Sometimes.
By definition, a semi-regular tessellation must include more than one type of regular polygon. Some uniform tessellations use more than one type of regular polygon, but many uniform tessellations use only a single regular polygon. Therefore the statement is only sometimes true.
See the answer below.
Yes. For example, dodecagons, squares and triangles.
Semiregular tessellations, also known as Archimedean tessellations, combine two or more types of regular polygons in a repeating pattern. Examples include the square-triangle tessellation, which features squares and equilateral triangles, and the hexagon-dodecagon tessellation, which incorporates regular hexagons and regular dodecagons. Another example is the square-octagon tessellation, which alternates squares and octagons. These tessellations maintain a consistent vertex arrangement across the pattern.
A uniform tessellation is a pattern of shapes that completely covers a surface without any gaps or overlaps, where all the polygons used are regular and identical in shape and size. Each vertex in a uniform tessellation has the same arrangement of polygons around it, creating a visually harmonious design. Common examples include the tessellation of regular triangles, squares, and hexagons. These patterns can be found in various fields, including art, architecture, and mathematics.
Yes it is a tessellation.
false
See the answer below.
true
Yes. For example, dodecagons, squares and triangles.
By the use of wording "uniform" you are in fact stating that the tesselations are "regular"
A uniform tessellation is a pattern of shapes that completely covers a surface without any gaps or overlaps, where all the polygons used are regular and identical in shape and size. Each vertex in a uniform tessellation has the same arrangement of polygons around it, creating a visually harmonious design. Common examples include the tessellation of regular triangles, squares, and hexagons. These patterns can be found in various fields, including art, architecture, and mathematics.
MC Escher made a series of etchings using space filling shapes - a form of tessellation, although not uniform tessellation.
answer
must all edges of semiregular polyhedron be the same length
Yes it is a tessellation.
Non-visible tessellation or non-existent tessellation, perhaps.
How to Make a Tessellation?