Look around the Graphics Lab
Regular, Semi-Regular Polyhedra, and thier Duals (first page)
Prisms, Anti-prisms, Pryamids, and related Polyhedra
Miscellanous Polyhedra: Deltahedra
Johnson Solids -- The other convex polyhedra with regular faces
Why I studied polyhedra, and Image Generation Techniques
Known Polyhedral Mathematical Formula
Data Sources and links for Polyhedral Data
Deltahedra are polygons built only from equilateral triangles, and by this definition an infinite number of such solids exist. However if we further limit this to convex polyhedra, then only a limited number of such solids exist. All of these are part of various polyhedra sets, which is how I have ordered them below. See also Wikipedia Deltahedron.Platonic Deltahedra
tetrahedron
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wikipedia
octahedron
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wikipedia
icosahedron
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wikipediaDi-Pyramid Deltahedra
triangular_dipyramid
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wikipedia
pentagonal_dipyramid
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wikipediaOther Johnson Deltahedra
j17_gyroelongated_square_dipyramid
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wikipedia
j51_triaugmented_triangular_prism
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wikipedia
j84_snub_disphenoid
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wikipedia
https://antofthy.gitlab.io/graphics/polyhedra/