Curved Path
I suggest that you use an SVG path with rounded corner:
https://developer.mozilla.org/en-US/docs/Web/CSS/clip-path
It should look like this (this is a heart shape as an example):
.hex img {
clip-path: path('M0.5,1 C0.5,1,0,0.7,0,0.3 A0.25,0.25,1,1,1,0.5,0.3 A0.25,0.25,1,1,1,1,0.3 C1,0.7,0.5,1,0.5,1 Z');
}
Here's the documentation concerning paths:
https://developer.mozilla.org/en-US/docs/Web/SVG/Tutorial/Paths
You can also create the path with a vector editing software like Illustrator, or directly only with tools like this: https://yqnn.github.io/svg-path-editor/
SVG filter
Another solution would be to use SVG filters. Although it may look "simpler" I strongly suggest that you use curved paths (the solution I mentioned earlier) for performance and readability.
You can declare a filter that will smooth corners like that:
<svg style="visibility: hidden; position: absolute;" width="0" height="0" xmlns="http://www.w3.org/2000/svg" version="1.1">
<defs>
<filter id="round">
<feGaussianBlur in="SourceGraphic" stdDeviation="5" result="blur" />
<feColorMatrix in="blur" mode="matrix" values="1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 19 -9" result="goo" />
<feComposite in="SourceGraphic" in2="goo" operator="atop"/>
</filter>
</defs>
</svg>
Then, you just need to use the filter
CSS property
.hex::before {
content:"";
display:block;
padding-top:86.6%;
background:red;
clip-path: polygon(25% 0%, 75% 0%, 100% 50%, 75% 100%, 25% 100%, 0% 50%);
}
.hex {
width: 100px;
height: 100px;
filter: url(#round)
}
source: https://dev.to/afif/css-shapes-with-rounded-corners-56h