintings. It is sold in the arts & craft stores (like those mentioned above) or in art supply houses. It goes on white and dries clear to translucent. It does shrink when glopped on in quantities. Look for the LiquiTex brand. The gel gomes in a tub -- 6 to 8 inches in diameter and 6 inches tall. The gel can be colored by mixing with acrylic paint (tube kind for artists). Use Paynes Gray for the deepest water and blues & greens to add visual interest. Check phots of your ocean of interest.
Acrylic varnish or blending medium is a thinner or extender which is mixed with the tube paint it makes a thinner paint which flows well. I use this for my water washes to create depth. Future acrylic floor polish can also colored with some tube paint. It dries shiney. This is the most liquid & watery material that I use.